From 0e12c7d1b73c5dc0a114b942a55e9ae24805c70b Mon Sep 17 00:00:00 2001 From: king-p3nguin Date: Sun, 26 Feb 2023 19:23:34 +0900 Subject: [PATCH] simulator=true & add reno --- .../fake_provider/backends/almaden/conf_almaden.json | 2 +- .../fake_provider/backends/armonk/conf_armonk.json | 2 +- .../fake_provider/backends/athens/conf_athens.json | 2 +- .../fake_provider/backends/auckland/conf_auckland.json | 2 +- .../providers/fake_provider/backends/belem/conf_belem.json | 2 +- .../fake_provider/backends/boeblingen/conf_boeblingen.json | 2 +- .../fake_provider/backends/bogota/conf_bogota.json | 2 +- .../fake_provider/backends/brooklyn/conf_brooklyn.json | 2 +- .../fake_provider/backends/burlington/conf_burlington.json | 2 +- .../providers/fake_provider/backends/cairo/conf_cairo.json | 2 +- .../fake_provider/backends/cambridge/conf_cambridge.json | 2 +- .../fake_provider/backends/casablanca/conf_casablanca.json | 2 +- .../providers/fake_provider/backends/essex/conf_essex.json | 2 +- .../fake_provider/backends/geneva/conf_geneva.json | 2 +- .../fake_provider/backends/guadalupe/conf_guadalupe.json | 2 +- .../providers/fake_provider/backends/hanoi/conf_hanoi.json | 2 +- .../fake_provider/backends/jakarta/conf_jakarta.json | 2 +- .../backends/johannesburg/conf_johannesburg.json | 2 +- .../fake_provider/backends/kolkata/conf_kolkata.json | 2 +- .../providers/fake_provider/backends/lagos/conf_lagos.json | 2 +- qiskit/providers/fake_provider/backends/lima/conf_lima.json | 2 +- .../fake_provider/backends/london/conf_london.json | 2 +- .../fake_provider/backends/manhattan/conf_manhattan.json | 2 +- .../fake_provider/backends/manila/conf_manila.json | 2 +- .../fake_provider/backends/melbourne/conf_melbourne.json | 2 +- .../fake_provider/backends/montreal/conf_montreal.json | 2 +- .../fake_provider/backends/mumbai/conf_mumbai.json | 2 +- .../fake_provider/backends/nairobi/conf_nairobi.json | 2 +- qiskit/providers/fake_provider/backends/oslo/conf_oslo.json | 2 +- .../fake_provider/backends/ourense/conf_ourense.json | 2 +- .../providers/fake_provider/backends/paris/conf_paris.json | 2 +- .../providers/fake_provider/backends/perth/conf_perth.json | 2 +- .../backends/poughkeepsie/conf_poughkeepsie.json | 2 +- .../fake_provider/backends/prague/conf_prague.json | 2 +- .../providers/fake_provider/backends/quito/conf_quito.json | 2 +- .../fake_provider/backends/rochester/conf_rochester.json | 2 +- qiskit/providers/fake_provider/backends/rome/conf_rome.json | 2 +- .../fake_provider/backends/rueschlikon/fake_rueschlikon.py | 2 +- .../fake_provider/backends/santiago/conf_santiago.json | 2 +- .../fake_provider/backends/sherbrooke/conf_sherbrooke.json | 2 +- .../fake_provider/backends/singapore/conf_singapore.json | 2 +- .../fake_provider/backends/sydney/conf_sydney.json | 2 +- .../fake_provider/backends/tenerife/fake_tenerife.py | 2 +- qiskit/providers/fake_provider/backends/tokyo/fake_tokyo.py | 2 +- .../fake_provider/backends/toronto/conf_toronto.json | 2 +- .../fake_provider/backends/valencia/conf_valencia.json | 2 +- qiskit/providers/fake_provider/backends/vigo/conf_vigo.json | 2 +- .../fake_provider/backends/washington/conf_washington.json | 2 +- .../fake_provider/backends/yorktown/conf_yorktown.json | 2 +- .../notes/fix-fake-backend-config-e7fd4670423c3d7c.yaml | 6 ++++++ 50 files changed, 55 insertions(+), 49 deletions(-) create mode 100644 releasenotes/notes/fix-fake-backend-config-e7fd4670423c3d7c.yaml diff --git a/qiskit/providers/fake_provider/backends/almaden/conf_almaden.json b/qiskit/providers/fake_provider/backends/almaden/conf_almaden.json index 1c87b226d1ef..2796168b624f 100644 --- a/qiskit/providers/fake_provider/backends/almaden/conf_almaden.json +++ b/qiskit/providers/fake_provider/backends/almaden/conf_almaden.json @@ -1 +1 @@ -{"backend_name": "ibmq_almaden", "backend_version": "1.4.6", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Almaden", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 8, "qubit_channel_mapping": [["d0", "m0", "u0", "u1"], ["u12", "u1", "u4", "u2", "d1", "m1", "u0", "u3"], ["m2", "u4", "u2", "d2", "u6", "u5"], ["d3", "u6", "m3", "u8", "u18", "u9", "u5", "u7"], ["d4", "m4", "u7", "u9"], ["m5", "u23", "u13", "u11", "u10", "d5"], ["u12", "d6", "u13", "u14", "u3", "u10", "m6", "u15"], ["u16", "d7", "u14", "u28", "m7", "u17", "u15", "u19"], ["u16", "u21", "u8", "d8", "u18", "u20", "m8", "u19"], ["u21", "u34", "m9", "d9", "u20", "u22"], ["u23", "d10", "u25", "u11", "u24", "m10"], ["d11", "u25", "u24", "u37", "u27", "u26", "u29", "m11"], ["m12", "d12", "u31", "u28", "u30", "u17", "u26", "u29"], ["u32", "u31", "d13", "m13", "u33", "u35", "u30", "u42"], ["u32", "u34", "u35", "d14", "m14", "u22"], ["d15", "u38", "m15", "u36"], ["u40", "u39", "u38", "d16", "m16", "u37", "u27", "u36"], ["u41", "u40", "u39", "d17", "m17", "u43"], ["u41", "u33", "u43", "u45", "m18", "u42", "d18", "u44"], ["m19", "u45", "u44", "d19"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.35648672471907, 5.35648672471907], [4.4717618871244, 5.4717618871244], [4.571336024573154, 5.571336024573154], [4.426432289682413, 5.426432289682413], [4.219585794144323, 5.219585794144324], [4.274995956325489, 5.27499595632549], [4.413780630124883, 5.413780630124883], [4.289640533280124, 5.289640533280124], [4.357652624635248, 5.357652624635248], [4.1590633606885, 5.1590633606885], [4.479160999088572, 5.479160999088572], [4.422247528359436, 5.422247528359436], [4.334117061541945, 5.334117061541945], [4.443746810492675, 5.443746810492675], [4.250290675564354, 5.250290675564354], [4.156787610368539, 5.156787610368539], [4.349981895908333, 5.349981895908333], [4.2850557481132965, 5.2850557481132965], [4.32565056361635, 5.32565056361635], [4.2134558708905345, 5.2134558708905345]], "meas_lo_range": [[6.764856891, 7.764856891000001], [6.570226896, 7.570226896], [6.722414155, 7.722414155], [6.630569974, 7.630569974], [6.715856761, 7.715856761], [6.479389665, 7.479389665], [6.640246272000001, 7.640246272000001], [6.534825806000001, 7.534825806000001], [6.797209412000001, 7.797209412000001], [6.597757684, 7.597757684], [6.786899984000001, 7.786899984000001], [6.554657786000001, 7.554657786000001], [6.703657122, 7.703657122], [6.653318307, 7.653318307], [6.682410566000001, 7.682410566000001], [6.475843032, 7.475843032], [6.633222076, 7.633222076000001], [6.518386448, 7.518386448], [6.807007960000001, 7.807007960000001], [6.604129811000001, 7.604129811000001]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": -2.011862906392083, "delta1": -2.009003525889396, "delta10": -2.0027017397238374, "delta11": -2.0072867363887688, "delta12": -2.0173700974377327, "delta13": -2.0091111913493975, "delta14": -2.0277167879096267, "delta15": -2.0449806869453893, "delta16": -2.0165829101486694, "delta17": -2.0189969686578717, "delta18": -2.0203628875009074, "delta19": -2.0293174139061065, "delta2": -1.9930980311074815, "delta3": -2.0146589891444973, "delta4": -2.023337255768121, "delta5": -2.0262875497633326, "delta6": -1.691037120335585, "delta7": -1.8664396249376654, "delta8": 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0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file +{"backend_name": "ibmq_almaden", "backend_version": "1.4.6", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Almaden", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 8, "qubit_channel_mapping": [["d0", "m0", "u0", "u1"], ["u12", "u1", "u4", "u2", "d1", "m1", "u0", "u3"], ["m2", "u4", "u2", "d2", "u6", "u5"], ["d3", "u6", "m3", "u8", "u18", "u9", "u5", "u7"], ["d4", "m4", "u7", "u9"], ["m5", "u23", "u13", "u11", "u10", "d5"], ["u12", "d6", "u13", "u14", "u3", "u10", "m6", "u15"], ["u16", "d7", "u14", "u28", "m7", "u17", "u15", "u19"], ["u16", "u21", "u8", "d8", "u18", "u20", "m8", "u19"], ["u21", "u34", "m9", "d9", "u20", "u22"], ["u23", "d10", "u25", "u11", "u24", "m10"], ["d11", "u25", "u24", "u37", "u27", "u26", "u29", "m11"], ["m12", "d12", "u31", "u28", "u30", "u17", "u26", "u29"], ["u32", "u31", "d13", "m13", "u33", "u35", "u30", "u42"], ["u32", "u34", "u35", "d14", "m14", "u22"], ["d15", "u38", "m15", "u36"], ["u40", "u39", "u38", "d16", "m16", "u37", "u27", "u36"], ["u41", "u40", "u39", "d17", "m17", "u43"], ["u41", "u33", "u43", "u45", "m18", "u42", "d18", "u44"], ["m19", "u45", "u44", "d19"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.35648672471907, 5.35648672471907], [4.4717618871244, 5.4717618871244], [4.571336024573154, 5.571336024573154], [4.426432289682413, 5.426432289682413], [4.219585794144323, 5.219585794144324], [4.274995956325489, 5.27499595632549], [4.413780630124883, 5.413780630124883], [4.289640533280124, 5.289640533280124], [4.357652624635248, 5.357652624635248], [4.1590633606885, 5.1590633606885], [4.479160999088572, 5.479160999088572], [4.422247528359436, 5.422247528359436], [4.334117061541945, 5.334117061541945], [4.443746810492675, 5.443746810492675], [4.250290675564354, 5.250290675564354], [4.156787610368539, 5.156787610368539], [4.349981895908333, 5.349981895908333], [4.2850557481132965, 5.2850557481132965], [4.32565056361635, 5.32565056361635], [4.2134558708905345, 5.2134558708905345]], "meas_lo_range": [[6.764856891, 7.764856891000001], [6.570226896, 7.570226896], [6.722414155, 7.722414155], [6.630569974, 7.630569974], [6.715856761, 7.715856761], [6.479389665, 7.479389665], [6.640246272000001, 7.640246272000001], [6.534825806000001, 7.534825806000001], [6.797209412000001, 7.797209412000001], [6.597757684, 7.597757684], [6.786899984000001, 7.786899984000001], [6.554657786000001, 7.554657786000001], [6.703657122, 7.703657122], [6.653318307, 7.653318307], [6.682410566000001, 7.682410566000001], [6.475843032, 7.475843032], [6.633222076, 7.633222076000001], [6.518386448, 7.518386448], [6.807007960000001, 7.807007960000001], [6.604129811000001, 7.604129811000001]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": -2.011862906392083, "delta1": -2.009003525889396, "delta10": -2.0027017397238374, "delta11": -2.0072867363887688, "delta12": -2.0173700974377327, "delta13": -2.0091111913493975, "delta14": -2.0277167879096267, "delta15": -2.0449806869453893, "delta16": -2.0165829101486694, "delta17": -2.0189969686578717, "delta18": -2.0203628875009074, "delta19": -2.0293174139061065, "delta2": -1.9930980311074815, "delta3": -2.0146589891444973, "delta4": -2.023337255768121, "delta5": -2.0262875497633326, "delta6": -1.691037120335585, "delta7": -1.8664396249376654, "delta8": -2.01311559576246, "delta9": -2.0419801086857228, "jq0q1": 0.013552594610647693, "jq10q11": 0.01327523439460906, "jq11q12": 0.012495441860623851, "jq11q16": 0.012377352624953498, "jq12q13": 0.014911155588176048, "jq13q14": 0.014507189987866287, "jq13q18": 0.012708229840552948, "jq15q16": 0.013445083038117336, "jq16q17": 0.01383938669414074, "jq17q18": 0.014572275029814896, "jq18q19": 0.013155154764155375, "jq1q2": 0.012814382924040893, "jq1q6": 0.012750120372307928, "jq2q3": 0.014905257590759557, "jq3q4": 0.014332055389630807, "jq3q8": 0.012937200848694133, "jq5q10": 0.012897145701898094, "jq5q6": 0.013054381227810188, "jq6q7": 0.014528965509168336, "jq7q12": 0.012377736940018789, "jq7q8": 0.01395682369192269, "jq8q9": 0.013284773256866804, "jq9q14": 0.012252928581670866, "omegad0": 1.4185476588616868, "omegad1": 1.6570308355353351, "omegad10": 1.4973521366801745, "omegad11": 1.5924404047138858, "omegad12": 1.3871392595677239, "omegad13": 1.6005423962665948, "omegad14": 1.3945215683896248, "omegad15": 1.2231673348027485, "omegad16": 1.551446125008223, "omegad17": 1.560919900827341, "omegad18": 0.43551924473205883, "omegad19": 0.7827522684605802, "omegad2": 1.657346518539804, "omegad3": 1.6884244557329355, "omegad4": 1.5166691524320255, "omegad5": 1.8987129752148004, "omegad6": 1.5725996903670332, "omegad7": 1.3330527010550894, "omegad8": 0.7986108232628619, "omegad9": 1.3538359076389048, "wq0": 30.514206033267573, "wq1": 31.23850123997548, "wq10": 31.284991231554944, "wq11": 30.927393348489037, "wq12": 30.373653294266504, "wq13": 31.06247732210352, "wq14": 29.84695657753814, "wq15": 29.25945949212354, "wq16": 30.47333498845823, "wq17": 30.06539197058069, "wq18": 30.320456718897134, "wq19": 29.61551667401877, "wq2": 31.864143997368576, "wq3": 30.953686979347626, "wq4": 29.654032117741114, "wq5": 30.002184434626255, "wq6": 30.874194257904314, "wq7": 30.094199025377474, "wq8": 30.521531598490544, "wq9": 29.27375845309673}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/armonk/conf_armonk.json b/qiskit/providers/fake_provider/backends/armonk/conf_armonk.json index 2221a8bc53e5..6275c4c71c4a 100644 --- a/qiskit/providers/fake_provider/backends/armonk/conf_armonk.json +++ b/qiskit/providers/fake_provider/backends/armonk/conf_armonk.json @@ -1 +1 @@ -{"backend_name": "ibmq_armonk", "backend_version": "2.4.3", "n_qubits": 1, "basis_gates": ["id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": null, "dynamic_reprate_enabled": false, "supported_instructions": ["u1", "play", "shiftf", "measure", "u2", "delay", "sx", "x", "setf", "acquire", "rz", "u3", "id"], "max_experiments": 75, "sample_name": "family: Canary, revision: 1.2", "n_registers": 1, "credits_required": true, "online_date": "2019-10-16T04:00:00+00:00", "description": "1 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1.2}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 1, "qubit_channel_mapping": [["d0", "m0"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 0, "u_channel_lo": [], "meas_levels": [1, 2], "qubit_lo_range": [[4.471852852405576, 5.4718528524055765]], "meas_lo_range": [[6.493370669000001, 7.493370669000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{0}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ \\end{align}", "h_str": ["_SUM[i,0,0,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,0,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,0,-delta{i}/2*O{i}]", "_SUM[i,0,0,omegad{i}*X{i}||D{i}]"], "osc": {}, "qub": {"0": 3}, "vars": {"delta0": -2.1814775258495027, "omegad0": 0.11622062289875916, "wq0": 31.239072791693637}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}}} \ No newline at end of file +{"backend_name": "ibmq_armonk", "backend_version": "2.4.3", "n_qubits": 1, "basis_gates": ["id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": null, "dynamic_reprate_enabled": false, "supported_instructions": ["u1", "play", "shiftf", "measure", "u2", "delay", "sx", "x", "setf", "acquire", "rz", "u3", "id"], "max_experiments": 75, "sample_name": "family: Canary, revision: 1.2", "n_registers": 1, "credits_required": true, "online_date": "2019-10-16T04:00:00+00:00", "description": "1 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1.2}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 1, "qubit_channel_mapping": [["d0", "m0"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 0, "u_channel_lo": [], "meas_levels": [1, 2], "qubit_lo_range": [[4.471852852405576, 5.4718528524055765]], "meas_lo_range": [[6.493370669000001, 7.493370669000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{0}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ \\end{align}", "h_str": ["_SUM[i,0,0,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,0,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,0,-delta{i}/2*O{i}]", "_SUM[i,0,0,omegad{i}*X{i}||D{i}]"], "osc": {}, "qub": {"0": 3}, "vars": {"delta0": -2.1814775258495027, "omegad0": 0.11622062289875916, "wq0": 31.239072791693637}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/athens/conf_athens.json b/qiskit/providers/fake_provider/backends/athens/conf_athens.json index 16408d5cc858..914ce299e715 100644 --- a/qiskit/providers/fake_provider/backends/athens/conf_athens.json +++ b/qiskit/providers/fake_provider/backends/athens/conf_athens.json @@ -1 +1 @@ -{"backend_name": "ibmq_athens", "backend_version": "1.3.13", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "x", "setf", "id", "u3", "measure", "u2", "delay", "rz", "acquire", "play", "u1", "reset", "shiftf", "sx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-03-13T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u3", "u2", "d1", "u1", "u0", "m1"], ["u5", "u3", "u2", "m2", "u4", "d2"], ["u5", "m3", "u6", "u4", "d3", "u7"], ["m4", "u7", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.6753836395136075, 5.6753836395136075], [4.767216864382969, 5.767216864382969], [4.5524024697946635, 5.5524024697946635], [4.355916030466884, 5.355916030466884], [4.618554567140891, 5.618554567140891]], "meas_lo_range": [[6.714107437, 7.714107437000001], [6.860372122, 7.860372122], [6.798419517, 7.798419517], [6.663115298, 7.663115298], [6.911673028, 7.911673028]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.111793476400394, "delta1": -2.0894421352015744, "delta2": -2.1179183671068604, "delta3": -2.0410045431261215, "delta4": -2.1119885565086776, "jq0q1": 0.010495754104003914, "jq1q2": 0.010781715511200012, "jq2q3": 0.008920779377814226, "jq3q4": 0.008985191651087791, "omegad0": 0.9715458990879812, "omegad1": 0.9803812537440838, "omegad2": 0.9494756077681784, "omegad3": 0.9763998543087951, "omegad4": 0.9829308019780478, "wq0": 32.517894442809514, "wq1": 33.0948996120196, "wq2": 31.74518096417169, "wq3": 30.51062025552735, "wq4": 32.16082685025662}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_athens", "backend_version": "1.3.13", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "x", "setf", "id", "u3", "measure", "u2", "delay", "rz", "acquire", "play", "u1", "reset", "shiftf", "sx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-03-13T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u3", "u2", "d1", "u1", "u0", "m1"], ["u5", "u3", "u2", "m2", "u4", "d2"], ["u5", "m3", "u6", "u4", "d3", "u7"], ["m4", "u7", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.6753836395136075, 5.6753836395136075], [4.767216864382969, 5.767216864382969], [4.5524024697946635, 5.5524024697946635], [4.355916030466884, 5.355916030466884], [4.618554567140891, 5.618554567140891]], "meas_lo_range": [[6.714107437, 7.714107437000001], [6.860372122, 7.860372122], [6.798419517, 7.798419517], [6.663115298, 7.663115298], [6.911673028, 7.911673028]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.111793476400394, "delta1": -2.0894421352015744, "delta2": -2.1179183671068604, "delta3": -2.0410045431261215, "delta4": -2.1119885565086776, "jq0q1": 0.010495754104003914, "jq1q2": 0.010781715511200012, "jq2q3": 0.008920779377814226, "jq3q4": 0.008985191651087791, "omegad0": 0.9715458990879812, "omegad1": 0.9803812537440838, "omegad2": 0.9494756077681784, "omegad3": 0.9763998543087951, "omegad4": 0.9829308019780478, "wq0": 32.517894442809514, "wq1": 33.0948996120196, "wq2": 31.74518096417169, "wq3": 30.51062025552735, "wq4": 32.16082685025662}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/auckland/conf_auckland.json b/qiskit/providers/fake_provider/backends/auckland/conf_auckland.json index 101694237071..3289152b71e2 100644 --- a/qiskit/providers/fake_provider/backends/auckland/conf_auckland.json +++ b/qiskit/providers/fake_provider/backends/auckland/conf_auckland.json @@ -1 +1 @@ -{"backend_name": "ibm_auckland", "backend_version": "1.2.13", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["play", "x", "acquire", "cx", "u1", "rz", "u2", "shiftf", "u3", "sx", "id", "setf", "measure", "reset", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-07-22T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2419, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 64, "qubit_channel_mapping": [["u1", "m0", "d0", "u0"], ["m1", "u0", "u4", "u1", "u2", "d1", "u3", "u8"], ["m2", "u4", "u6", "u5", "u2", "d2"], ["m3", "u6", "u5", "u10", "u7", "d3"], ["d4", "u13", "u9", "u3", "u8", "m4"], ["d5", "u11", "u10", "u16", "u7", "m5"], ["u12", "d6", "u14", "m6"], ["u12", "u20", "u15", "u13", "u9", "d7", "u14", "m7"], ["d8", "u19", "u11", "m8", "u16", "u18", "u17", "u22"], ["u19", "m9", "u17", "d9"], ["d10", "u20", "u15", "u21", "u24", "m10"], ["m11", "u29", "d11", "u18", "u22", "u23"], ["m12", "u21", "u26", "u24", "u32", "u27", "d12", "u25"], ["m13", "u30", "u28", "u27", "d13", "u25"], ["u29", "u30", "u34", "u28", "u31", "m14", "u23", "d14"], ["m15", "d15", "u26", "u33", "u32", "u37"], ["d16", "u40", "u34", "u35", "u31", "m16"], ["u38", "d17", "u36", "m17"], ["u38", "u33", "m18", "u36", "d18", "u44", "u39", "u37"], ["u42", "u40", "u43", "m19", "u46", "d19", "u35", "u41"], ["m20", "u41", "u43", "d20"], ["m21", "d21", "u45", "u44", "u48", "u39"], ["u52", "u42", "u47", "u46", "m22", "d22"], ["d23", "m23", "u45", "u48", "u49", "u50"], ["u53", "u51", "d24", "m24", "u49", "u50"], ["u52", "m25", "u53", "u54", "u51", "u47", "u55", "d25"], ["u54", "d26", "m26", "u55"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.432969834248503, 5.432969834248503], [4.573818830016074, 5.573818830016074], [4.505777359770017, 5.505777359770017], [4.397239837230424, 5.397239837230424], [4.420152233814071, 5.420152233814071], [4.492825135169386, 5.492825135169387], [4.5065195107816765, 5.5065195107816765], [4.328442195456001, 5.328442195456001], [4.7036046150867605, 5.7036046150867605], [4.588380267158975, 5.588380267158975], [4.226887639697103, 5.226887639697103], [4.555185858571019, 5.555185858571019], [4.389585658090766, 5.389585658090766], [4.51677642329182, 5.516776423291821], [4.667086880807076, 5.667086880807076], [4.488481466676313, 5.488481466676313], [4.469574668860307, 5.469574668860307], [4.52539334125041, 5.52539334125041], [4.287951526032317, 5.287951526032318], [4.306272301305039, 5.306272301305039], [4.191888528568098, 5.191888528568098], [4.546314506003484, 5.546314506003484], [4.468365240399085, 5.468365240399085], [4.367905152838581, 5.367905152838581], [4.456013065298386, 5.456013065298386], [4.5769938518234765, 5.5769938518234765], [4.355869381199309, 5.355869381199309]], "meas_lo_range": [[6.666366149000001, 7.666366149000001], [6.790036566, 7.790036566], [6.66720936, 7.66720936], [6.789866161000001, 7.789866161000001], [6.730809514000001, 7.730809514000001], [6.725718035000001, 7.725718035000001], [6.84053597, 7.84053597], [6.608269204000001, 7.608269204000001], [6.611764947, 7.611764947], [6.837737400000001, 7.837737400000001], [6.670815005000001, 7.670815005000001], [6.735435442, 7.735435442000001], [6.834726981, 7.834726981], [6.723992816, 7.723992816000001], [6.785324461, 7.785324461], [6.783573103, 7.783573103], [6.663917049, 7.663917049], [6.8411595080000005, 7.8411595080000005], [6.614430141000001, 7.614430141000001], [6.611011042, 7.611011042], [6.833417041000001, 7.833417041000001], [6.7305351170000005, 7.7305351170000005], [6.727873898, 7.727873898], [6.772084477000001, 7.772084477000001], [6.665657706, 7.665657706], [6.789157489000001, 7.789157489000001], [6.6592788270000005, 7.6592788270000005]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.158684308046893, "delta1": -2.1530657984756614, "delta10": -2.179337968217314, "delta11": -2.1509694035052966, "delta12": -2.1830486136854597, "delta13": -2.1540627246004536, "delta14": -2.1445012142144435, "delta15": -2.149066552418238, "delta16": 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31.45688983025136, "wq7": 30.33799705905509, "wq8": 32.69521206188502, "wq9": 31.971236131955813}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": 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"purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_auckland", "backend_version": "1.2.13", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["play", "x", "acquire", "cx", "u1", "rz", "u2", "shiftf", "u3", "sx", "id", "setf", "measure", "reset", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-07-22T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2419, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 64, "qubit_channel_mapping": [["u1", "m0", "d0", "u0"], ["m1", "u0", "u4", "u1", "u2", "d1", "u3", "u8"], ["m2", "u4", "u6", "u5", "u2", "d2"], ["m3", "u6", "u5", "u10", "u7", "d3"], ["d4", "u13", "u9", "u3", "u8", "m4"], ["d5", "u11", "u10", "u16", "u7", "m5"], ["u12", "d6", "u14", "m6"], ["u12", "u20", "u15", "u13", "u9", "d7", "u14", "m7"], ["d8", "u19", "u11", "m8", "u16", "u18", "u17", "u22"], ["u19", "m9", "u17", "d9"], ["d10", "u20", "u15", "u21", "u24", "m10"], ["m11", "u29", "d11", "u18", "u22", "u23"], ["m12", "u21", "u26", "u24", "u32", "u27", "d12", "u25"], ["m13", "u30", "u28", "u27", "d13", "u25"], ["u29", "u30", "u34", "u28", "u31", "m14", "u23", "d14"], ["m15", "d15", "u26", "u33", "u32", "u37"], ["d16", "u40", "u34", "u35", "u31", "m16"], ["u38", "d17", "u36", "m17"], ["u38", "u33", "m18", "u36", "d18", "u44", "u39", "u37"], ["u42", "u40", "u43", "m19", "u46", "d19", "u35", "u41"], ["m20", "u41", "u43", "d20"], ["m21", "d21", "u45", "u44", "u48", "u39"], ["u52", "u42", "u47", "u46", "m22", "d22"], ["d23", "m23", "u45", "u48", "u49", "u50"], ["u53", "u51", "d24", "m24", "u49", "u50"], ["u52", "m25", "u53", "u54", "u51", "u47", "u55", "d25"], ["u54", "d26", "m26", "u55"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.432969834248503, 5.432969834248503], [4.573818830016074, 5.573818830016074], [4.505777359770017, 5.505777359770017], [4.397239837230424, 5.397239837230424], [4.420152233814071, 5.420152233814071], [4.492825135169386, 5.492825135169387], [4.5065195107816765, 5.5065195107816765], [4.328442195456001, 5.328442195456001], [4.7036046150867605, 5.7036046150867605], [4.588380267158975, 5.588380267158975], [4.226887639697103, 5.226887639697103], [4.555185858571019, 5.555185858571019], [4.389585658090766, 5.389585658090766], [4.51677642329182, 5.516776423291821], [4.667086880807076, 5.667086880807076], [4.488481466676313, 5.488481466676313], [4.469574668860307, 5.469574668860307], [4.52539334125041, 5.52539334125041], [4.287951526032317, 5.287951526032318], [4.306272301305039, 5.306272301305039], [4.191888528568098, 5.191888528568098], [4.546314506003484, 5.546314506003484], [4.468365240399085, 5.468365240399085], [4.367905152838581, 5.367905152838581], [4.456013065298386, 5.456013065298386], [4.5769938518234765, 5.5769938518234765], [4.355869381199309, 5.355869381199309]], "meas_lo_range": [[6.666366149000001, 7.666366149000001], [6.790036566, 7.790036566], [6.66720936, 7.66720936], [6.789866161000001, 7.789866161000001], [6.730809514000001, 7.730809514000001], [6.725718035000001, 7.725718035000001], [6.84053597, 7.84053597], [6.608269204000001, 7.608269204000001], [6.611764947, 7.611764947], [6.837737400000001, 7.837737400000001], [6.670815005000001, 7.670815005000001], [6.735435442, 7.735435442000001], [6.834726981, 7.834726981], [6.723992816, 7.723992816000001], [6.785324461, 7.785324461], [6.783573103, 7.783573103], [6.663917049, 7.663917049], [6.8411595080000005, 7.8411595080000005], [6.614430141000001, 7.614430141000001], [6.611011042, 7.611011042], [6.833417041000001, 7.833417041000001], [6.7305351170000005, 7.7305351170000005], [6.727873898, 7.727873898], [6.772084477000001, 7.772084477000001], [6.665657706, 7.665657706], [6.789157489000001, 7.789157489000001], [6.6592788270000005, 7.6592788270000005]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.158684308046893, "delta1": -2.1530657984756614, "delta10": -2.179337968217314, "delta11": -2.1509694035052966, "delta12": -2.1830486136854597, "delta13": -2.1540627246004536, "delta14": -2.1445012142144435, "delta15": -2.149066552418238, "delta16": -2.159099516425758, "delta17": -2.1514877260680683, "delta18": -2.185141537139927, "delta19": -2.1727956284580405, "delta2": -2.161451126468108, "delta20": -2.209546956876913, "delta21": -2.151664356551376, "delta22": -2.168850638695307, "delta23": -2.1730168477635647, "delta24": -2.1655528488320694, "delta25": -2.148658601101429, "delta26": -2.1688030952712993, "delta3": -2.1709211542397715, "delta4": -2.161766358670777, "delta5": -2.1641239354790245, "delta6": -2.156367555640658, "delta7": -2.17184752769289, "delta8": -2.141181696936328, "delta9": -2.1439754867526406, "jq0q1": 0.012344036004184312, "jq10q12": 0.011681916379002354, "jq11q14": 0.012366057535308974, "jq12q13": 0.012224608841799052, "jq12q15": 0.011149014666899425, "jq13q14": 0.012860067005229741, "jq14q16": 0.012309040937075836, "jq15q18": 0.011650709504714885, "jq16q19": 0.011761170836224884, "jq17q18": 0.012084452094488898, "jq18q21": 0.012332712711424238, "jq19q20": 0.010869894641070596, "jq19q22": 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0.958346721287621, "omegad23": 0.9787556194329787, "omegad24": 0.9686913857135017, "omegad25": 0.9678238043064792, "omegad26": 1.008363131580873, "omegad3": 0.9738016296242488, "omegad4": 0.9782017273386752, "omegad5": 0.94157840020516, "omegad6": 1.0063864285733488, "omegad7": 1.024149623809381, "omegad8": 1.0125507576792812, "omegad9": 0.9979150241064154, "wq0": 30.994763583310316, "wq1": 31.879743924048118, "wq10": 29.699910966433634, "wq11": 31.762669511635455, "wq12": 30.722172765111928, "wq13": 31.521335912232125, "wq14": 32.46576437040741, "wq15": 31.343553456558283, "wq16": 31.224758542314945, "wq17": 31.575477604542712, "wq18": 30.08358667985434, "wq19": 30.198699505864038, "wq2": 31.452226757919195, "wq20": 29.48000506562353, "wq21": 31.706929159528308, "wq22": 31.217159479177305, "wq23": 30.58595013305917, "wq24": 31.139548474072885, "wq25": 31.899693174418363, "wq26": 30.51032714953473, "wq3": 30.770265391020754, "wq4": 30.914228224587397, "wq5": 31.370845530613224, "wq6": 31.45688983025136, "wq7": 30.33799705905509, "wq8": 32.69521206188502, "wq9": 31.971236131955813}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": 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"purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/belem/conf_belem.json b/qiskit/providers/fake_provider/backends/belem/conf_belem.json index 33e68f07fd77..22741731d532 100644 --- a/qiskit/providers/fake_provider/backends/belem/conf_belem.json +++ b/qiskit/providers/fake_provider/backends/belem/conf_belem.json @@ -1 +1 @@ -{"backend_name": "ibmq_belem", "backend_version": "1.0.3", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "u3", "id", "u1", "delay", "x", "u2", "acquire", "shiftf", "setf", "cx", "play", "measure", "rz", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Belem", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["d0", "m0", "u0", "u1"], ["u0", "u5", "u1", "u4", "u2", "d1", "m1", "u3"], ["d2", "m2", "u2", "u4"], ["u5", "m3", "u6", "d3", "u7", "u3"], ["m4", "u7", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.590167234445012, 5.590167234445013], [4.745306068285918, 5.745306068285918], [4.860982724462909, 5.860982724462909], [4.670821930361107, 5.670821930361107], [4.7582999816725895, 5.7582999816725895]], "meas_lo_range": [[6.801661824000001, 7.801661824000001], [6.8934280470000004, 7.8934280470000004], [6.860214726000001, 7.860214726000001], [6.8033823270000005, 7.8033823270000005], [6.926310916, 7.926310916]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1119231275656283, "delta1": -1.989081364755034, "delta2": -2.0773937776320905, "delta3": -2.096945401946966, "delta4": -2.0819029355928373, "jq0q1": 0.011772262300160973, "jq1q2": 0.012605700949390706, "jq1q3": 0.012591488659137172, "jq3q4": 0.01051661912410011, "omegad0": 0.7882729606342245, "omegad1": 0.7630469904461742, "omegad2": 1.9705506597899272, "omegad3": 0.7610530064318051, "omegad4": 0.6354995558882461, "wq0": 31.982463978551856, "wq1": 32.957230019914, "wq2": 33.68404788638894, "wq3": 32.4892323788869, "wq4": 33.0388731855879}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_belem", "backend_version": "1.0.3", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "u3", "id", "u1", "delay", "x", "u2", "acquire", "shiftf", "setf", "cx", "play", "measure", "rz", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Belem", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["d0", "m0", "u0", "u1"], ["u0", "u5", "u1", "u4", "u2", "d1", "m1", "u3"], ["d2", "m2", "u2", "u4"], ["u5", "m3", "u6", "d3", "u7", "u3"], ["m4", "u7", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.590167234445012, 5.590167234445013], [4.745306068285918, 5.745306068285918], [4.860982724462909, 5.860982724462909], [4.670821930361107, 5.670821930361107], [4.7582999816725895, 5.7582999816725895]], "meas_lo_range": [[6.801661824000001, 7.801661824000001], [6.8934280470000004, 7.8934280470000004], [6.860214726000001, 7.860214726000001], [6.8033823270000005, 7.8033823270000005], [6.926310916, 7.926310916]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1119231275656283, "delta1": -1.989081364755034, "delta2": -2.0773937776320905, "delta3": -2.096945401946966, "delta4": -2.0819029355928373, "jq0q1": 0.011772262300160973, "jq1q2": 0.012605700949390706, "jq1q3": 0.012591488659137172, "jq3q4": 0.01051661912410011, "omegad0": 0.7882729606342245, "omegad1": 0.7630469904461742, "omegad2": 1.9705506597899272, "omegad3": 0.7610530064318051, "omegad4": 0.6354995558882461, "wq0": 31.982463978551856, "wq1": 32.957230019914, "wq2": 33.68404788638894, "wq3": 32.4892323788869, "wq4": 33.0388731855879}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/boeblingen/conf_boeblingen.json b/qiskit/providers/fake_provider/backends/boeblingen/conf_boeblingen.json index 1fac8fe967d9..5c1c6269b73a 100644 --- a/qiskit/providers/fake_provider/backends/boeblingen/conf_boeblingen.json +++ b/qiskit/providers/fake_provider/backends/boeblingen/conf_boeblingen.json @@ -1 +1 @@ -{"backend_name": "ibmq_boeblingen", "backend_version": "1.2.9", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0, 0, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi, lambda) q { U(pi/2, phi, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta, phi, lambda) q { U(theta, phi, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "dynamic_reprate_enabled": true, "supported_instructions": ["u2", "x", "u3", "u1", "reset", "acquire", "id", "play", "delay", "setf", "cx", "measure", "shiftf"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "20 qubit device Boeblingen", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u2", "u12", "u3", "u1", "u0", "m1", "u4", "d1"], ["u2", "u6", "d2", "m2", "u5", "u4"], ["u9", "m3", "u6", "u7", "u8", "u5", "u18", "d3"], ["m4", "d4", "u9", "u7"], ["m5", "u10", "u11", "u23", "d5", "u13"], ["u15", "u12", "u10", "u3", "m6", "u14", "d6", "u13"], ["u15", "d7", "u17", "m7", "u28", "u19", "u14", "u16"], ["u8", "m8", "u20", "u18", "u19", "d8", "u21", "u16"], ["d9", "u34", "u22", "u20", "m9", "u21"], ["d10", "u11", "u24", "m10", "u23", "u25"], ["u37", "u29", "u24", "m11", "u27", "u25", "u26", "d11"], ["d12", "u17", "u31", "u30", "u29", "u28", "m12", "u26"], ["m13", "u35", "u31", "d13", "u30", "u33", "u32", "u42"], ["m14", "u35", "d14", "u32", "u34", "u22"], ["m15", "u38", "u36", "d15"], ["u36", "u38", "u37", "u39", "u40", "u27", "m16", "d16"], ["m17", "u39", "u40", "u41", "d17", "u43"], ["d18", "u33", "u42", "m18", "u45", "u41", "u44", "u43"], ["d19", "u45", "m19", "u44"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.546637180172682, 5.546637180172683], [4.346754355740163, 5.346754355740163], [4.203528286737779, 5.203528286737779], [4.274255688451355, 5.274255688451355], [3.8660878197588704, 4.866087819758871], [4.410301089304373, 5.410301089304373], [4.227761166981115, 5.227761166981115], [4.046065955005408, 5.046065955005408], [4.160895666525451, 5.160895666525451], [4.265289520404205, 5.265289520404206], [4.455347971719672, 5.455347971719672], [4.0219698392316, 5.0219698392316], [4.236743058644201, 5.236743058644201], [4.135845753972898, 5.135845753972899], [4.0550706568826005, 5.055070656882601], [4.082581197982431, 5.082581197982431], [4.255461934654762, 5.255461934654762], [4.089802596327764, 5.089802596327764], [4.251816920066117, 5.251816920066117], [4.535002664360889, 5.535002664360889]], "meas_lo_range": [[6.794712006, 7.794712006], [6.579713403, 7.579713403], [6.726848078000001, 7.726848078000001], [6.637469923, 7.637469923], [6.690658781000001, 7.690658781000001], [6.5083555, 7.5083555], [6.651377353, 7.651377353000001], [6.540531036, 7.540531036000001], [6.813978215000001, 7.813978215000001], [6.599174120000001, 7.599174120000001], [6.758808909000001, 7.758808909000001], [6.577617339000001, 7.577617339000001], [6.707348522, 7.707348522], [6.6428331300000005, 7.6428331300000005], [6.692647377, 7.692647377], [6.481808180000001, 7.481808180000001], [6.653627322, 7.653627322], [6.535653327, 7.535653327], [6.794454291, 7.794454291], [6.60754991, 7.60754991]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [500.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", 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file +{"backend_name": "ibmq_boeblingen", "backend_version": "1.2.9", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0, 0, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi, lambda) q { U(pi/2, phi, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta, phi, lambda) q { U(theta, phi, lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], 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[4.082581197982431, 5.082581197982431], [4.255461934654762, 5.255461934654762], [4.089802596327764, 5.089802596327764], [4.251816920066117, 5.251816920066117], [4.535002664360889, 5.535002664360889]], "meas_lo_range": [[6.794712006, 7.794712006], [6.579713403, 7.579713403], [6.726848078000001, 7.726848078000001], [6.637469923, 7.637469923], [6.690658781000001, 7.690658781000001], [6.5083555, 7.5083555], [6.651377353, 7.651377353000001], [6.540531036, 7.540531036000001], [6.813978215000001, 7.813978215000001], [6.599174120000001, 7.599174120000001], [6.758808909000001, 7.758808909000001], [6.577617339000001, 7.577617339000001], [6.707348522, 7.707348522], [6.6428331300000005, 7.6428331300000005], [6.692647377, 7.692647377], [6.481808180000001, 7.481808180000001], [6.653627322, 7.653627322], [6.535653327, 7.535653327], [6.794454291, 7.794454291], [6.60754991, 7.60754991]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [500.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": -1.9120815814441923, "delta1": -1.9055399185480628, "delta10": -1.9115781192244257, "delta11": -1.9464260200753916, "delta12": -1.8922131171612782, "delta13": -1.946978468850499, "delta14": -1.9661987054400865, "delta15": -1.9621820481294971, "delta16": -1.920410282948464, "delta17": -1.9499227858456083, "delta18": -1.9245211497429449, "delta19": -2.1384226515652727, "delta2": -1.9300932337631258, "delta3": -1.9231169841147684, "delta4": -1.9830663203041508, "delta5": -1.9155796531357656, "delta6": -1.9215695175199154, "delta7": -1.9472212767387296, "delta8": -1.9390704918383217, "delta9": -2.0943093444584795, "jq0q1": 0.019903189263342284, "jq10q11": 0.01752513201141761, "jq11q12": 0.01700054776334538, "jq11q16": 0.006904481313363552, "jq12q13": 0.011148033737301017, "jq13q14": 0.010554167813996271, "jq13q18": 0.008363154992996426, "jq15q16": 0.012723868976313222, "jq16q17": 0.011956236091163601, "jq17q18": 0.010868155809158326, "jq18q19": 0.01801870700699937, "jq1q2": 0.019947163911205604, "jq1q6": 0.009052234243208763, "jq2q3": 0.012029788826463179, "jq3q4": 0.01179627158794049, "jq3q8": 0.008643541266214517, "jq5q10": 0.012114045302143833, "jq5q6": 0.015925324108927295, "jq6q7": 0.011756421396655623, "jq7q12": 0.008135156742732387, "jq7q8": 0.00985488532661385, "jq8q9": 0.016845362241161135, "jq9q14": 0.0010288553599676886, "omegad0": 1.1361057323541048, "omegad1": 1.104300527622205, "omegad10": 0.8027709204707166, "omegad11": 1.1445846845449517, "omegad12": 1.0141182609969113, "omegad13": 1.1481215997177983, "omegad14": 0.992029375260453, "omegad15": 0.9812244796400139, "omegad16": 0.971821050072977, "omegad17": 1.019799830689423, "omegad18": 1.2399546943618271, "omegad19": 1.0675870058296812, "omegad2": 1.0278831925880638, "omegad3": 2.5704782282868677, "omegad4": 2.1008077428991396, "omegad5": 0.988516611818244, "omegad6": 1.468223098857124, "omegad7": 1.0005230755375738, "omegad8": 0.7794628967164087, "omegad9": 0.7886709545097665, "wq0": 31.70893413614482, "wq1": 30.453102005245505, "wq10": 31.135376692330862, "wq11": 28.412350154213595, "wq12": 29.76183580471852, "wq13": 29.12786703997714, "wq14": 28.620367496653547, "wq15": 28.793163769484597, "wq16": 29.87944238606182, "wq17": 28.83852255558283, "wq18": 29.85667405824568, "wq19": 31.636012354096117, "wq2": 29.553092735964402, "wq3": 29.99757517095849, "wq4": 27.433004914991123, "wq5": 30.852301360780995, "wq6": 29.705326569837858, "wq7": 28.56374272963048, "wq8": 29.28527655837099, "wq9": 29.94112352653628}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 10]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 1]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [7, 12]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 3]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [9, 14]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [10, 5]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [10, 11]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [11, 10]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [11, 12]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [11, 16]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [12, 7]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [12, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 6]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [13, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [14, 9]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [15, 16]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [16, 11]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [16, 15]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [16, 17]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [17, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [18, 13]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [3, 8]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/bogota/conf_bogota.json b/qiskit/providers/fake_provider/backends/bogota/conf_bogota.json index 7cd895a215a0..096099ad9c72 100644 --- a/qiskit/providers/fake_provider/backends/bogota/conf_bogota.json +++ b/qiskit/providers/fake_provider/backends/bogota/conf_bogota.json @@ -1 +1 @@ -{"backend_name": "ibmq_bogota", "backend_version": "1.4.10", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "acquire", "u3", "shiftf", "reset", "id", "rz", "setf", "x", "cx", "u2", "u1", "measure", "play", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "d0", "m0", "u0"], ["u3", "d1", "u2", "u1", "m1", "u0"], ["u3", "u2", "u5", "u4", "m2", "d2"], ["d3", "m3", "u5", "u7", "u6", "u4"], ["u7", "u6", "m4", "d4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.5004340989542815, 5.5004340989542815], [4.343750482127818, 5.343750482127818], [4.282932840283448, 5.282932840283449], [4.358064136217208, 5.358064136217208], [4.478325144043873, 5.478325144043874]], "meas_lo_range": [[6.772076418, 7.772076418], [6.888266274, 7.888266274], [6.834793510000001, 7.834793510000001], [6.703996181000001, 7.703996181000001], [6.949439617, 7.949439617]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1167573773588284, "delta1": -2.0464791376261835, "delta2": -2.154331420222022, "delta3": -2.0438202069557505, "delta4": -2.1234804829386533, "jq0q1": 0.008308293226045198, "jq1q2": 0.00742380429123757, "jq2q3": 0.008306892304618858, "jq3q4": 0.008809523135217767, "omegad0": 0.9981248640302739, "omegad1": 1.0555058017624004, "omegad2": 0.9937584605648611, "omegad3": 1.0030336139434828, "omegad4": 1.0284195880983287, "wq0": 31.418654060069333, "wq1": 30.43418186094954, "wq2": 30.05205334729569, "wq3": 30.524117202016054, "wq4": 31.27973939941916}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_bogota", "backend_version": "1.4.10", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "acquire", "u3", "shiftf", "reset", "id", "rz", "setf", "x", "cx", "u2", "u1", "measure", "play", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "d0", "m0", "u0"], ["u3", "d1", "u2", "u1", "m1", "u0"], ["u3", "u2", "u5", "u4", "m2", "d2"], ["d3", "m3", "u5", "u7", "u6", "u4"], ["u7", "u6", "m4", "d4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.5004340989542815, 5.5004340989542815], [4.343750482127818, 5.343750482127818], [4.282932840283448, 5.282932840283449], [4.358064136217208, 5.358064136217208], [4.478325144043873, 5.478325144043874]], "meas_lo_range": [[6.772076418, 7.772076418], [6.888266274, 7.888266274], [6.834793510000001, 7.834793510000001], [6.703996181000001, 7.703996181000001], [6.949439617, 7.949439617]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1167573773588284, "delta1": -2.0464791376261835, "delta2": -2.154331420222022, "delta3": -2.0438202069557505, "delta4": -2.1234804829386533, "jq0q1": 0.008308293226045198, "jq1q2": 0.00742380429123757, "jq2q3": 0.008306892304618858, "jq3q4": 0.008809523135217767, "omegad0": 0.9981248640302739, "omegad1": 1.0555058017624004, "omegad2": 0.9937584605648611, "omegad3": 1.0030336139434828, "omegad4": 1.0284195880983287, "wq0": 31.418654060069333, "wq1": 30.43418186094954, "wq2": 30.05205334729569, "wq3": 30.524117202016054, "wq4": 31.27973939941916}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/brooklyn/conf_brooklyn.json b/qiskit/providers/fake_provider/backends/brooklyn/conf_brooklyn.json index e6f45e223d2b..1b7dbe91a37c 100644 --- a/qiskit/providers/fake_provider/backends/brooklyn/conf_brooklyn.json +++ b/qiskit/providers/fake_provider/backends/brooklyn/conf_brooklyn.json @@ -1 +1 @@ -{"backend_name": "ibmq_brooklyn", "backend_version": "1.2.10", "n_qubits": 65, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], 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5.510066458249653], [4.632561437792334, 5.632561437792334], [4.4746203712039065, 5.4746203712039065], [4.664467965285174, 5.664467965285174], [4.805079403561122, 5.805079403561122], [4.564719110048492, 5.564719110048493], [4.585356203029057, 5.585356203029057], [4.517044876259954, 5.517044876259954], [4.75620316623796, 5.75620316623796], [4.703302718919652, 5.703302718919652], [4.572513616156375, 5.572513616156375], [4.796150018538558, 5.796150018538558], [4.721193914885772, 5.721193914885772], [4.7758671241539465, 5.7758671241539465], [4.577495737322888, 5.577495737322888], [4.439621830143181, 5.439621830143182], [4.616709606022713, 5.616709606022713], [4.534055943352896, 5.534055943352896], [4.369252064428774, 5.369252064428774], [4.799257098475583, 5.799257098475583], [4.658526603488212, 5.658526603488212], [4.593014744932189, 5.593014744932189], [4.815061897316513, 5.815061897316513], [4.769463415258938, 5.769463415258938], [4.709983518804732, 5.709983518804732], [4.583196886383653, 5.583196886383653], [4.6947322843447, 5.6947322843447], [4.901220966833777, 5.901220966833777], [4.757751350571973, 5.757751350571973], [4.554292744378357, 5.554292744378357], [4.313787702693858, 5.313787702693858], [4.565636175367899, 5.565636175367899], [4.687190850205208, 5.687190850205208], [4.5963261151227375, 5.5963261151227375], [4.806609370744914, 5.806609370744914], [4.4303701474555055, 5.4303701474555055], [4.714297831859324, 5.714297831859324], [4.78625822200757, 5.78625822200757], [4.612834088251975, 5.612834088251976], [4.791151288923786, 5.791151288923786], [4.570497959487711, 5.570497959487711], [4.632634830376539, 5.632634830376539], [4.7627417682870155, 5.7627417682870155], [4.814526695392821, 5.814526695392821], [4.651080344098669, 5.651080344098669], [4.558497496591304, 5.558497496591304], [4.746194384540644, 5.746194384540644], [4.530925015117308, 5.530925015117308], [4.553160798760874, 5.553160798760874], [4.645245610457142, 5.645245610457142], [4.701388981528624, 5.701388981528624], [4.743472128741616, 5.743472128741616], [4.513664296060377, 5.513664296060377], [4.66493148475797, 5.66493148475797], [4.503427984680429, 5.503427984680429], [4.618260208209517, 5.618260208209517], [4.75969595943334, 5.75969595943334], [4.498423938375725, 5.498423938375725], [4.585726302907684, 5.585726302907684], [4.864853796692681, 5.864853796692681]], "meas_lo_range": [[6.953864062, 7.953864062], [6.876290686000001, 7.876290686000001], [6.640430341, 7.640430341], [6.469419714000001, 7.469419714000001], [6.54226546, 7.54226546], [6.366024067000001, 7.366024067000001], [6.298943138, 7.298943138], [6.356386181, 7.356386181], [6.527698913, 7.527698913], [6.683725385000001, 7.683725385000001], [6.701747374, 7.701747374000001], [6.4824545670000004, 7.4824545670000004], [6.478046376, 7.478046376000001], [6.659396785, 7.659396785], [6.889564309000001, 7.889564309000001], [6.957301844000001, 7.957301844000001], [6.708200864, 7.708200864], [6.5485397480000005, 7.5485397480000005], [6.313219374, 7.313219374000001], [6.370548093, 7.370548093], [6.302404800000001, 7.302404800000001], [6.533734427000001, 7.533734427000001], [6.684082058, 7.684082058], [6.635622121000001, 7.635622121000001], [6.890467631000001, 7.890467631000001], [6.367464105000001, 7.367464105000001], [6.933213525, 7.933213525], [6.699716111000001, 7.699716111000001], [6.548250061, 7.548250061], [6.662005442000001, 7.662005442000001], [6.485675168, 7.485675168], [6.306907263, 7.306907263], [6.3743541850000005, 7.3743541850000005], [6.310238158000001, 7.310238158000001], [6.469811562, 7.469811562], [6.651290587, 7.651290587], [6.943065508, 7.943065508], [6.869877763000001, 7.869877763000001], [6.9499622290000005, 7.9499622290000005], [6.369524527, 7.369524527], [6.877691198000001, 7.877691198000001], [6.896759924, 7.896759924], [6.955087316, 7.955087316], [6.657638779, 7.657638779000001], [6.483768713000001, 7.483768713000001], [6.313806990000001, 7.313806990000001], [6.38950039, 7.38950039], [6.322229945, 7.322229945], [6.539713756, 7.539713756], [6.690889898, 7.690889898000001], [6.933837347000001, 7.933837347000001], [6.656642295, 7.656642295], [6.711437227, 7.711437227], [6.489187363, 7.489187363], [6.893880213, 7.893880213], [6.73107693, 7.73107693], [6.547381811, 7.547381811], [6.368433056000001, 7.368433056000001], [6.3279072990000005, 7.3279072990000005], [6.493254214, 7.493254214], [6.563733481000001, 7.563733481000001], [6.717509526000001, 7.717509526000001], [6.669494999, 7.669494999], [6.897099711, 7.897099711], [6.948487697, 7.948487697000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{64}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) \\\\ & + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) \\\\ & + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) \\\\ & + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) \\\\ & + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{3}^{(1,2)}(t)+U_{2}^{(1,0)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{12}^{(5,6)}(t)+U_{11}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{16}^{(7,8)}(t)+U_{15}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t)+U_{19}^{(8,12)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{22}^{(10,13)}(t)+U_{21}^{(10,0)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{32}^{(15,16)}(t)+U_{31}^{(15,14)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,11)}(t)+U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{39}^{(18,17)}(t)+U_{40}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{43}^{(19,25)}(t)+U_{41}^{(19,18)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{48}^{(21,22)}(t)+U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{51}^{(23,22)}(t)+U_{52}^{(23,26)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{54}^{(24,29)}(t)+U_{53}^{(24,15)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{60}^{(27,38)}(t)+U_{59}^{(27,28)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{61}^{(28,27)}(t)+U_{62}^{(28,29)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t)+U_{63}^{(29,24)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{68}^{(31,30)}(t)+U_{70}^{(31,39)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{73}^{(33,25)}(t)+U_{75}^{(33,34)}(t)+U_{74}^{(33,32)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{77}^{(34,35)}(t)+U_{76}^{(34,33)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{80}^{(35,40)}(t)+U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{90}^{(40,49)}(t)+U_{89}^{(40,35)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{91}^{(41,38)}(t)+U_{92}^{(41,42)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{96}^{(43,44)}(t)+U_{95}^{(43,42)}(t)+U_{97}^{(43,52)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{99}^{(44,45)}(t)+U_{98}^{(44,43)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{102}^{(45,46)}(t)+U_{100}^{(45,39)}(t)+U_{101}^{(45,44)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{104}^{(46,47)}(t)+U_{103}^{(46,45)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{107}^{(47,53)}(t)+U_{105}^{(47,46)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{108}^{(48,47)}(t)+U_{109}^{(48,49)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{110}^{(49,40)}(t)+U_{111}^{(49,48)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{113}^{(50,49)}(t)+U_{114}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{120}^{(53,60)}(t)+U_{119}^{(53,47)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{125}^{(56,55)}(t)+U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{128}^{(57,58)}(t)+U_{127}^{(57,56)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{132}^{(59,60)}(t)+U_{131}^{(59,58)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t)+U_{134}^{(60,59)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{141}^{(63,64)}(t)+U_{140}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad10*X0||U1", "omegad2*X1||U3", "omegad0*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad6*X5||U12", "omegad4*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad8*X7||U16", "omegad6*X7||U15", "omegad9*X8||U18", "omegad7*X8||U17", "omegad12*X8||U19", "omegad8*X9||U20", "omegad13*X10||U22", "omegad0*X10||U21", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad16*X15||U32", "omegad14*X15||U31", "omegad15*X16||U34", "omegad17*X16||U35", "omegad11*X17||U36", "omegad18*X17||U38", "omegad16*X17||U37", "omegad17*X18||U39", "omegad19*X18||U40", "omegad25*X19||U43", "omegad18*X19||U41", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad22*X21||U48", "omegad20*X21||U47", "omegad12*X21||U46", "omegad23*X22||U50", "omegad21*X22||U49", "omegad22*X23||U51", "omegad26*X23||U52", "omegad29*X24||U54", "omegad15*X24||U53", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad38*X27||U60", "omegad28*X27||U59", "omegad27*X28||U61", "omegad29*X28||U62", "omegad30*X29||U65", "omegad28*X29||U64", "omegad24*X29||U63", "omegad31*X30||U67", "omegad29*X30||U66", "omegad30*X31||U68", "omegad39*X31||U70", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad25*X33||U73", "omegad34*X33||U75", "omegad32*X33||U74", "omegad35*X34||U77", "omegad33*X34||U76", "omegad40*X35||U80", "omegad36*X35||U79", "omegad34*X35||U78", "omegad37*X36||U82", "omegad35*X36||U81", "omegad26*X37||U83", "omegad36*X37||U84", "omegad41*X38||U86", "omegad27*X38||U85", "omegad45*X39||U88", "omegad31*X39||U87", "omegad49*X40||U90", "omegad35*X40||U89", "omegad38*X41||U91", "omegad42*X41||U92", "omegad43*X42||U94", "omegad41*X42||U93", "omegad44*X43||U96", "omegad42*X43||U95", "omegad52*X43||U97", "omegad45*X44||U99", "omegad43*X44||U98", "omegad46*X45||U102", "omegad39*X45||U100", "omegad44*X45||U101", "omegad47*X46||U104", "omegad45*X46||U103", "omegad48*X47||U106", "omegad53*X47||U107", "omegad46*X47||U105", "omegad47*X48||U108", "omegad49*X48||U109", "omegad40*X49||U110", "omegad48*X49||U111", "omegad50*X49||U112", "omegad49*X50||U113", "omegad51*X50||U114", "omegad50*X51||U115", "omegad54*X51||U116", "omegad56*X52||U118", "omegad43*X52||U117", "omegad60*X53||U120", "omegad47*X53||U119", "omegad64*X54||U122", "omegad51*X54||U121", "omegad56*X55||U123", "omegad55*X56||U125", "omegad57*X56||U126", "omegad52*X56||U124", "omegad58*X57||U128", "omegad56*X57||U127", "omegad59*X58||U130", "omegad57*X58||U129", "omegad60*X59||U132", "omegad58*X59||U131", "omegad61*X60||U135", "omegad53*X60||U133", "omegad59*X60||U134", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad61*X62||U138", "omegad64*X63||U141", "omegad62*X63||U140", "omegad63*X64||U143", "omegad54*X64||U142"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3}, "vars": {"delta0": -2.0964983714810566, "delta1": 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{"operates": {"qubits": [39, 31]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [39, 45]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [40, 35]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [40, 49]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [41, 38]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": 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[4.75620316623796, 5.75620316623796], [4.703302718919652, 5.703302718919652], [4.572513616156375, 5.572513616156375], [4.796150018538558, 5.796150018538558], [4.721193914885772, 5.721193914885772], [4.7758671241539465, 5.7758671241539465], [4.577495737322888, 5.577495737322888], [4.439621830143181, 5.439621830143182], [4.616709606022713, 5.616709606022713], [4.534055943352896, 5.534055943352896], [4.369252064428774, 5.369252064428774], [4.799257098475583, 5.799257098475583], [4.658526603488212, 5.658526603488212], [4.593014744932189, 5.593014744932189], [4.815061897316513, 5.815061897316513], [4.769463415258938, 5.769463415258938], [4.709983518804732, 5.709983518804732], [4.583196886383653, 5.583196886383653], [4.6947322843447, 5.6947322843447], [4.901220966833777, 5.901220966833777], [4.757751350571973, 5.757751350571973], [4.554292744378357, 5.554292744378357], [4.313787702693858, 5.313787702693858], [4.565636175367899, 5.565636175367899], [4.687190850205208, 5.687190850205208], [4.5963261151227375, 5.5963261151227375], [4.806609370744914, 5.806609370744914], [4.4303701474555055, 5.4303701474555055], [4.714297831859324, 5.714297831859324], [4.78625822200757, 5.78625822200757], [4.612834088251975, 5.612834088251976], [4.791151288923786, 5.791151288923786], [4.570497959487711, 5.570497959487711], [4.632634830376539, 5.632634830376539], [4.7627417682870155, 5.7627417682870155], [4.814526695392821, 5.814526695392821], [4.651080344098669, 5.651080344098669], [4.558497496591304, 5.558497496591304], [4.746194384540644, 5.746194384540644], [4.530925015117308, 5.530925015117308], [4.553160798760874, 5.553160798760874], [4.645245610457142, 5.645245610457142], [4.701388981528624, 5.701388981528624], [4.743472128741616, 5.743472128741616], [4.513664296060377, 5.513664296060377], [4.66493148475797, 5.66493148475797], [4.503427984680429, 5.503427984680429], [4.618260208209517, 5.618260208209517], [4.75969595943334, 5.75969595943334], [4.498423938375725, 5.498423938375725], [4.585726302907684, 5.585726302907684], [4.864853796692681, 5.864853796692681]], "meas_lo_range": [[6.953864062, 7.953864062], [6.876290686000001, 7.876290686000001], [6.640430341, 7.640430341], [6.469419714000001, 7.469419714000001], [6.54226546, 7.54226546], [6.366024067000001, 7.366024067000001], [6.298943138, 7.298943138], [6.356386181, 7.356386181], [6.527698913, 7.527698913], [6.683725385000001, 7.683725385000001], [6.701747374, 7.701747374000001], [6.4824545670000004, 7.4824545670000004], [6.478046376, 7.478046376000001], [6.659396785, 7.659396785], [6.889564309000001, 7.889564309000001], [6.957301844000001, 7.957301844000001], [6.708200864, 7.708200864], [6.5485397480000005, 7.5485397480000005], [6.313219374, 7.313219374000001], [6.370548093, 7.370548093], [6.302404800000001, 7.302404800000001], [6.533734427000001, 7.533734427000001], [6.684082058, 7.684082058], [6.635622121000001, 7.635622121000001], [6.890467631000001, 7.890467631000001], [6.367464105000001, 7.367464105000001], [6.933213525, 7.933213525], [6.699716111000001, 7.699716111000001], [6.548250061, 7.548250061], [6.662005442000001, 7.662005442000001], [6.485675168, 7.485675168], [6.306907263, 7.306907263], [6.3743541850000005, 7.3743541850000005], [6.310238158000001, 7.310238158000001], [6.469811562, 7.469811562], [6.651290587, 7.651290587], [6.943065508, 7.943065508], [6.869877763000001, 7.869877763000001], [6.9499622290000005, 7.9499622290000005], [6.369524527, 7.369524527], [6.877691198000001, 7.877691198000001], [6.896759924, 7.896759924], [6.955087316, 7.955087316], [6.657638779, 7.657638779000001], [6.483768713000001, 7.483768713000001], [6.313806990000001, 7.313806990000001], [6.38950039, 7.38950039], [6.322229945, 7.322229945], [6.539713756, 7.539713756], [6.690889898, 7.690889898000001], [6.933837347000001, 7.933837347000001], [6.656642295, 7.656642295], [6.711437227, 7.711437227], [6.489187363, 7.489187363], [6.893880213, 7.893880213], [6.73107693, 7.73107693], [6.547381811, 7.547381811], [6.368433056000001, 7.368433056000001], [6.3279072990000005, 7.3279072990000005], [6.493254214, 7.493254214], [6.563733481000001, 7.563733481000001], [6.717509526000001, 7.717509526000001], [6.669494999, 7.669494999], [6.897099711, 7.897099711], [6.948487697, 7.948487697000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{64}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) \\\\ & + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) \\\\ & + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) \\\\ & + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) \\\\ & + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{3}^{(1,2)}(t)+U_{2}^{(1,0)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{12}^{(5,6)}(t)+U_{11}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{16}^{(7,8)}(t)+U_{15}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t)+U_{19}^{(8,12)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{22}^{(10,13)}(t)+U_{21}^{(10,0)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{32}^{(15,16)}(t)+U_{31}^{(15,14)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,11)}(t)+U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{39}^{(18,17)}(t)+U_{40}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{43}^{(19,25)}(t)+U_{41}^{(19,18)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{48}^{(21,22)}(t)+U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{51}^{(23,22)}(t)+U_{52}^{(23,26)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{54}^{(24,29)}(t)+U_{53}^{(24,15)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{60}^{(27,38)}(t)+U_{59}^{(27,28)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{61}^{(28,27)}(t)+U_{62}^{(28,29)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t)+U_{63}^{(29,24)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{68}^{(31,30)}(t)+U_{70}^{(31,39)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{73}^{(33,25)}(t)+U_{75}^{(33,34)}(t)+U_{74}^{(33,32)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{77}^{(34,35)}(t)+U_{76}^{(34,33)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{80}^{(35,40)}(t)+U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{90}^{(40,49)}(t)+U_{89}^{(40,35)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{91}^{(41,38)}(t)+U_{92}^{(41,42)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{96}^{(43,44)}(t)+U_{95}^{(43,42)}(t)+U_{97}^{(43,52)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{99}^{(44,45)}(t)+U_{98}^{(44,43)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{102}^{(45,46)}(t)+U_{100}^{(45,39)}(t)+U_{101}^{(45,44)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{104}^{(46,47)}(t)+U_{103}^{(46,45)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{107}^{(47,53)}(t)+U_{105}^{(47,46)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{108}^{(48,47)}(t)+U_{109}^{(48,49)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{110}^{(49,40)}(t)+U_{111}^{(49,48)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{113}^{(50,49)}(t)+U_{114}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{120}^{(53,60)}(t)+U_{119}^{(53,47)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{125}^{(56,55)}(t)+U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{128}^{(57,58)}(t)+U_{127}^{(57,56)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{132}^{(59,60)}(t)+U_{131}^{(59,58)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t)+U_{134}^{(60,59)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{141}^{(63,64)}(t)+U_{140}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad10*X0||U1", "omegad2*X1||U3", "omegad0*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad6*X5||U12", "omegad4*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad8*X7||U16", "omegad6*X7||U15", "omegad9*X8||U18", "omegad7*X8||U17", "omegad12*X8||U19", "omegad8*X9||U20", "omegad13*X10||U22", "omegad0*X10||U21", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad16*X15||U32", "omegad14*X15||U31", "omegad15*X16||U34", "omegad17*X16||U35", "omegad11*X17||U36", "omegad18*X17||U38", "omegad16*X17||U37", "omegad17*X18||U39", "omegad19*X18||U40", "omegad25*X19||U43", "omegad18*X19||U41", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad22*X21||U48", "omegad20*X21||U47", "omegad12*X21||U46", "omegad23*X22||U50", "omegad21*X22||U49", "omegad22*X23||U51", "omegad26*X23||U52", "omegad29*X24||U54", "omegad15*X24||U53", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad38*X27||U60", "omegad28*X27||U59", "omegad27*X28||U61", "omegad29*X28||U62", "omegad30*X29||U65", "omegad28*X29||U64", "omegad24*X29||U63", "omegad31*X30||U67", "omegad29*X30||U66", "omegad30*X31||U68", "omegad39*X31||U70", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad25*X33||U73", "omegad34*X33||U75", "omegad32*X33||U74", "omegad35*X34||U77", "omegad33*X34||U76", "omegad40*X35||U80", "omegad36*X35||U79", "omegad34*X35||U78", "omegad37*X36||U82", "omegad35*X36||U81", "omegad26*X37||U83", "omegad36*X37||U84", "omegad41*X38||U86", "omegad27*X38||U85", "omegad45*X39||U88", "omegad31*X39||U87", "omegad49*X40||U90", "omegad35*X40||U89", "omegad38*X41||U91", "omegad42*X41||U92", "omegad43*X42||U94", "omegad41*X42||U93", "omegad44*X43||U96", "omegad42*X43||U95", "omegad52*X43||U97", "omegad45*X44||U99", "omegad43*X44||U98", "omegad46*X45||U102", "omegad39*X45||U100", "omegad44*X45||U101", "omegad47*X46||U104", "omegad45*X46||U103", "omegad48*X47||U106", "omegad53*X47||U107", "omegad46*X47||U105", "omegad47*X48||U108", "omegad49*X48||U109", "omegad40*X49||U110", "omegad48*X49||U111", "omegad50*X49||U112", "omegad49*X50||U113", "omegad51*X50||U114", "omegad50*X51||U115", "omegad54*X51||U116", "omegad56*X52||U118", "omegad43*X52||U117", "omegad60*X53||U120", "omegad47*X53||U119", "omegad64*X54||U122", "omegad51*X54||U121", "omegad56*X55||U123", "omegad55*X56||U125", "omegad57*X56||U126", "omegad52*X56||U124", "omegad58*X57||U128", "omegad56*X57||U127", "omegad59*X58||U130", "omegad57*X58||U129", "omegad60*X59||U132", "omegad58*X59||U131", "omegad61*X60||U135", "omegad53*X60||U133", "omegad59*X60||U134", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad61*X62||U138", "omegad64*X63||U141", "omegad62*X63||U140", "omegad63*X64||U143", "omegad54*X64||U142"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3}, "vars": {"delta0": -2.0964983714810566, "delta1": 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[56]}, "purpose": "measure", "type": "measure"}, "m57": {"operates": {"qubits": [57]}, "purpose": "measure", "type": "measure"}, "m58": {"operates": {"qubits": [58]}, "purpose": "measure", "type": "measure"}, "m59": {"operates": {"qubits": [59]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m60": {"operates": {"qubits": [60]}, "purpose": "measure", "type": "measure"}, "m61": {"operates": {"qubits": [61]}, "purpose": "measure", "type": "measure"}, "m62": {"operates": {"qubits": [62]}, "purpose": "measure", "type": "measure"}, "m63": {"operates": {"qubits": [63]}, "purpose": "measure", "type": "measure"}, "m64": {"operates": {"qubits": [64]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [0, 10]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [4, 11]}, "purpose": "cross-resonance", "type": "control"}, "u100": {"operates": {"qubits": [45, 39]}, "purpose": "cross-resonance", "type": "control"}, "u101": {"operates": {"qubits": [45, 44]}, "purpose": "cross-resonance", "type": "control"}, "u102": {"operates": {"qubits": [45, 46]}, "purpose": "cross-resonance", "type": "control"}, "u103": {"operates": {"qubits": [46, 45]}, "purpose": "cross-resonance", "type": "control"}, "u104": {"operates": {"qubits": [46, 47]}, "purpose": "cross-resonance", "type": "control"}, "u105": {"operates": {"qubits": [47, 46]}, "purpose": "cross-resonance", "type": "control"}, "u106": {"operates": {"qubits": [47, 48]}, "purpose": "cross-resonance", "type": "control"}, "u107": {"operates": {"qubits": [47, 53]}, "purpose": "cross-resonance", "type": "control"}, "u108": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u109": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u110": {"operates": {"qubits": [49, 40]}, "purpose": "cross-resonance", "type": "control"}, "u111": {"operates": {"qubits": [49, 48]}, "purpose": "cross-resonance", "type": "control"}, "u112": {"operates": {"qubits": [49, 50]}, "purpose": "cross-resonance", "type": "control"}, "u113": {"operates": {"qubits": [50, 49]}, "purpose": "cross-resonance", "type": "control"}, "u114": {"operates": {"qubits": [50, 51]}, "purpose": "cross-resonance", "type": "control"}, "u115": {"operates": {"qubits": [51, 50]}, "purpose": "cross-resonance", "type": "control"}, "u116": {"operates": {"qubits": [51, 54]}, "purpose": "cross-resonance", "type": "control"}, "u117": {"operates": {"qubits": [52, 43]}, "purpose": "cross-resonance", "type": "control"}, "u118": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [53, 47]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [54, 51]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [55, 56]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [56, 52]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [56, 55]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [58, 57]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [60, 59]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [8, 12]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 0]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [10, 13]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 4]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [11, 17]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 8]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 21]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 10]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 15]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 14]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 16]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 24]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 15]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 17]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 11]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [17, 16]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [19, 25]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [20, 21]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [21, 12]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [22, 21]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [23, 26]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [24, 15]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [24, 29]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [25, 19]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [25, 33]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [26, 23]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [26, 37]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [27, 38]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [29, 24]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [31, 39]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [32, 31]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [32, 33]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [33, 25]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [33, 32]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [33, 34]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [34, 33]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [34, 35]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [35, 34]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [35, 36]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [35, 40]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [36, 35]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [36, 37]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [37, 26]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [37, 36]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [38, 27]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [38, 41]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [39, 31]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [39, 45]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [40, 35]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [40, 49]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [41, 38]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [43, 52]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [44, 43]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/burlington/conf_burlington.json b/qiskit/providers/fake_provider/backends/burlington/conf_burlington.json index 09deb0c4accd..28205beba516 100644 --- a/qiskit/providers/fake_provider/backends/burlington/conf_burlington.json +++ b/qiskit/providers/fake_provider/backends/burlington/conf_burlington.json @@ -1 +1 @@ -{"backend_name": "ibmq_burlington", "backend_version": "1.1.4", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "5 qubit device Burlington", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_burlington", "backend_version": "1.1.4", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "5 qubit device Burlington", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/cairo/conf_cairo.json b/qiskit/providers/fake_provider/backends/cairo/conf_cairo.json index 8df3070cd70e..920cb51322b2 100644 --- a/qiskit/providers/fake_provider/backends/cairo/conf_cairo.json +++ b/qiskit/providers/fake_provider/backends/cairo/conf_cairo.json @@ -1 +1 @@ -{"backend_name": "ibm_cairo", "backend_version": "1.0.17", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["acquire", "measure", "delay", "x", "play", "cx", "u1", "rz", "sx", "setf", "u3", "id", "shiftf", "u2", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2440, "measure_esp_enabled": true, "multi_meas_enabled": true, "quantum_volume": 64, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u0", "d1", "u1", "m1", "u4", "u3", "u2", "u8"], ["d2", "u4", "m2", "u6", "u5", "u2"], ["d3", "u10", "m3", "u6", "u5", "u7"], ["u13", "u9", "m4", "u3", "d4", "u8"], ["m5", "u10", "u11", "u16", "d5", "u7"], ["u12", "m6", "d6", "u14"], ["u13", "u9", "u15", "u20", "d7", "u14", "u12", "m7"], ["d8", "u22", "u17", "u19", "u11", "u16", "u18", "m8"], ["d9", "m9", "u17", "u19"], ["u21", "u15", "u20", "d10", "u24", "m10"], ["u22", "m11", "u23", "d11", "u29", "u18"], ["u21", "u32", "m12", "d12", "u26", "u27", "u24", "u25"], ["u28", "d13", "u30", "m13", "u27", "u25"], ["u34", "u28", "u30", "u31", "u29", "d14", "m14", "u23"], ["u37", "u33", "u32", "d15", "m15", "u26"], ["u34", "d16", "m16", "u40", "u31", "u35"], ["u38", "u36", "d17", "m17"], ["u38", "u44", "u37", "u33", "u36", "d18", "u39", "m18"], ["u41", "u42", "d19", "u46", "m19", "u40", "u43", "u35"], ["d20", "m20", "u43", "u41"], ["u39", "u45", "m21", "d21", "u48", "u44"], ["m22", "u42", "u52", "u47", "u46", "d22"], ["m23", "u45", "d23", "u49", "u48", "u50"], ["d24", "m24", "u53", "u49", "u51", "u50"], ["u52", "m25", "u53", "u47", "d25", "u54", "u51", "u55"], ["u55", "u54", "d26", "m26"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.757201039291948, 5.757201039291948], [4.535795589267081, 5.535795589267081], [4.410962819560697, 5.410962819560697], [4.618552736624364, 5.618552736624364], [4.685644020547327, 5.685644020547327], [4.546048897597474, 5.546048897597474], [4.5988465233553875, 5.5988465233553875], [4.548132747482237, 5.548132747482237], [4.469081439247296, 5.469081439247296], [4.727502708057525, 5.727502708057525], [4.7334922953754965, 5.7334922953754965], [4.632519757339359, 5.632519757339359], [4.614926674854749, 5.6149266748547495], [4.782039415738627, 5.782039415738627], [4.543799620079293, 5.543799620079293], [4.46260465041694, 5.46260465041694], [4.77698222798103, 5.77698222798103], [4.76220884235419, 5.76220884235419], [4.685996477134334, 5.685996477134334], [4.478055284794744, 5.478055284794744], [4.697108960231957, 5.697108960231957], [4.784266090643509, 5.784266090643509], [4.700186016432227, 5.700186016432227], [4.602353195167331, 5.602353195167331], [4.67675543017347, 5.67675543017347], [4.453691778111235, 5.453691778111235], [4.6920225356852105, 5.6920225356852105]], "meas_lo_range": [[6.664278061, 7.664278061], [6.777820818, 7.777820818], [6.646402984000001, 7.646402984000001], [6.776165242, 7.776165242], [6.721879428, 7.721879428], [6.724591836, 7.724591836], [6.849729881, 7.849729881000001], [6.602229398, 7.602229398], [6.595949986000001, 7.595949986000001], [6.8164155840000005, 7.8164155840000005], [6.669357802, 7.669357802], [6.730074147000001, 7.730074147000001], [6.841395111000001, 7.841395111000001], [6.733799605000001, 7.733799605000001], [6.777881079, 7.777881079], [6.795548516, 7.795548516], [6.662748915000001, 7.662748915000001], [6.862033566, 7.862033566000001], [6.608047229, 7.608047229], [6.595066662000001, 7.595066662000001], [6.840076547000001, 7.840076547000001], [6.750227541, 7.750227541], [6.732124423, 7.732124423], [6.812355419, 7.812355419], [6.682368886000001, 7.682368886000001], [6.782841976, 7.782841976], [6.662892279, 7.662892279]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -1.996818356033197, "delta1": -2.158294891701703, "delta10": -2.131323528242429, "delta11": -2.146917360910393, "delta12": -2.148004985492706, "delta13": -2.1283167126316225, "delta14": -2.1500820080235807, "delta15": -2.1557556870852532, "delta16": 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"cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_cairo", "backend_version": "1.0.17", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], 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0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["acquire", "measure", "delay", "x", "play", "cx", "u1", "rz", "sx", "setf", "u3", "id", "shiftf", "u2", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2440, "measure_esp_enabled": true, "multi_meas_enabled": true, "quantum_volume": 64, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u0", "d1", "u1", "m1", "u4", "u3", "u2", "u8"], ["d2", "u4", "m2", "u6", "u5", "u2"], ["d3", "u10", "m3", "u6", "u5", "u7"], ["u13", "u9", "m4", "u3", "d4", "u8"], ["m5", "u10", "u11", "u16", "d5", "u7"], ["u12", "m6", "d6", "u14"], ["u13", "u9", "u15", "u20", "d7", "u14", "u12", "m7"], ["d8", "u22", "u17", "u19", "u11", "u16", "u18", "m8"], ["d9", "m9", "u17", "u19"], ["u21", "u15", "u20", "d10", "u24", "m10"], ["u22", "m11", "u23", "d11", "u29", "u18"], ["u21", "u32", "m12", "d12", "u26", "u27", "u24", "u25"], ["u28", "d13", "u30", "m13", "u27", "u25"], ["u34", "u28", "u30", "u31", "u29", "d14", "m14", "u23"], ["u37", "u33", "u32", "d15", "m15", "u26"], ["u34", "d16", "m16", "u40", "u31", "u35"], ["u38", "u36", "d17", "m17"], ["u38", "u44", "u37", "u33", "u36", "d18", "u39", "m18"], ["u41", "u42", "d19", "u46", "m19", "u40", "u43", "u35"], ["d20", "m20", "u43", "u41"], ["u39", "u45", "m21", "d21", "u48", "u44"], ["m22", "u42", "u52", "u47", "u46", "d22"], ["m23", "u45", "d23", "u49", "u48", "u50"], ["d24", "m24", "u53", "u49", "u51", "u50"], ["u52", "m25", "u53", "u47", "d25", "u54", "u51", "u55"], ["u55", "u54", "d26", "m26"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.757201039291948, 5.757201039291948], [4.535795589267081, 5.535795589267081], [4.410962819560697, 5.410962819560697], [4.618552736624364, 5.618552736624364], [4.685644020547327, 5.685644020547327], [4.546048897597474, 5.546048897597474], [4.5988465233553875, 5.5988465233553875], [4.548132747482237, 5.548132747482237], [4.469081439247296, 5.469081439247296], [4.727502708057525, 5.727502708057525], [4.7334922953754965, 5.7334922953754965], [4.632519757339359, 5.632519757339359], [4.614926674854749, 5.6149266748547495], [4.782039415738627, 5.782039415738627], [4.543799620079293, 5.543799620079293], [4.46260465041694, 5.46260465041694], [4.77698222798103, 5.77698222798103], [4.76220884235419, 5.76220884235419], [4.685996477134334, 5.685996477134334], [4.478055284794744, 5.478055284794744], [4.697108960231957, 5.697108960231957], [4.784266090643509, 5.784266090643509], [4.700186016432227, 5.700186016432227], [4.602353195167331, 5.602353195167331], [4.67675543017347, 5.67675543017347], [4.453691778111235, 5.453691778111235], [4.6920225356852105, 5.6920225356852105]], "meas_lo_range": [[6.664278061, 7.664278061], [6.777820818, 7.777820818], [6.646402984000001, 7.646402984000001], [6.776165242, 7.776165242], [6.721879428, 7.721879428], [6.724591836, 7.724591836], [6.849729881, 7.849729881000001], [6.602229398, 7.602229398], [6.595949986000001, 7.595949986000001], [6.8164155840000005, 7.8164155840000005], [6.669357802, 7.669357802], [6.730074147000001, 7.730074147000001], [6.841395111000001, 7.841395111000001], [6.733799605000001, 7.733799605000001], [6.777881079, 7.777881079], [6.795548516, 7.795548516], [6.662748915000001, 7.662748915000001], [6.862033566, 7.862033566000001], [6.608047229, 7.608047229], [6.595066662000001, 7.595066662000001], [6.840076547000001, 7.840076547000001], [6.750227541, 7.750227541], [6.732124423, 7.732124423], [6.812355419, 7.812355419], [6.682368886000001, 7.682368886000001], [6.782841976, 7.782841976], [6.662892279, 7.662892279]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -1.996818356033197, "delta1": -2.158294891701703, "delta10": -2.131323528242429, "delta11": -2.146917360910393, "delta12": -2.148004985492706, "delta13": -2.1283167126316225, "delta14": -2.1500820080235807, "delta15": -2.1557556870852532, "delta16": -2.121108546072336, "delta17": -2.117226529023583, "delta18": -2.13573938635596, "delta19": -2.164852540005843, "delta2": -2.1577593933218258, "delta20": -2.130885442844665, "delta21": -2.118384301702519, "delta22": -2.135090583834568, "delta23": -2.14001668018322, "delta24": -2.1413006373859638, "delta25": -2.1724484087337848, "delta26": -2.133241779998886, "delta3": -2.143369931109634, "delta4": -2.132015489138309, "delta5": -2.143543360595281, "delta6": -2.140700057848638, "delta7": -2.1443880757940708, "delta8": -2.169641407219892, "delta9": -2.1265084017352858, "jq0q1": 0.009676049681471007, "jq10q12": 0.012918813048046537, "jq11q14": 0.012111027372268275, "jq12q13": 0.012953465785730053, "jq12q15": 0.011765986061985855, "jq13q14": 0.013246506629129745, "jq14q16": 0.012532947680359457, "jq15q18": 0.012230080998113547, "jq16q19": 0.012451787520878456, "jq17q18": 0.013061925470542225, "jq18q21": 0.013441298851360783, "jq19q20": 0.012691290416700349, "jq19q22": 0.012868795489457636, 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31.718353507672514, "wq8": 31.221659489257405, "wq9": 32.84536820850854}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": 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"d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": 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"cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/cambridge/conf_cambridge.json b/qiskit/providers/fake_provider/backends/cambridge/conf_cambridge.json index d883c3c0a9a2..1e764f00da3d 100644 --- a/qiskit/providers/fake_provider/backends/cambridge/conf_cambridge.json +++ b/qiskit/providers/fake_provider/backends/cambridge/conf_cambridge.json @@ -1 +1 @@ -{"backend_name": "ibmq_cambridge", "backend_version": "1.2.0", "n_qubits": 28, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [26, 25], [26, 27], [27, 18], [27, 26]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [26, 25], [26, 27], [27, 18], [27, 26]], "max_experiments": 900, "sample_name": "Falcon", "n_registers": 1, "credits_required": true, "online_date": "2019-11-08T05:00:00+00:00", "description": "28 qubit device", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_cambridge", "backend_version": "1.2.0", "n_qubits": 28, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [26, 25], [26, 27], [27, 18], [27, 26]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [26, 25], [26, 27], [27, 18], [27, 26]], "max_experiments": 900, "sample_name": "Falcon", "n_registers": 1, "credits_required": true, "online_date": "2019-11-08T05:00:00+00:00", "description": "28 qubit device", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/casablanca/conf_casablanca.json b/qiskit/providers/fake_provider/backends/casablanca/conf_casablanca.json index 77ac84deae77..d74081c63deb 100644 --- a/qiskit/providers/fake_provider/backends/casablanca/conf_casablanca.json +++ b/qiskit/providers/fake_provider/backends/casablanca/conf_casablanca.json @@ -1 +1 @@ -{"backend_name": "ibmq_casablanca", "backend_version": "1.1.14", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["id", "play", "u1", "setf", "u3", "acquire", "u2", "sx", "reset", "cx", "shiftf", "x", "measure", "rz", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2020-08-07T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "H"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["u5", "u1", "m1", "u3", "d1", "u2", "u4", "u0"], ["u2", "m2", "d2", "u4"], ["u5", "u3", "d3", "u8", "u6", "m3"], ["u7", "u9", "d4", "m4"], ["u7", "d5", "u10", "u8", "u6", "u11", "u9", "m5"], ["d6", "m6", "u10", "u11"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.322066993543337, 5.322066993543337], [4.259769058699999, 5.259769058699999], [4.407301190678057, 5.407301190678057], [4.378966486259414, 5.378966486259414], [4.370905637705659, 5.370905637705659], [4.463969409958764, 5.463969409958764], [4.67710379481424, 5.67710379481424]], "meas_lo_range": [[6.784054663, 7.784054663000001], [6.8854385140000005, 7.8854385140000005], [6.8231800300000005, 7.8231800300000005], [6.730756417, 7.730756417], [6.780310863, 7.780310863], [6.646993373000001, 7.646993373000001], [6.900652534000001, 7.900652534000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) \\\\ & + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.1356848957375534, "delta1": -2.0510695179330973, "delta2": -2.127640392457325, "delta3": -2.127748155824096, "delta4": -2.129301739398853, "delta5": -2.022190613752458, "delta6": -2.104827921746793, "jq0q1": 0.008155201121047262, "jq1q2": 0.00896030287147453, "jq1q3": 0.008704187306888234, "jq3q5": 0.008755759807187284, "jq4q5": 0.009192358915922278, "jq5q6": 0.010792387809142637, "omegad0": 1.4280729280451456, "omegad1": 1.0332216856610728, "omegad2": 1.4011304173551218, "omegad3": 1.5380396704279846, "omegad4": 1.4771665783775876, "omegad5": 1.0683254629878913, "omegad6": 0.9052403656605853, "wq0": 30.29794048406714, "wq1": 29.906511015191843, "wq2": 30.833482739173263, "wq3": 30.65545054068676, "wq4": 30.604802735490416, "wq5": 31.189539661941833, "wq6": 32.528702497320516}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_casablanca", "backend_version": "1.1.14", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["id", "play", "u1", "setf", "u3", "acquire", "u2", "sx", "reset", "cx", "shiftf", "x", "measure", "rz", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2020-08-07T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "H"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["u5", "u1", "m1", "u3", "d1", "u2", "u4", "u0"], ["u2", "m2", "d2", "u4"], ["u5", "u3", "d3", "u8", "u6", "m3"], ["u7", "u9", "d4", "m4"], ["u7", "d5", "u10", "u8", "u6", "u11", "u9", "m5"], ["d6", "m6", "u10", "u11"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.322066993543337, 5.322066993543337], [4.259769058699999, 5.259769058699999], [4.407301190678057, 5.407301190678057], [4.378966486259414, 5.378966486259414], [4.370905637705659, 5.370905637705659], [4.463969409958764, 5.463969409958764], [4.67710379481424, 5.67710379481424]], "meas_lo_range": [[6.784054663, 7.784054663000001], [6.8854385140000005, 7.8854385140000005], [6.8231800300000005, 7.8231800300000005], [6.730756417, 7.730756417], [6.780310863, 7.780310863], [6.646993373000001, 7.646993373000001], [6.900652534000001, 7.900652534000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) \\\\ & + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.1356848957375534, "delta1": -2.0510695179330973, "delta2": -2.127640392457325, "delta3": -2.127748155824096, "delta4": -2.129301739398853, "delta5": -2.022190613752458, "delta6": -2.104827921746793, "jq0q1": 0.008155201121047262, "jq1q2": 0.00896030287147453, "jq1q3": 0.008704187306888234, "jq3q5": 0.008755759807187284, "jq4q5": 0.009192358915922278, "jq5q6": 0.010792387809142637, "omegad0": 1.4280729280451456, "omegad1": 1.0332216856610728, "omegad2": 1.4011304173551218, "omegad3": 1.5380396704279846, "omegad4": 1.4771665783775876, "omegad5": 1.0683254629878913, "omegad6": 0.9052403656605853, "wq0": 30.29794048406714, "wq1": 29.906511015191843, "wq2": 30.833482739173263, "wq3": 30.65545054068676, "wq4": 30.604802735490416, "wq5": 31.189539661941833, "wq6": 32.528702497320516}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/essex/conf_essex.json b/qiskit/providers/fake_provider/backends/essex/conf_essex.json index 34a3cb093e7a..a575f3cf7abd 100644 --- a/qiskit/providers/fake_provider/backends/essex/conf_essex.json +++ b/qiskit/providers/fake_provider/backends/essex/conf_essex.json @@ -1 +1 @@ -{"backend_name": "ibmq_essex", "backend_version": "1.0.2", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "5 qubit device Essex", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_essex", "backend_version": "1.0.2", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "5 qubit device Essex", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/geneva/conf_geneva.json b/qiskit/providers/fake_provider/backends/geneva/conf_geneva.json index 93a2c507389f..b5f990f9d076 100644 --- a/qiskit/providers/fake_provider/backends/geneva/conf_geneva.json +++ b/qiskit/providers/fake_provider/backends/geneva/conf_geneva.json @@ -1 +1 @@ -{"backend_name": "ibm_geneva", "backend_version": "1.0.0", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "u2", "delay", "rz", "u1", "u3", "x", "play", "reset", "cx", "id", "acquire", "setf", "shiftf", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 8", "n_registers": 1, "credits_required": true, "online_date": "2022-03-25T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 8}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 1950, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "m0", "u1", "d0"], ["u2", "u8", "d1", "u1", "u3", "u0", "m1", "u4"], ["u2", "u5", "u6", "d2", "m2", "u4"], ["u5", "u6", "u7", "u10", "m3", "d3"], ["m4", "u8", "u3", "u13", "u9", "d4"], ["u16", "d5", "u7", "u10", "u11", "m5"], ["u14", "m6", "u12", "d6"], ["u14", "u12", "m7", "u15", "u13", "d7", "u9", "u20"], ["u16", "u17", "u22", "m8", "u19", "u18", "u11", "d8"], ["u19", "m9", "u17", "d9"], ["u21", "u15", "d10", "u24", "m10", "u20"], ["u23", "m11", "u18", "u22", "d11", "u29"], ["m12", "u21", "u32", "d12", "u26", "u25", "u27", "u24"], ["u30", "m13", "u25", "u28", "u27", "d13"], ["u23", "u30", "u31", "u34", "m14", "u28", "d14", "u29"], ["d15", "u32", "m15", "u26", "u33", "u37"], ["u31", "u34", "u35", "d16", "m16", "u40"], ["u36", "m17", "u38", "d17"], ["d18", "u38", "u36", "u33", "u39", "u37", "u44", "m18"], ["u46", "u35", "d19", "u42", "u40", "m19", "u43", "u41"], ["m20", "d20", "u43", "u41"], ["u45", "d21", "u39", "u44", "m21", "u48"], ["u46", "m22", "d22", "u42", "u47", "u52"], ["u45", "d23", "u49", "m23", "u50", "u48"], ["u49", "u53", "u51", "d24", "u50", "m24"], ["u53", "u51", "u54", "u47", "m25", "d25", "u52", "u55"], ["u54", "d26", "m26", "u55"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.325743015579376, 5.325743015579376], [4.172871363094885, 5.172871363094885], [4.0806985233664514, 5.080698523366451], [4.174620357115893, 5.174620357115893], [4.23759625812113, 5.23759625812113], [4.299251490561833, 5.299251490561833], [4.379485498491239, 5.379485498491239], [4.118011385738175, 5.118011385738175], [4.353242154753866, 5.353242154753866], [4.258986716382243, 5.258986716382243], [4.35903608247861, 5.35903608247861], [4.199123486138225, 5.199123486138225], [4.054282232918502, 5.054282232918502], [4.1779862119008, 5.1779862119008], [4.125329967321016, 5.125329967321017], [4.161899932759396, 5.161899932759396], [4.0906289547318675, 5.090628954731868], [4.110081243925168, 5.110081243925168], [4.195555575529053, 5.1955555755290534], [4.2080983138938945, 5.2080983138938945], [4.330157407178421, 5.330157407178421], [4.050140122828701, 5.050140122828702], [4.1289346019454385, 5.1289346019454385], [4.127963768036649, 5.127963768036649], [4.17896659339771, 5.1789665933977105], [4.087717907812707, 5.087717907812707], [4.169893984900796, 5.169893984900796]], "meas_lo_range": [[6.643967359, 7.643967359], [6.77005636134472, 7.77005636134472], [6.657170563, 7.657170563], [6.779815255000001, 7.779815255000001], [6.726998877000001, 7.726998877000001], [6.728239454000001, 7.728239454000001], [6.852175679, 7.852175679], [6.6181997500000005, 7.6181997500000005], [6.614026952000001, 7.614026952000001], [6.8280825300000005, 7.8280825300000005], [6.675449583000001, 7.675449583000001], [6.732633966000001, 7.732633966000001], [6.861255517, 7.861255517000001], [6.746867234000001, 7.746867234000001], [6.789763409000001, 7.789763409000001], [6.8274533360000005, 7.8274533360000005], [6.687732018, 7.687732018], [6.899991996000001, 7.899991996000001], [6.643169945, 7.643169945], [6.618476778000001, 7.618476778000001], [6.863684474, 7.863684474], [6.7894360990000004, 7.7894360990000004], [6.767483029, 7.767483029], [6.864085546, 7.864085546], [6.71469172, 7.71469172], [6.833297521, 7.833297521], [6.715242262, 7.715242262]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", 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"omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": 0.0, "delta1": 0.0, "delta10": 0.0, "delta11": 0.0, "delta12": 0.0, "delta13": 0.0, "delta14": 0.0, "delta15": 0.0, "delta16": 0.0, "delta17": 0.0, "delta18": 0.0, "delta19": 0.0, "delta2": 0.0, "delta20": 0.0, "delta21": 0.0, "delta22": 0.0, "delta23": 0.0, 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[24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["sx", "u2", "delay", "rz", "u1", "u3", "x", "play", "reset", "cx", "id", "acquire", "setf", "shiftf", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 8", "n_registers": 1, "credits_required": true, "online_date": "2022-03-25T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 8}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 1950, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "m0", "u1", "d0"], ["u2", "u8", "d1", "u1", "u3", "u0", "m1", "u4"], ["u2", "u5", "u6", "d2", "m2", "u4"], ["u5", "u6", "u7", "u10", "m3", "d3"], ["m4", "u8", "u3", "u13", "u9", "d4"], ["u16", "d5", "u7", "u10", "u11", "m5"], ["u14", "m6", "u12", "d6"], ["u14", "u12", "m7", "u15", "u13", "d7", "u9", "u20"], ["u16", "u17", "u22", "m8", "u19", "u18", "u11", "d8"], ["u19", "m9", "u17", "d9"], ["u21", "u15", "d10", "u24", "m10", "u20"], ["u23", "m11", "u18", "u22", "d11", "u29"], ["m12", "u21", "u32", "d12", "u26", "u25", "u27", "u24"], ["u30", "m13", "u25", "u28", "u27", "d13"], ["u23", "u30", "u31", "u34", "m14", "u28", "d14", "u29"], ["d15", "u32", "m15", "u26", "u33", "u37"], ["u31", "u34", "u35", "d16", "m16", "u40"], ["u36", "m17", "u38", "d17"], ["d18", "u38", "u36", "u33", "u39", "u37", "u44", "m18"], ["u46", "u35", "d19", "u42", "u40", "m19", "u43", "u41"], ["m20", "d20", "u43", "u41"], ["u45", "d21", "u39", "u44", "m21", "u48"], ["u46", "m22", "d22", "u42", "u47", "u52"], ["u45", "d23", "u49", "m23", "u50", "u48"], ["u49", "u53", "u51", "d24", "u50", "m24"], ["u53", "u51", "u54", "u47", "m25", "d25", "u52", "u55"], ["u54", "d26", "m26", "u55"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.325743015579376, 5.325743015579376], [4.172871363094885, 5.172871363094885], [4.0806985233664514, 5.080698523366451], [4.174620357115893, 5.174620357115893], [4.23759625812113, 5.23759625812113], [4.299251490561833, 5.299251490561833], [4.379485498491239, 5.379485498491239], [4.118011385738175, 5.118011385738175], [4.353242154753866, 5.353242154753866], [4.258986716382243, 5.258986716382243], [4.35903608247861, 5.35903608247861], [4.199123486138225, 5.199123486138225], [4.054282232918502, 5.054282232918502], [4.1779862119008, 5.1779862119008], [4.125329967321016, 5.125329967321017], [4.161899932759396, 5.161899932759396], [4.0906289547318675, 5.090628954731868], [4.110081243925168, 5.110081243925168], [4.195555575529053, 5.1955555755290534], [4.2080983138938945, 5.2080983138938945], [4.330157407178421, 5.330157407178421], [4.050140122828701, 5.050140122828702], [4.1289346019454385, 5.1289346019454385], [4.127963768036649, 5.127963768036649], [4.17896659339771, 5.1789665933977105], [4.087717907812707, 5.087717907812707], [4.169893984900796, 5.169893984900796]], "meas_lo_range": [[6.643967359, 7.643967359], [6.77005636134472, 7.77005636134472], [6.657170563, 7.657170563], [6.779815255000001, 7.779815255000001], [6.726998877000001, 7.726998877000001], [6.728239454000001, 7.728239454000001], [6.852175679, 7.852175679], [6.6181997500000005, 7.6181997500000005], [6.614026952000001, 7.614026952000001], [6.8280825300000005, 7.8280825300000005], [6.675449583000001, 7.675449583000001], [6.732633966000001, 7.732633966000001], [6.861255517, 7.861255517000001], [6.746867234000001, 7.746867234000001], [6.789763409000001, 7.789763409000001], [6.8274533360000005, 7.8274533360000005], [6.687732018, 7.687732018], [6.899991996000001, 7.899991996000001], [6.643169945, 7.643169945], [6.618476778000001, 7.618476778000001], [6.863684474, 7.863684474], [6.7894360990000004, 7.7894360990000004], [6.767483029, 7.767483029], [6.864085546, 7.864085546], [6.71469172, 7.71469172], [6.833297521, 7.833297521], [6.715242262, 7.715242262]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": 0.0, "delta1": 0.0, "delta10": 0.0, "delta11": 0.0, "delta12": 0.0, "delta13": 0.0, "delta14": 0.0, "delta15": 0.0, "delta16": 0.0, "delta17": 0.0, "delta18": 0.0, "delta19": 0.0, "delta2": 0.0, "delta20": 0.0, "delta21": 0.0, "delta22": 0.0, "delta23": 0.0, 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{"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": 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"measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/guadalupe/conf_guadalupe.json b/qiskit/providers/fake_provider/backends/guadalupe/conf_guadalupe.json index 7107943b9778..fc62a1e2e8aa 100644 --- a/qiskit/providers/fake_provider/backends/guadalupe/conf_guadalupe.json +++ b/qiskit/providers/fake_provider/backends/guadalupe/conf_guadalupe.json @@ -1 +1 @@ -{"backend_name": "ibmq_guadalupe", "backend_version": "1.2.15", "n_qubits": 16, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [15, 12]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [15, 12]], "dynamic_reprate_enabled": true, "supported_instructions": ["u1", "acquire", "sx", "delay", "measure", "x", "u2", "reset", "u3", "play", "cx", "id", "rz", "setf", "shiftf"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: P", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "16 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "P"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["u1", "u8", "m1", "u2", "u3", "u4", "d1", "u0"], ["u5", "u6", "d2", "u2", "u4", "m2"], ["u7", "u5", "u6", "d3", "u10", "m3"], ["u8", "d4", "u9", "m4", "u13", "u3"], ["u7", "d5", "u10", "u11", "m5", "u16"], ["m6", "u14", "u12", "d6"], ["u20", "u9", "u12", "u13", "m7", "d7", "u15", "u14"], ["m8", "u17", "u11", "u18", "u22", "u16", "u19", "d8"], ["m9", "u17", "u19", "d9"], ["u20", "m10", "u24", "u15", "d10", "u21"], ["u23", "d11", "m11", "u18", "u22", "u29"], ["u25", "u24", "u31", "u26", "d12", "m12", "u27", "u21"], ["u30", "u25", "u28", "m13", "d13", "u27"], ["m14", "u30", "u23", "u28", "d14", "u29"], ["d15", "u26", "m15", "u31"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 32, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.613287233682569, 5.613287233682569], [4.661150201378155, 5.661150201378155], [4.810981876253276, 5.810981876253276], [4.960448930750244, 5.960448930750244], [4.853538224875417, 5.853538224875417], [4.803499127648005, 5.803499127648005], [4.63634996351357, 5.63634996351357], [4.702524092870788, 5.702524092870788], [4.674630057543702, 5.674630057543702], [4.753691225395515, 5.753691225395515], [4.926601210466528, 5.926601210466528], [4.890182566643149, 5.890182566643149], [4.763121972591449, 5.763121972591449], [4.538192107916566, 5.538192107916566], [4.7050240667912, 5.7050240667912], [4.62542041449287, 5.62542041449287]], "meas_lo_range": [[6.820434764000001, 7.820434764000001], [6.920156487000001, 7.920156487000001], [6.806879783, 7.806879783], [6.931633498, 7.931633498], [6.871094372000001, 7.871094372000001], [6.867124325000001, 7.867124325000001], [6.988623947000001, 7.988623947000001], [6.744138759, 7.744138759], [6.739828772, 7.739828772], [6.986574026, 7.986574026], [6.830501917, 7.830501917], [6.874447476, 7.874447476], [6.977190940000001, 7.977190940000001], [6.8715744, 7.8715744], [6.914894627000001, 7.914894627000001], [6.931057753, 7.931057753]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{15}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{31}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,15,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,15,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,15,-delta{i}/2*O{i}]", "_SUM[i,0,15,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad13*X14||U30", "omegad11*X14||U29", "omegad12*X15||U31"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3}, "vars": {"delta0": -2.1063275673282793, "delta1": -1.9997457995481482, "delta10": -2.0723591213397214, "delta11": -2.077299463459474, "delta12": -1.9882861833207344, "delta13": -2.1195886405011586, "delta14": -1.9938216985026165, "delta15": -2.100360336460335, "delta2": -2.0850063745061163, "delta3": -1.9841850364728746, "delta4": -2.0816663449106074, "delta5": -2.087247252161857, "delta6": -2.1118540185370227, "delta7": -1.9938361951339494, "delta8": -1.9946873220639585, "delta9": -2.0977196521924837, "jq0q1": 0.011035706380861009, "jq10q12": 0.014090719920513348, "jq11q14": 0.012403331538732508, "jq12q13": 0.011412587588970341, "jq12q15": 0.01215583700723528, "jq13q14": 0.011412484059140323, "jq1q2": 0.012748863472878359, "jq1q4": 0.011763703935975567, "jq2q3": 0.012883066723545332, "jq3q5": 0.013345490439462725, "jq4q7": 0.013062130151937424, "jq5q8": 0.011633341546437841, "jq6q7": 0.011199743290710286, "jq7q10": 0.012452487603790153, "jq8q11": 0.013192726475902064, "jq8q9": 0.011879100541186129, "omegad0": 0.9910505941825081, "omegad1": 1.0014378520063403, "omegad10": 0.9765503679670987, "omegad11": 0.6329394553252121, "omegad12": 1.0299657249417091, "omegad13": 0.9999970292973144, "omegad14": 0.6383807905990767, "omegad15": 1.0488881283529827, "omegad2": 0.9687255693027055, "omegad3": 0.5208910998979422, "omegad4": 0.9054655205063734, "omegad5": 1.012563345428823, "omegad6": 0.860348689937236, "omegad7": 1.056901096085543, "omegad8": 1.0056765748738872, "omegad9": 1.0488311337594418, "wq0": 32.12773121806327, "wq1": 32.428463113446185, "wq10": 34.09634099352625, "wq11": 33.86751590574778, "wq12": 33.069170648080636, "wq13": 31.655894627209516, "wq14": 32.7041307399786, "wq15": 32.20396624145991, "wq2": 33.36988329157166, "wq3": 34.309012492294414, "wq4": 33.6372727159615, "wq5": 33.3228677954777, "wq6": 32.27263862328087, "wq7": 32.68842294057354, "wq8": 32.51315954764844, "wq9": 33.00991551586341}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_guadalupe", "backend_version": "1.2.15", "n_qubits": 16, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [15, 12]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [15, 12]], "dynamic_reprate_enabled": true, "supported_instructions": ["u1", "acquire", "sx", "delay", "measure", "x", "u2", "reset", "u3", "play", "cx", "id", "rz", "setf", "shiftf"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: P", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "16 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "P"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["u1", "u8", "m1", "u2", "u3", "u4", "d1", "u0"], ["u5", "u6", "d2", "u2", "u4", "m2"], ["u7", "u5", "u6", "d3", "u10", "m3"], ["u8", "d4", "u9", "m4", "u13", "u3"], ["u7", "d5", "u10", "u11", "m5", "u16"], ["m6", "u14", "u12", "d6"], ["u20", "u9", "u12", "u13", "m7", "d7", "u15", "u14"], ["m8", "u17", "u11", "u18", "u22", "u16", "u19", "d8"], ["m9", "u17", "u19", "d9"], ["u20", "m10", "u24", "u15", "d10", "u21"], ["u23", "d11", "m11", "u18", "u22", "u29"], ["u25", "u24", "u31", "u26", "d12", "m12", "u27", "u21"], ["u30", "u25", "u28", "m13", "d13", "u27"], ["m14", "u30", "u23", "u28", "d14", "u29"], ["d15", "u26", "m15", "u31"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 32, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.613287233682569, 5.613287233682569], [4.661150201378155, 5.661150201378155], [4.810981876253276, 5.810981876253276], [4.960448930750244, 5.960448930750244], [4.853538224875417, 5.853538224875417], [4.803499127648005, 5.803499127648005], [4.63634996351357, 5.63634996351357], [4.702524092870788, 5.702524092870788], [4.674630057543702, 5.674630057543702], [4.753691225395515, 5.753691225395515], [4.926601210466528, 5.926601210466528], [4.890182566643149, 5.890182566643149], [4.763121972591449, 5.763121972591449], [4.538192107916566, 5.538192107916566], [4.7050240667912, 5.7050240667912], [4.62542041449287, 5.62542041449287]], "meas_lo_range": [[6.820434764000001, 7.820434764000001], [6.920156487000001, 7.920156487000001], [6.806879783, 7.806879783], [6.931633498, 7.931633498], [6.871094372000001, 7.871094372000001], [6.867124325000001, 7.867124325000001], [6.988623947000001, 7.988623947000001], [6.744138759, 7.744138759], [6.739828772, 7.739828772], [6.986574026, 7.986574026], [6.830501917, 7.830501917], [6.874447476, 7.874447476], [6.977190940000001, 7.977190940000001], [6.8715744, 7.8715744], [6.914894627000001, 7.914894627000001], [6.931057753, 7.931057753]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{15}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{31}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,15,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,15,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,15,-delta{i}/2*O{i}]", "_SUM[i,0,15,omegad{i}*X{i}||D{i}]", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad13*X14||U30", "omegad11*X14||U29", "omegad12*X15||U31"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3}, "vars": {"delta0": -2.1063275673282793, "delta1": -1.9997457995481482, "delta10": -2.0723591213397214, "delta11": -2.077299463459474, "delta12": -1.9882861833207344, "delta13": -2.1195886405011586, "delta14": -1.9938216985026165, "delta15": -2.100360336460335, "delta2": -2.0850063745061163, "delta3": -1.9841850364728746, "delta4": -2.0816663449106074, "delta5": -2.087247252161857, "delta6": -2.1118540185370227, "delta7": -1.9938361951339494, "delta8": -1.9946873220639585, "delta9": -2.0977196521924837, "jq0q1": 0.011035706380861009, "jq10q12": 0.014090719920513348, "jq11q14": 0.012403331538732508, "jq12q13": 0.011412587588970341, "jq12q15": 0.01215583700723528, "jq13q14": 0.011412484059140323, "jq1q2": 0.012748863472878359, "jq1q4": 0.011763703935975567, "jq2q3": 0.012883066723545332, "jq3q5": 0.013345490439462725, "jq4q7": 0.013062130151937424, "jq5q8": 0.011633341546437841, "jq6q7": 0.011199743290710286, "jq7q10": 0.012452487603790153, "jq8q11": 0.013192726475902064, "jq8q9": 0.011879100541186129, "omegad0": 0.9910505941825081, "omegad1": 1.0014378520063403, "omegad10": 0.9765503679670987, "omegad11": 0.6329394553252121, "omegad12": 1.0299657249417091, "omegad13": 0.9999970292973144, "omegad14": 0.6383807905990767, "omegad15": 1.0488881283529827, "omegad2": 0.9687255693027055, "omegad3": 0.5208910998979422, "omegad4": 0.9054655205063734, "omegad5": 1.012563345428823, "omegad6": 0.860348689937236, "omegad7": 1.056901096085543, "omegad8": 1.0056765748738872, "omegad9": 1.0488311337594418, "wq0": 32.12773121806327, "wq1": 32.428463113446185, "wq10": 34.09634099352625, "wq11": 33.86751590574778, "wq12": 33.069170648080636, "wq13": 31.655894627209516, "wq14": 32.7041307399786, "wq15": 32.20396624145991, "wq2": 33.36988329157166, "wq3": 34.309012492294414, "wq4": 33.6372727159615, "wq5": 33.3228677954777, "wq6": 32.27263862328087, "wq7": 32.68842294057354, "wq8": 32.51315954764844, "wq9": 33.00991551586341}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/hanoi/conf_hanoi.json b/qiskit/providers/fake_provider/backends/hanoi/conf_hanoi.json index 48918abcf232..3db4b208a4bb 100644 --- a/qiskit/providers/fake_provider/backends/hanoi/conf_hanoi.json +++ b/qiskit/providers/fake_provider/backends/hanoi/conf_hanoi.json @@ -1 +1 @@ -{"backend_name": "ibm_hanoi", "backend_version": "1.0.18", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "play", "measure", "delay", "acquire", "sx", "cx", "reset", "x", "shiftf", "u1", "u3", "u2", "setf", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-04-24T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2341, "measure_esp_enabled": true, "multi_meas_enabled": true, "quantum_volume": 64, "qubit_channel_mapping": [["d0", "m0", "u1", "u0"], ["d1", "m1", "u1", "u3", "u2", "u0", "u4", "u8"], ["m2", "u6", "d2", "u2", "u4", "u5"], ["u7", "u6", "m3", "u10", "u5", "d3"], ["u9", "u13", "d4", "u3", "m4", "u8"], ["m5", "d5", "u7", "u11", "u16", "u10"], ["u12", "u14", "m6", "d6"], ["u12", "u9", "m7", "d7", "u13", "u15", "u14", "u20"], ["u19", "u18", "u22", "d8", "u11", "m8", "u16", "u17"], ["u19", "u17", "m9", "d9"], ["u21", "m10", "u15", "u20", "u24", "d10"], ["u18", "u29", "u22", "m11", "u23", "d11"], ["u21", "m12", "u32", "u27", "u26", "u24", "u25", "d12"], ["m13", "u30", "u27", "d13", "u25", "u28"], ["u34", "m14", "u30", "u29", "d14", "u23", "u31", "u28"], ["u32", "u33", "u26", "u37", "d15", "m15"], ["u40", "u34", "u35", "m16", "d16", "u31"], ["d17", "m17", "u36", "u38"], ["u33", "u37", "u38", "d18", "m18", "u36", "u44", "u39"], ["u43", "u40", "u41", "d19", "u46", "u42", "u35", "m19"], ["u43", "d20", "u41", "m20"], ["d21", "u48", "u44", "m21", "u45", "u39"], ["u47", "d22", "u52", "u46", "u42", "m22"], ["u49", "m23", "u50", "d23", "u48", "u45"], ["u49", "m24", "u53", "u51", "d24", "u50"], ["u47", "d25", "u53", "u52", "u54", "u51", "m25", "u55"], ["u54", "d26", "m26", "u55"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.535257503599211, 5.535257503599211], [4.655565118090405, 5.655565118090405], [4.755995040248669, 5.755995040248669], [4.597246059676533, 5.597246059676533], [4.573268319137003, 5.573268319137003], [4.707464807502693, 5.707464807502694], [4.5210015516417, 5.5210015516417], [4.4191505084130815, 5.4191505084130815], [4.530713370275684, 5.530713370275684], [4.3740868671878745, 5.3740868671878745], [4.320985528731567, 5.320985528731567], [4.661695558780752, 5.661695558780752], [4.218894123006918, 5.218894123006918], [4.46239280214447, 5.46239280214447], [4.546578733357967, 5.546578733357967], [4.4233696440290196, 5.4233696440290196], [4.383763459999275, 5.383763459999275], [4.723019531456885, 5.723019531456885], [4.468043966959381, 5.468043966959381], [4.503050223752749, 5.503050223752749], [4.594892970591303, 5.594892970591303], [4.339318141468997, 5.339318141468997], [4.418673448292978, 5.418673448292978], [4.4076099256247945, 5.4076099256247945], [4.491553956799851, 5.491553956799851], [4.312437397584483, 5.312437397584483], [4.5198818619488375, 5.5198818619488375]], "meas_lo_range": [[6.665371582000001, 7.665371582000001], [6.785782665, 7.785782665], [6.673691701, 7.673691701], [6.798730620000001, 7.798730620000001], [6.724593267, 7.724593267], [6.735959639000001, 7.735959639000001], [6.844801469, 7.844801469], [6.60075502, 7.60075502], [6.6045704050000005, 7.6045704050000005], [6.833083734000001, 7.833083734000001], [6.6631827690000005, 7.6631827690000005], [6.720441798, 7.720441798], [6.832567197, 7.832567197], [6.720599967, 7.720599967], [6.775398235000001, 7.775398235000001], [6.774109033, 7.774109033], [6.672388137, 7.672388137], [6.845100488000001, 7.845100488000001], [6.611022672000001, 7.611022672000001], [6.6065729090000005, 7.6065729090000005], [6.843041951, 7.843041951000001], [6.728027087, 7.728027087], [6.730878403, 7.730878403], [6.780402175000001, 7.780402175000001], [6.668562946000001, 7.668562946000001], [6.769199002000001, 7.769199002000001], [6.659368961, 7.659368961]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.157041224831975, "delta1": -2.1470913136177914, "delta10": -2.179199229249938, "delta11": -2.1482764555390363, "delta12": -2.187697799628999, "delta13": -2.1679159669239545, "delta14": -2.1649606104048758, "delta15": -2.0114163698303624, "delta16": 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30.90793419826607, "wq8": 31.60890433274808, "wq9": 30.62479098983183}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": 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"d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": 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7.720599967], [6.775398235000001, 7.775398235000001], [6.774109033, 7.774109033], [6.672388137, 7.672388137], [6.845100488000001, 7.845100488000001], [6.611022672000001, 7.611022672000001], [6.6065729090000005, 7.6065729090000005], [6.843041951, 7.843041951000001], [6.728027087, 7.728027087], [6.730878403, 7.730878403], [6.780402175000001, 7.780402175000001], [6.668562946000001, 7.668562946000001], [6.769199002000001, 7.769199002000001], [6.659368961, 7.659368961]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.157041224831975, "delta1": -2.1470913136177914, "delta10": -2.179199229249938, "delta11": -2.1482764555390363, "delta12": -2.187697799628999, "delta13": -2.1679159669239545, "delta14": -2.1649606104048758, "delta15": -2.0114163698303624, "delta16": 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{"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/jakarta/conf_jakarta.json b/qiskit/providers/fake_provider/backends/jakarta/conf_jakarta.json index 8eb0a970904f..71a68bad6463 100644 --- a/qiskit/providers/fake_provider/backends/jakarta/conf_jakarta.json +++ b/qiskit/providers/fake_provider/backends/jakarta/conf_jakarta.json @@ -1 +1 @@ -{"backend_name": "ibmq_jakarta", "backend_version": "1.0.11", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["play", "cx", "x", "measure", "delay", "reset", "u1", "acquire", "u3", "setf", "sx", "shiftf", "rz", "u2", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-04-28T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 16, "qubit_channel_mapping": [["u0", "u1", "m0", "d0"], ["d1", "u1", "u4", "m1", "u5", "u3", "u2", "u0"], ["d2", "m2", "u4", "u2"], ["d3", "m3", "u8", "u6", "u5", "u3"], ["u9", "u7", "d4", "m4"], ["d5", "u10", "m5", "u11", "u9", "u8", "u7", "u6"], ["u10", "m6", "d6", "u11"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.7363514874604355, 5.7363514874604355], [4.514160311321986, 5.514160311321986], [4.607731140852676, 5.607731140852676], [4.6783964503276705, 5.6783964503276705], [4.713360401236513, 5.713360401236513], [4.5633768976980855, 5.5633768976980855], [4.799980598196265, 5.799980598196265]], "meas_lo_range": [[6.778403705000001, 7.778403705000001], [6.837870946000001, 7.837870946000001], [6.714724146, 7.714724146000001], [6.670601296, 7.670601296], [6.858364424, 7.858364424], [6.604986923, 7.604986923], [6.741873548, 7.741873548]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.13555173817207, "delta1": -2.1563927057817027, "delta2": -2.146430374895862, "delta3": -2.143302106510836, "delta4": -2.1315918993490253, "delta5": -2.1443842681217924, "delta6": -2.126003036762104, "jq0q1": 0.012286377631357464, "jq1q2": 0.012580420010373893, "jq1q3": 0.012895897946888989, "jq3q5": 0.012535018234570119, "jq4q5": 0.012857428747059304, "jq5q6": 0.01314290048759992, "omegad0": 0.9419548551363958, "omegad1": 0.9785373720570113, "omegad2": 0.9676568920580658, "omegad3": 0.9608238489856943, "omegad4": 0.9690710855391497, "omegad5": 0.985910107984504, "omegad6": 0.9593179968080039, "wq0": 32.90096672923938, "wq1": 31.50489839594133, "wq2": 32.09282125722916, "wq3": 32.53682449144974, "wq4": 32.756509474081135, "wq5": 31.81413532832917, "wq6": 33.30076022292364}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_jakarta", "backend_version": "1.0.11", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["play", "cx", "x", "measure", "delay", "reset", "u1", "acquire", "u3", "setf", "sx", "shiftf", "rz", "u2", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-04-28T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 16, "qubit_channel_mapping": [["u0", "u1", "m0", "d0"], ["d1", "u1", "u4", "m1", "u5", "u3", "u2", "u0"], ["d2", "m2", "u4", "u2"], ["d3", "m3", "u8", "u6", "u5", "u3"], ["u9", "u7", "d4", "m4"], ["d5", "u10", "m5", "u11", "u9", "u8", "u7", "u6"], ["u10", "m6", "d6", "u11"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.7363514874604355, 5.7363514874604355], [4.514160311321986, 5.514160311321986], [4.607731140852676, 5.607731140852676], [4.6783964503276705, 5.6783964503276705], [4.713360401236513, 5.713360401236513], [4.5633768976980855, 5.5633768976980855], [4.799980598196265, 5.799980598196265]], "meas_lo_range": [[6.778403705000001, 7.778403705000001], [6.837870946000001, 7.837870946000001], [6.714724146, 7.714724146000001], [6.670601296, 7.670601296], [6.858364424, 7.858364424], [6.604986923, 7.604986923], [6.741873548, 7.741873548]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.13555173817207, "delta1": -2.1563927057817027, "delta2": -2.146430374895862, "delta3": -2.143302106510836, "delta4": -2.1315918993490253, "delta5": -2.1443842681217924, "delta6": -2.126003036762104, "jq0q1": 0.012286377631357464, "jq1q2": 0.012580420010373893, "jq1q3": 0.012895897946888989, "jq3q5": 0.012535018234570119, "jq4q5": 0.012857428747059304, "jq5q6": 0.01314290048759992, "omegad0": 0.9419548551363958, "omegad1": 0.9785373720570113, "omegad2": 0.9676568920580658, "omegad3": 0.9608238489856943, "omegad4": 0.9690710855391497, "omegad5": 0.985910107984504, "omegad6": 0.9593179968080039, "wq0": 32.90096672923938, "wq1": 31.50489839594133, "wq2": 32.09282125722916, "wq3": 32.53682449144974, "wq4": 32.756509474081135, "wq5": 31.81413532832917, "wq6": 33.30076022292364}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/johannesburg/conf_johannesburg.json b/qiskit/providers/fake_provider/backends/johannesburg/conf_johannesburg.json index 2f1edff99ddd..cad093a9f52d 100644 --- a/qiskit/providers/fake_provider/backends/johannesburg/conf_johannesburg.json +++ b/qiskit/providers/fake_provider/backends/johannesburg/conf_johannesburg.json @@ -1 +1 @@ -{"backend_name": "ibmq_johannesburg", "backend_version": "1.2.2", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]], "max_experiments": 900, "sample_name": "Hexbert", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Johannesburg", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 32, "qubit_channel_mapping": [["u2", "m0", "u10", "u1", "u0", "d0"], ["d1", "u2", "u4", "m1", "u0", "u3"], ["u4", "u5", "d2", "m2", "u6", "u3"], ["u5", "u8", "m3", "u6", "d3", "u7"], ["u20", "u8", "u9", "d4", "m4", "u7"], ["u10", "u1", "u12", "u11", "u23", "u13", "d5", "m5"], ["d6", "u11", "u15", "m6", "u13", "u14"], ["u28", "d7", "u15", "u17", "u16", "u18", "m7", "u14"], ["u18", "u16", "d8", "m8", "u19", "u21"], ["d9", "u9", "u22", "u33", "u19", "u21", "m9", "u20"], ["u24", "d10", "u12", "u25", "u23", "u26", "u36", "m10"], ["u24", "u29", "m11", "u26", "u27", "d11"], ["d12", "u28", "u29", "u31", "u30", "u17", "u27", "m12"], ["u31", "m13", "u32", "d13", "u30", "u34"], ["u44", "d14", "u32", "u35", "u22", "m14", "u33", "u34"], ["d15", "u38", "u25", "m15", "u37", "u36"], ["u39", "u38", "u40", "u37", "m16", "d16"], ["d17", "u42", "u39", "u41", "u40", "m17"], ["u43", "m18", "u41", "u45", "d18", "u42"], ["u44", "u43", "m19", "u45", "u35", "d19"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.164921219025063, 5.164921219025063], [4.26767163657472, 5.267671636574721], [4.118034101840273, 5.118034101840273], [4.522627765569717, 5.522627765569717], [4.155787513438005, 5.155787513438006], [4.245781392793495, 5.245781392793495], [4.331680271816184, 5.331680271816184], [4.205694167284576, 5.205694167284576], [4.398401743238063, 5.398401743238063], [4.240604573181179, 5.240604573181179], [4.341305536370641, 5.341305536370641], [4.257092566528682, 5.257092566528682], [4.1198621405375295, 5.11986214053753], [4.35394588640292, 5.35394588640292], [3.9012710955559924, 4.901271095555993], [4.193544830088672, 5.193544830088672], [4.012673616968253, 5.012673616968253], [4.224206493424603, 5.224206493424604], [3.835099848155013, 4.8350998481550125], [4.0862258365306365, 5.086225836530637]], "meas_lo_range": [[6.582440095000001, 7.582440095000001], [6.420965043000001, 7.420965043000001], [6.544025536, 7.544025536], [6.487596291, 7.487596291000001], [6.515162829, 7.515162829], [6.38843403, 7.388434030000001], [6.4791642540000005, 7.4791642540000005], [6.387542213000001, 7.387542213000001], [6.590439509, 7.590439509], [6.446428035, 7.446428035], [6.5559762710000005, 7.5559762710000005], [6.405573646000001, 7.405573646000001], [6.515604958000001, 7.515604958000001], [6.476179029000001, 7.476179029000001], [6.49972362, 7.49972362], [6.377593348, 7.377593348], [6.471263482, 7.471263482], [6.382423119, 7.382423119], [6.5805694180000005, 7.5805694180000005], [6.424848203000001, 7.424848203000001]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{10,15}(\\sigma_{10}^{+}\\sigma_{15}^{-}+\\sigma_{10}^{-}\\sigma_{15}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{4,9}(\\sigma_{4}^{+}\\sigma_{9}^{-}+\\sigma_{4}^{-}\\sigma_{9}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{14,19}(\\sigma_{14}^{+}\\sigma_{19}^{-}+\\sigma_{14}^{-}\\sigma_{19}^{+}) + J_{0,5}(\\sigma_{0}^{+}\\sigma_{5}^{-}+\\sigma_{0}^{-}\\sigma_{5}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,5)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,3)}(t)+U_{9}^{(4,9)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{10}^{(5,0)}(t)+U_{12}^{(5,10)}(t)+U_{11}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,7)}(t)+U_{19}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,4)}(t)+U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t)+U_{25}^{(10,15)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{27}^{(11,12)}(t)+U_{26}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{35}^{(14,19)}(t)+U_{34}^{(14,13)}(t)+U_{33}^{(14,9)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,10)}(t)+U_{37}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{43}^{(18,19)}(t)+U_{42}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t)+U_{44}^{(19,14)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq10q15*Sp10*Sm15", "jq10q15*Sm10*Sp15", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq4q9*Sp4*Sm9", "jq4q9*Sm4*Sp9", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq14q19*Sp14*Sm19", "jq14q19*Sm14*Sp19", "jq0q5*Sp0*Sm5", "jq0q5*Sm0*Sp5", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad5*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad3*X4||U8", "omegad9*X4||U9", "omegad0*X5||U10", "omegad10*X5||U12", "omegad6*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U18", "omegad9*X8||U19", "omegad4*X9||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad15*X10||U25", "omegad12*X11||U27", "omegad10*X11||U26", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad19*X14||U35", "omegad13*X14||U34", "omegad9*X14||U33", "omegad10*X15||U36", "omegad16*X15||U37", "omegad15*X16||U38", "omegad17*X16||U39", "omegad18*X17||U41", "omegad16*X17||U40", "omegad19*X18||U43", "omegad17*X18||U42", "omegad18*X19||U45", "omegad14*X19||U44"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": -1.9595410444058778, "delta1": -1.949227467535441, "delta10": -1.9277632034983183, "delta11": -1.951537780453071, "delta12": -1.954035777165354, "delta13": -1.936698259759179, "delta14": -1.996590319525422, "delta15": -1.9550408553182268, "delta16": -1.979157656817164, "delta17": -1.9562795494185063, "delta18": -1.9999153755727899, "delta19": -1.9670967022563894, "delta2": -1.9717557548384073, "delta3": -1.91418953690859, "delta4": -1.9622197635487055, "delta5": -1.9405131980833963, "delta6": -1.9394638730740144, "delta7": -1.9508511266053166, "delta8": -1.9310620368082367, "delta9": -1.9451578974491381, "jq0q1": 0.01165000883042051, "jq0q5": 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0.4468159243419114, "omegad18": 0.3558359911401286, "omegad19": 0.7250460377441188, "omegad2": 0.517034604054048, "omegad3": 0.7294003671279562, "omegad4": 0.29533721604047125, "omegad5": 0.5947160227723453, "omegad6": 0.5230840713510821, "omegad7": 1.1471892009354927, "omegad8": 0.5092007840898888, "omegad9": 0.4464300567174884, "wq0": 29.310564462528557, "wq1": 29.95616437638314, "wq10": 30.418819813691197, "wq11": 29.889694118906245, "wq12": 29.02744992262064, "wq13": 30.49824147529162, "wq14": 27.654001880511615, "wq15": 29.49041191500185, "wq16": 28.35396456623188, "wq17": 29.683064827567865, "wq18": 27.238235671084027, "wq19": 28.816106791496704, "wq2": 29.015964016737083, "wq3": 31.55810098005988, "wq4": 29.253175697783856, "wq5": 29.818623918286356, "wq6": 30.35834249286492, "wq7": 29.566748451963125, "wq8": 30.77756586177627, "wq9": 29.78609700136034}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file +{"backend_name": "ibmq_johannesburg", "backend_version": "1.2.2", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]], "max_experiments": 900, "sample_name": "Hexbert", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Johannesburg", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 32, "qubit_channel_mapping": [["u2", "m0", "u10", "u1", "u0", "d0"], ["d1", "u2", "u4", "m1", "u0", "u3"], ["u4", "u5", "d2", "m2", "u6", "u3"], ["u5", "u8", "m3", "u6", "d3", "u7"], ["u20", "u8", "u9", "d4", "m4", "u7"], ["u10", "u1", "u12", "u11", "u23", "u13", "d5", "m5"], ["d6", "u11", "u15", "m6", "u13", "u14"], ["u28", "d7", "u15", "u17", "u16", "u18", "m7", "u14"], ["u18", "u16", "d8", "m8", "u19", "u21"], ["d9", "u9", "u22", "u33", "u19", "u21", "m9", "u20"], ["u24", "d10", "u12", "u25", "u23", "u26", "u36", "m10"], ["u24", "u29", "m11", "u26", "u27", "d11"], ["d12", "u28", "u29", "u31", "u30", "u17", "u27", "m12"], ["u31", "m13", "u32", "d13", "u30", "u34"], ["u44", "d14", "u32", "u35", "u22", "m14", "u33", "u34"], ["d15", "u38", "u25", "m15", "u37", "u36"], ["u39", "u38", "u40", "u37", "m16", "d16"], ["d17", "u42", "u39", "u41", "u40", "m17"], ["u43", "m18", "u41", "u45", "d18", "u42"], ["u44", "u43", "m19", "u45", "u35", "d19"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.164921219025063, 5.164921219025063], [4.26767163657472, 5.267671636574721], [4.118034101840273, 5.118034101840273], [4.522627765569717, 5.522627765569717], [4.155787513438005, 5.155787513438006], [4.245781392793495, 5.245781392793495], [4.331680271816184, 5.331680271816184], [4.205694167284576, 5.205694167284576], [4.398401743238063, 5.398401743238063], [4.240604573181179, 5.240604573181179], [4.341305536370641, 5.341305536370641], [4.257092566528682, 5.257092566528682], [4.1198621405375295, 5.11986214053753], [4.35394588640292, 5.35394588640292], [3.9012710955559924, 4.901271095555993], [4.193544830088672, 5.193544830088672], [4.012673616968253, 5.012673616968253], [4.224206493424603, 5.224206493424604], [3.835099848155013, 4.8350998481550125], [4.0862258365306365, 5.086225836530637]], "meas_lo_range": [[6.582440095000001, 7.582440095000001], [6.420965043000001, 7.420965043000001], [6.544025536, 7.544025536], [6.487596291, 7.487596291000001], [6.515162829, 7.515162829], [6.38843403, 7.388434030000001], [6.4791642540000005, 7.4791642540000005], [6.387542213000001, 7.387542213000001], [6.590439509, 7.590439509], [6.446428035, 7.446428035], [6.5559762710000005, 7.5559762710000005], [6.405573646000001, 7.405573646000001], [6.515604958000001, 7.515604958000001], [6.476179029000001, 7.476179029000001], [6.49972362, 7.49972362], [6.377593348, 7.377593348], [6.471263482, 7.471263482], [6.382423119, 7.382423119], [6.5805694180000005, 7.5805694180000005], [6.424848203000001, 7.424848203000001]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{10,15}(\\sigma_{10}^{+}\\sigma_{15}^{-}+\\sigma_{10}^{-}\\sigma_{15}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{4,9}(\\sigma_{4}^{+}\\sigma_{9}^{-}+\\sigma_{4}^{-}\\sigma_{9}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{14,19}(\\sigma_{14}^{+}\\sigma_{19}^{-}+\\sigma_{14}^{-}\\sigma_{19}^{+}) + J_{0,5}(\\sigma_{0}^{+}\\sigma_{5}^{-}+\\sigma_{0}^{-}\\sigma_{5}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,5)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,3)}(t)+U_{9}^{(4,9)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{10}^{(5,0)}(t)+U_{12}^{(5,10)}(t)+U_{11}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,7)}(t)+U_{19}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,4)}(t)+U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t)+U_{25}^{(10,15)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{27}^{(11,12)}(t)+U_{26}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{35}^{(14,19)}(t)+U_{34}^{(14,13)}(t)+U_{33}^{(14,9)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,10)}(t)+U_{37}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{43}^{(18,19)}(t)+U_{42}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t)+U_{44}^{(19,14)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq10q15*Sp10*Sm15", "jq10q15*Sm10*Sp15", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq4q9*Sp4*Sm9", "jq4q9*Sm4*Sp9", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq14q19*Sp14*Sm19", "jq14q19*Sm14*Sp19", "jq0q5*Sp0*Sm5", "jq0q5*Sm0*Sp5", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad5*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad3*X4||U8", "omegad9*X4||U9", "omegad0*X5||U10", "omegad10*X5||U12", "omegad6*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U18", "omegad9*X8||U19", "omegad4*X9||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad15*X10||U25", "omegad12*X11||U27", "omegad10*X11||U26", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad19*X14||U35", "omegad13*X14||U34", "omegad9*X14||U33", "omegad10*X15||U36", "omegad16*X15||U37", "omegad15*X16||U38", "omegad17*X16||U39", "omegad18*X17||U41", "omegad16*X17||U40", "omegad19*X18||U43", "omegad17*X18||U42", "omegad18*X19||U45", "omegad14*X19||U44"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": -1.9595410444058778, "delta1": -1.949227467535441, "delta10": -1.9277632034983183, "delta11": -1.951537780453071, "delta12": -1.954035777165354, "delta13": -1.936698259759179, "delta14": -1.996590319525422, "delta15": -1.9550408553182268, "delta16": -1.979157656817164, "delta17": -1.9562795494185063, "delta18": -1.9999153755727899, "delta19": -1.9670967022563894, "delta2": -1.9717557548384073, "delta3": -1.91418953690859, "delta4": -1.9622197635487055, "delta5": -1.9405131980833963, "delta6": -1.9394638730740144, "delta7": -1.9508511266053166, "delta8": -1.9310620368082367, "delta9": -1.9451578974491381, "jq0q1": 0.01165000883042051, "jq0q5": 0.01090137039438855, "jq10q11": 0.009953130174988126, "jq10q15": 0.011178132032313309, "jq11q12": 0.01119529384497567, "jq12q13": 0.010926874575825833, "jq13q14": 0.008839027682512634, "jq14q19": 0.005906935382169082, "jq15q16": 0.008170812215155107, "jq16q17": 0.008936845699913388, "jq17q18": 0.0065939192074518016, "jq18q19": 0.008316829171304418, "jq1q2": 0.009304186530530292, "jq2q3": 0.010016526854757495, "jq3q4": 0.011564417919863621, "jq4q9": 0.007652641499900911, "jq5q10": 0.009156054909538264, "jq5q6": 0.011354318590160483, "jq6q7": 0.009817641381470246, "jq7q12": 0.007832804863343184, "jq7q8": 0.010656556603735151, "jq8q9": 0.015572128135808364, "jq9q14": 0.007173673019762889, "omegad0": 0.5373937969901226, "omegad1": 1.2303988003432567, "omegad10": 0.5231970207516857, "omegad11": 0.4751749740016644, "omegad12": 0.4282441011867268, "omegad13": 0.5633169070339409, "omegad14": 0.8335815405628025, "omegad15": 0.427903761218051, "omegad16": 0.39233556413111476, "omegad17": 0.4468159243419114, "omegad18": 0.3558359911401286, "omegad19": 0.7250460377441188, "omegad2": 0.517034604054048, "omegad3": 0.7294003671279562, "omegad4": 0.29533721604047125, "omegad5": 0.5947160227723453, "omegad6": 0.5230840713510821, "omegad7": 1.1471892009354927, "omegad8": 0.5092007840898888, "omegad9": 0.4464300567174884, "wq0": 29.310564462528557, "wq1": 29.95616437638314, "wq10": 30.418819813691197, "wq11": 29.889694118906245, "wq12": 29.02744992262064, "wq13": 30.49824147529162, "wq14": 27.654001880511615, "wq15": 29.49041191500185, "wq16": 28.35396456623188, "wq17": 29.683064827567865, "wq18": 27.238235671084027, "wq19": 28.816106791496704, "wq2": 29.015964016737083, "wq3": 31.55810098005988, "wq4": 29.253175697783856, "wq5": 29.818623918286356, "wq6": 30.35834249286492, "wq7": 29.566748451963125, "wq8": 30.77756586177627, "wq9": 29.78609700136034}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/kolkata/conf_kolkata.json b/qiskit/providers/fake_provider/backends/kolkata/conf_kolkata.json index b20086ee82e6..158c0790e8b2 100644 --- a/qiskit/providers/fake_provider/backends/kolkata/conf_kolkata.json +++ b/qiskit/providers/fake_provider/backends/kolkata/conf_kolkata.json @@ -1 +1 @@ -{"backend_name": "ibmq_kolkata", "backend_version": "1.9.9", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["u3", "rz", "u1", "id", "shiftf", "reset", "play", "x", "sx", "cx", "setf", "acquire", "delay", "u2", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 99.99999999999999, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2020-11-13T05:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 5.11}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2029, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 128, "qubit_channel_mapping": [["d0", "u1", "m0", "u0"], ["u3", "u1", "d1", "u4", "m1", "u0", "u8", "u2"], ["m2", "u5", "u4", "d2", "u6", "u2"], ["d3", "u7", "m3", "u10", "u5", "u6"], ["u3", "u13", "d4", "m4", "u9", "u8"], ["m5", "u16", "u7", "u10", "u11", "d5"], ["u12", "m6", "d6", "u14"], ["d7", "u13", "u12", "u15", "u14", "u9", "m7", "u20"], ["u17", "u16", "u19", "u18", "u22", "u11", "d8", "m8"], ["u17", "d9", "m9", "u19"], ["m10", "u15", "u24", "d10", "u21", "u20"], ["d11", "u23", "m11", "u22", "u29", "u18"], ["u26", "u25", "d12", "u27", "m12", "u24", "u21", "u32"], ["u30", "u25", "u28", "d13", "u27", "m13"], ["u31", "u34", "u30", "u23", "u28", "m14", "u29", "d14"], ["u26", "u33", "u37", "d15", "m15", "u32"], ["m16", "u35", "u31", "u34", "u40", "d16"], ["u36", "m17", "u38", "d17"], ["m18", "u33", "u37", "d18", "u44", "u36", "u38", "u39"], ["u35", "u40", "d19", "u43", "u46", "u42", "u41", "m19"], ["u41", "m20", "d20", "u43"], ["u48", "u45", "m21", "u44", "u39", "d21"], ["u47", "m22", "u46", "u52", "d22", "u42"], ["u48", "u50", "u45", "d23", "u49", "m23"], ["u50", "u53", "m24", "u49", "u51", "d24"], ["u53", "u47", "u54", "m25", "u52", "u51", "d25", "u55"], ["d26", "u54", "u55", "m26"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.697014684486581, 5.697014684486581], [4.490236455289559, 5.490236455289559], [4.6145227984706185, 5.6145227984706185], [4.368606075950284, 5.368606075950284], [4.718943206275887, 5.718943206275888], [4.601962303587672, 5.601962303587672], [4.703301633545907, 5.703301633545907], [4.520896574537371, 5.520896574537371], [4.461524330798057, 5.461524330798057], [4.556155294643585, 5.556155294643585], [4.67790919213833, 5.67790919213833], [4.380027668400823, 5.380027668400823], [4.464413829911942, 5.464413829911942], [4.519398570139614, 5.519398570139614], [4.624071537911062, 5.624071537911062], [4.5305693055095775, 5.5305693055095775], [4.717775456339411, 5.717775456339411], [4.736997575941986, 5.736997575941986], [4.590741382333023, 5.590741382333023], [4.498758755383135, 5.498758755383135], [4.6914136397385455, 5.6914136397385455], [4.767953657777476, 5.767953657777476], [4.617380403231038, 5.617380403231038], [4.635366316276837, 5.635366316276837], [4.502290322159827, 5.502290322159827], [4.42026785603138, 5.42026785603138], [4.615705351094058, 5.615705351094058]], "meas_lo_range": [[6.689877422, 7.689877422], [6.801174925000001, 7.801174925000001], [6.672383842, 7.672383842], [6.793342708000001, 7.793342708000001], [6.749041411, 7.749041411], [6.740717093000001, 7.740717093000001], [6.860577345, 7.860577345], [6.616007450000001, 7.616007450000001], [6.611362039, 7.611362039], [6.8500161120000005, 7.8500161120000005], [6.672019570000001, 7.672019570000001], [6.739310762000001, 7.739310762000001], [6.847446730000001, 7.847446730000001], [6.738910709000001, 7.738910709000001], [6.789247259000001, 7.789247259000001], [6.795756861, 7.795756861], [6.668119982, 7.668119982], [6.858548262, 7.858548262], [6.606233968000001, 7.606233968000001], [6.609263501, 7.609263501], [6.853006668000001, 7.853006668000001], [6.744295074, 7.744295074], [6.73763847, 7.73763847], [6.808270774, 7.808270774], [6.676267055, 7.676267055], [6.793664723, 7.793664723000001], [6.679754427000001, 7.679754427000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) \\\\ & + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1385262701743004, "delta1": -2.1697615511070043, "delta10": -2.1439825590474744, "delta11": -2.363944696062092, "delta12": -2.1804486107091927, "delta13": -2.162212209752135, "delta14": -2.1495576507529583, "delta15": -2.1657506775735853, "delta16": -2.1350607475035726, "delta17": -2.139614408273987, "delta18": -2.1544888746894078, "delta19": -2.162648875464239, "delta2": -2.1536216417571183, "delta20": -2.1388367110471638, "delta21": -2.1334889223489273, "delta22": -2.152463888575967, "delta23": -2.1548939512813714, "delta24": -2.163510703505256, "delta25": -2.1710401785162166, "delta26": -2.142975553612154, "delta3": -2.174159311734136, "delta4": -2.1383030628827844, "delta5": -2.158978124931649, "delta6": -2.1474978000071694, "delta7": -2.160319101372248, "delta8": -2.1806086288086326, "delta9": -2.1623967888385813, "jq0q1": 0.01277267566011936, "jq10q12": 0.012640677496178952, "jq11q14": 0.011073766085990418, "jq12q13": 0.012287350117267733, "jq12q15": 0.011737953831692195, "jq13q14": 0.012835036546816617, "jq14q16": 0.01264330978437713, "jq15q18": 0.012118237357519036, "jq16q19": 0.012274505226454525, "jq17q18": 0.012930648627951164, "jq18q21": 0.013245200369681139, "jq19q20": 0.012497722965751024, "jq19q22": 0.012829394976160495, "jq1q2": 0.01288772555536437, "jq1q4": 0.012409253375160034, "jq21q23": 0.01323665016336818, "jq22q25": 0.012240125752598223, "jq23q24": 0.01251648064042789, "jq24q25": 0.01222004749554479, "jq25q26": 0.012420091829825893, "jq2q3": 0.012521996702213838, "jq3q5": 0.012522477103289029, "jq4q7": 0.01300253734456207, "jq5q8": 0.012655981692266694, "jq6q7": 0.012764118228331744, "jq7q10": 0.01240356580274422, "jq8q11": 0.009571717025818108, "jq8q9": 0.012424471476800359, "omegad0": 1.0545671223178257, "omegad1": 1.1215605026969069, "omegad10": 1.0464405773992893, "omegad11": 1.4914757649037036, "omegad12": 0.8705318834282038, "omegad13": 1.0588885963573778, "omegad14": 0.9469066682461911, "omegad15": 1.0065178309526523, "omegad16": 0.928066851998859, "omegad17": 1.017790168566013, "omegad18": 1.0110895961442705, "omegad19": 1.0877299647378649, "omegad2": 1.003017122153025, "omegad20": 0.9706301075641576, "omegad21": 1.015756811559289, "omegad22": 1.1466347809433544, 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{"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_kolkata", "backend_version": "1.9.9", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], 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[{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.697014684486581, 5.697014684486581], [4.490236455289559, 5.490236455289559], [4.6145227984706185, 5.6145227984706185], [4.368606075950284, 5.368606075950284], [4.718943206275887, 5.718943206275888], [4.601962303587672, 5.601962303587672], [4.703301633545907, 5.703301633545907], [4.520896574537371, 5.520896574537371], [4.461524330798057, 5.461524330798057], [4.556155294643585, 5.556155294643585], [4.67790919213833, 5.67790919213833], [4.380027668400823, 5.380027668400823], [4.464413829911942, 5.464413829911942], [4.519398570139614, 5.519398570139614], [4.624071537911062, 5.624071537911062], [4.5305693055095775, 5.5305693055095775], [4.717775456339411, 5.717775456339411], [4.736997575941986, 5.736997575941986], [4.590741382333023, 5.590741382333023], [4.498758755383135, 5.498758755383135], [4.6914136397385455, 5.6914136397385455], [4.767953657777476, 5.767953657777476], [4.617380403231038, 5.617380403231038], [4.635366316276837, 5.635366316276837], [4.502290322159827, 5.502290322159827], [4.42026785603138, 5.42026785603138], [4.615705351094058, 5.615705351094058]], "meas_lo_range": [[6.689877422, 7.689877422], [6.801174925000001, 7.801174925000001], [6.672383842, 7.672383842], [6.793342708000001, 7.793342708000001], [6.749041411, 7.749041411], [6.740717093000001, 7.740717093000001], [6.860577345, 7.860577345], [6.616007450000001, 7.616007450000001], [6.611362039, 7.611362039], [6.8500161120000005, 7.8500161120000005], [6.672019570000001, 7.672019570000001], [6.739310762000001, 7.739310762000001], [6.847446730000001, 7.847446730000001], [6.738910709000001, 7.738910709000001], [6.789247259000001, 7.789247259000001], [6.795756861, 7.795756861], [6.668119982, 7.668119982], [6.858548262, 7.858548262], [6.606233968000001, 7.606233968000001], [6.609263501, 7.609263501], [6.853006668000001, 7.853006668000001], [6.744295074, 7.744295074], [6.73763847, 7.73763847], [6.808270774, 7.808270774], [6.676267055, 7.676267055], [6.793664723, 7.793664723000001], [6.679754427000001, 7.679754427000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) \\\\ & + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1385262701743004, "delta1": -2.1697615511070043, "delta10": -2.1439825590474744, "delta11": -2.363944696062092, "delta12": -2.1804486107091927, "delta13": -2.162212209752135, "delta14": -2.1495576507529583, "delta15": -2.1657506775735853, "delta16": -2.1350607475035726, "delta17": -2.139614408273987, "delta18": -2.1544888746894078, "delta19": -2.162648875464239, "delta2": -2.1536216417571183, "delta20": -2.1388367110471638, "delta21": -2.1334889223489273, "delta22": -2.152463888575967, "delta23": -2.1548939512813714, "delta24": -2.163510703505256, "delta25": -2.1710401785162166, "delta26": -2.142975553612154, "delta3": -2.174159311734136, "delta4": -2.1383030628827844, "delta5": -2.158978124931649, "delta6": -2.1474978000071694, "delta7": -2.160319101372248, "delta8": -2.1806086288086326, "delta9": -2.1623967888385813, "jq0q1": 0.01277267566011936, "jq10q12": 0.012640677496178952, "jq11q14": 0.011073766085990418, "jq12q13": 0.012287350117267733, "jq12q15": 0.011737953831692195, "jq13q14": 0.012835036546816617, "jq14q16": 0.01264330978437713, "jq15q18": 0.012118237357519036, "jq16q19": 0.012274505226454525, "jq17q18": 0.012930648627951164, "jq18q21": 0.013245200369681139, "jq19q20": 0.012497722965751024, "jq19q22": 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31.54722358600153, "wq8": 31.17417677648438, "wq9": 31.768760658122847}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/lagos/conf_lagos.json b/qiskit/providers/fake_provider/backends/lagos/conf_lagos.json index da3f8a63faee..ed363c66999a 100644 --- a/qiskit/providers/fake_provider/backends/lagos/conf_lagos.json +++ b/qiskit/providers/fake_provider/backends/lagos/conf_lagos.json @@ -1 +1 @@ -{"backend_name": "ibm_lagos", "backend_version": "1.0.1", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["u1", "shiftf", "measure", "sx", "id", "u2", "acquire", "play", "cx", "u3", "setf", "delay", "rz", "x", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u1", "u2", "u5", "m1", "u4", "d1", "u3", "u0"], ["d2", "u4", "m2", "u2"], ["d3", "m3", "u8", "u5", "u6", "u3"], ["u9", "d4", "u7", "m4"], ["u11", "u9", "u8", "u6", "d5", "u10", "u7", "m5"], ["m6", "u10", "u11", "d6"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.735301508394165, 5.735301508394165], [4.599410549133616, 5.599410549133616], [4.687830933005698, 5.687830933005698], [4.4868387914029295, 5.4868387914029295], [4.7852898354886, 5.7852898354886], [4.676813560910366, 5.676813560910366], [4.564097104086692, 5.564097104086692]], "meas_lo_range": [[6.806993723000001, 7.806993723000001], [6.866489148, 7.866489148], [6.748953509000001, 7.748953509000001], [6.684038360000001, 7.684038360000001], [6.7518461080000005, 7.7518461080000005], [6.632982175, 7.632982175], [6.871521128, 7.871521128]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.135448211388058, "delta1": -2.1566933305718665, "delta2": -2.1484200387398324, "delta3": -2.1695391887452047, "delta4": -2.131471764687337, "delta5": -2.141265397292608, "delta6": -2.153614325215714, "jq0q1": 0.010831998513773207, "jq1q2": 0.02077489584260659, "jq1q3": 0.020226061098486434, "jq3q5": 0.014737334497554324, "jq4q5": 0.021340795550115622, "jq5q6": 0.02035402773365448, "omegad0": 0.9784751073523432, "omegad1": 0.9561856872793478, "omegad2": 0.9761888274104754, "omegad3": 0.8636715252899893, "omegad4": 1.0666961091353326, "omegad5": 0.9658656797587385, "omegad6": 0.9329142717450424, "wq0": 32.89436951619734, "wq1": 32.04054143759292, "wq2": 32.596103094393165, "wq3": 31.333232223416093, "wq4": 33.20845543852759, "wq5": 32.52687890392006, "wq6": 31.818660518528194}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_lagos", "backend_version": "1.0.1", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["u1", "shiftf", "measure", "sx", "id", "u2", "acquire", "play", "cx", "u3", "setf", "delay", "rz", "x", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["m0", "u1", "d0", "u0"], ["u1", "u2", "u5", "m1", "u4", "d1", "u3", "u0"], ["d2", "u4", "m2", "u2"], ["d3", "m3", "u8", "u5", "u6", "u3"], ["u9", "d4", "u7", "m4"], ["u11", "u9", "u8", "u6", "d5", "u10", "u7", "m5"], ["m6", "u10", "u11", "d6"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.735301508394165, 5.735301508394165], [4.599410549133616, 5.599410549133616], [4.687830933005698, 5.687830933005698], [4.4868387914029295, 5.4868387914029295], [4.7852898354886, 5.7852898354886], [4.676813560910366, 5.676813560910366], [4.564097104086692, 5.564097104086692]], "meas_lo_range": [[6.806993723000001, 7.806993723000001], [6.866489148, 7.866489148], [6.748953509000001, 7.748953509000001], [6.684038360000001, 7.684038360000001], [6.7518461080000005, 7.7518461080000005], [6.632982175, 7.632982175], [6.871521128, 7.871521128]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.135448211388058, "delta1": -2.1566933305718665, "delta2": -2.1484200387398324, "delta3": -2.1695391887452047, "delta4": -2.131471764687337, "delta5": -2.141265397292608, "delta6": -2.153614325215714, "jq0q1": 0.010831998513773207, "jq1q2": 0.02077489584260659, "jq1q3": 0.020226061098486434, "jq3q5": 0.014737334497554324, "jq4q5": 0.021340795550115622, "jq5q6": 0.02035402773365448, "omegad0": 0.9784751073523432, "omegad1": 0.9561856872793478, "omegad2": 0.9761888274104754, "omegad3": 0.8636715252899893, "omegad4": 1.0666961091353326, "omegad5": 0.9658656797587385, "omegad6": 0.9329142717450424, "wq0": 32.89436951619734, "wq1": 32.04054143759292, "wq2": 32.596103094393165, "wq3": 31.333232223416093, "wq4": 33.20845543852759, "wq5": 32.52687890392006, "wq6": 31.818660518528194}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/lima/conf_lima.json b/qiskit/providers/fake_provider/backends/lima/conf_lima.json index a23aa8a4418b..7573f17913a9 100644 --- a/qiskit/providers/fake_provider/backends/lima/conf_lima.json +++ b/qiskit/providers/fake_provider/backends/lima/conf_lima.json @@ -1 +1 @@ -{"backend_name": "ibmq_lima", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Lima", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.591790567452985]], "meas_lo_range": [[6.925143125000001, 7.925143125000001], [6.721646720000001, 7.721646720000001], [6.971842939, 7.971842939], [6.865317232000001, 7.865317232000001], [6.919067567000001, 7.919067567000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436342, "jq1q3": 0.011913891984976947, "jq3q4": 0.011656329753118028, "omegad0": 1.5262727915514442, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.60244634701445, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656204}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_lima", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Lima", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.591790567452985]], "meas_lo_range": [[6.925143125000001, 7.925143125000001], [6.721646720000001, 7.721646720000001], [6.971842939, 7.971842939], [6.865317232000001, 7.865317232000001], [6.919067567000001, 7.919067567000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436342, "jq1q3": 0.011913891984976947, "jq3q4": 0.011656329753118028, "omegad0": 1.5262727915514442, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.60244634701445, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656204}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/london/conf_london.json b/qiskit/providers/fake_provider/backends/london/conf_london.json index 8d42a52fc078..7c887e6f7c6d 100644 --- a/qiskit/providers/fake_provider/backends/london/conf_london.json +++ b/qiskit/providers/fake_provider/backends/london/conf_london.json @@ -1 +1 @@ -{"backend_name": "ibmq_london", "backend_version": "1.1.3", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "5 qubit device London", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "quantum_volume": 16, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_london", "backend_version": "1.1.3", "n_qubits": 5, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, 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[{"q": 51, "scale": [1.0, 0.0]}], [{"q": 64, "scale": [1.0, 0.0]}], [{"q": 56, "scale": [1.0, 0.0]}], [{"q": 52, "scale": [1.0, 0.0]}], [{"q": 55, "scale": [1.0, 0.0]}], [{"q": 57, "scale": [1.0, 0.0]}], [{"q": 56, "scale": [1.0, 0.0]}], [{"q": 58, "scale": [1.0, 0.0]}], [{"q": 57, "scale": [1.0, 0.0]}], [{"q": 59, "scale": [1.0, 0.0]}], [{"q": 58, "scale": [1.0, 0.0]}], [{"q": 60, "scale": [1.0, 0.0]}], [{"q": 53, "scale": [1.0, 0.0]}], [{"q": 59, "scale": [1.0, 0.0]}], [{"q": 61, "scale": [1.0, 0.0]}], [{"q": 60, "scale": [1.0, 0.0]}], [{"q": 62, "scale": [1.0, 0.0]}], [{"q": 61, "scale": [1.0, 0.0]}], [{"q": 63, "scale": [1.0, 0.0]}], [{"q": 62, "scale": [1.0, 0.0]}], [{"q": 64, "scale": [1.0, 0.0]}], [{"q": 54, "scale": [1.0, 0.0]}], [{"q": 63, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.338199292329928, 5.338199292329928], [4.181079850059284, 5.181079850059285], [4.446567152986136, 5.446567152986136], [4.265702381191529, 5.26570238119153], [4.210174402274003, 5.210174402274004], [4.0742586806431405, 5.074258680643141], [4.258335879144529, 5.258335879144529], [4.1301572265361095, 5.13015722653611], [4.278073011281127, 5.278073011281127], [4.429226684882586, 5.429226684882586], [4.1882477397327, 5.188247739732699], [4.263916036527659, 5.26391603652766], [4.439146435987138, 5.439146435987138], [4.3402184495701395, 5.3402184495701395], [4.132068937267222, 5.132068937267222], [4.302977827993597, 5.302977827993597], [4.149011384195982, 5.149011384195982], [4.377030200025756, 5.377030200025756], [4.317097700634536, 5.317097700634536], [4.498804443113605, 5.498804443113605], [4.342875717013101, 5.342875717013101], [4.279518084570574, 5.279518084570574], [4.434832877329613, 5.4348328773296135], [4.297138482315077, 5.297138482315077], [4.512299442850769, 5.512299442850769], [4.3594615936731484, 5.3594615936731484], [4.220574634752201, 5.220574634752201], [4.299698127702288, 5.299698127702288], [4.395831504247881, 5.395831504247881], [4.2857172759391355, 5.2857172759391355], [4.3902466093765575, 5.3902466093765575], [4.529858292382482, 5.529858292382482], [4.397998816816396, 5.397998816816396], [4.146788172239584, 5.146788172239584], [4.28069234609496, 5.280692346094961], [4.197386239085189, 5.197386239085189], [4.470755283802755, 5.470755283802755], [4.310974498059959, 5.310974498059959], [4.470007802677981, 5.470007802677981], [4.299602854088502, 5.299602854088502], [4.044897722453877, 5.044897722453877], [4.301370424204167, 5.301370424204167], [4.162962840757548, 5.162962840757548], [4.263564862755007, 5.263564862755007], [4.1831080539502, 5.183108053950201], [4.430679773731664, 5.430679773731664], [4.298993675928296, 5.298993675928296], [4.385343473172852, 5.385343473172852], [4.257699679556234, 5.257699679556234], [4.161078764196008, 5.161078764196008], [4.282098226285895, 5.282098226285895], [4.387046481414399, 5.387046481414399], [4.398885526524533, 5.398885526524533], [4.177359460157056, 5.1773594601570565], [4.202646307398041, 5.202646307398041], [4.381456877562824, 5.381456877562824], [4.2943588275790345, 5.2943588275790345], [4.118145099049053, 5.118145099049053], [4.284325372266449, 5.284325372266449], [4.42453611051135, 5.42453611051135], [4.277004307218613, 5.277004307218613], [4.141170220128333, 5.141170220128333], [4.325545846780799, 5.325545846780799], [4.197936744857891, 5.19793674485789], [4.332127255575972, 5.332127255575972]], "meas_lo_range": [[6.931025529, 7.931025529], [6.879874726000001, 7.879874726000001], [6.638627748, 7.638627748], [6.681994455000001, 7.681994455000001], [6.5221852920000005, 7.5221852920000005], [6.460853729, 7.460853729], [6.2927068340000005, 7.2927068340000005], [6.3600016020000005, 7.3600016020000005], [6.517050903, 7.517050903], [6.718009384, 7.718009384], [6.870179514, 7.870179514], [6.458636107, 7.458636107], [6.693552706, 7.693552706], [6.631549006, 7.631549006], [6.928378636000001, 7.928378636000001], [6.676242997, 7.676242997], [6.521403595000001, 7.521403595000001], [6.289957714000001, 7.289957714000001], [6.356367905000001, 7.356367905000001], [6.300277277, 7.300277277], [6.467915565, 7.467915565], [6.646531816, 7.646531816], [6.9342497430000005, 7.9342497430000005], [6.880085327000001, 7.880085327000001], [6.868122685, 7.868122685], [6.359533369, 7.359533369], [6.93217844, 7.93217844], [6.868515655, 7.868515655], [6.927551477000001, 7.927551477000001], [6.629408899, 7.629408899], [6.454263974000001, 7.454263974000001], [6.286364894, 7.286364894], [6.350919721, 7.350919721], [6.296352158, 7.296352158], [6.474964832, 7.474964832], [6.64500178, 7.64500178], [6.52225504, 7.52225504], [6.694787539, 7.694787539000001], [6.930048094, 7.930048094000001], [6.345262845000001, 7.345262845000001], [6.879626475, 7.879626475], [6.628710603, 7.628710603], [6.67428775, 7.67428775], [6.513314066, 7.513314066], [6.286084336, 7.286084336], [6.34421148, 7.34421148], [6.293781267, 7.293781267000001], [6.513382054, 7.513382054], [6.690925480000001, 7.690925480000001], [6.931663423000001, 7.931663423000001], [6.866626485, 7.866626485], [6.639155921, 7.639155921], [6.451296806, 7.451296806], [6.456312318, 7.456312318], [6.680874138, 7.680874138], [6.669836136000001, 7.669836136000001], [6.516555709, 7.516555709], [6.347017688, 7.347017688], [6.287395125000001, 7.287395125000001], [6.350764691, 7.350764691], [6.518512532000001, 7.518512532000001], [6.455724581, 7.455724581], [6.642298407, 7.642298407], [6.867582168, 7.867582168], [6.924685138, 7.924685138]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{64}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) \\\\ & + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) \\\\ & + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) \\\\ & + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) \\\\ & + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) \\\\ & + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,4)}(t)+U_{12}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,12)}(t)+U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,0)}(t)+U_{22}^{(10,13)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{31}^{(15,14)}(t)+U_{32}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t)+U_{36}^{(17,11)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{40}^{(18,19)}(t)+U_{39}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{41}^{(19,18)}(t)+U_{43}^{(19,25)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t)+U_{48}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{52}^{(23,26)}(t)+U_{51}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{53}^{(24,15)}(t)+U_{54}^{(24,29)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{60}^{(27,38)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{62}^{(28,29)}(t)+U_{61}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,24)}(t)+U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{70}^{(31,39)}(t)+U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{74}^{(33,32)}(t)+U_{75}^{(33,34)}(t)+U_{73}^{(33,25)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{76}^{(34,33)}(t)+U_{77}^{(34,35)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t)+U_{80}^{(35,40)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{89}^{(40,35)}(t)+U_{90}^{(40,49)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{92}^{(41,42)}(t)+U_{91}^{(41,38)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{97}^{(43,52)}(t)+U_{95}^{(43,42)}(t)+U_{96}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{98}^{(44,43)}(t)+U_{99}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{101}^{(45,44)}(t)+U_{100}^{(45,39)}(t)+U_{102}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,45)}(t)+U_{104}^{(46,47)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{105}^{(47,46)}(t)+U_{107}^{(47,53)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{109}^{(48,49)}(t)+U_{108}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{111}^{(49,48)}(t)+U_{110}^{(49,40)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{114}^{(50,51)}(t)+U_{113}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,47)}(t)+U_{120}^{(53,60)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t)+U_{125}^{(56,55)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{127}^{(57,56)}(t)+U_{128}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{131}^{(59,58)}(t)+U_{132}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{134}^{(60,59)}(t)+U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{140}^{(63,62)}(t)+U_{141}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "omegad1*X0||U0", "omegad10*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad4*X5||U11", "omegad6*X5||U12", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X8||U19", "omegad9*X8||U18", "omegad7*X8||U17", "omegad8*X9||U20", "omegad0*X10||U21", "omegad13*X10||U22", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad14*X15||U31", "omegad16*X15||U32", "omegad15*X16||U34", "omegad17*X16||U35", "omegad18*X17||U38", "omegad16*X17||U37", "omegad11*X17||U36", "omegad19*X18||U40", "omegad17*X18||U39", "omegad18*X19||U41", "omegad25*X19||U43", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad20*X21||U47", "omegad12*X21||U46", "omegad22*X21||U48", "omegad23*X22||U50", "omegad21*X22||U49", "omegad26*X23||U52", "omegad22*X23||U51", "omegad15*X24||U53", "omegad29*X24||U54", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad28*X27||U59", "omegad38*X27||U60", "omegad29*X28||U62", "omegad27*X28||U61", "omegad24*X29||U63", "omegad30*X29||U65", "omegad28*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad39*X31||U70", "omegad30*X31||U68", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad32*X33||U74", "omegad34*X33||U75", "omegad25*X33||U73", "omegad33*X34||U76", "omegad35*X34||U77", "omegad36*X35||U79", "omegad34*X35||U78", "omegad40*X35||U80", "omegad37*X36||U82", "omegad35*X36||U81", "omegad26*X37||U83", "omegad36*X37||U84", "omegad41*X38||U86", "omegad27*X38||U85", "omegad45*X39||U88", "omegad31*X39||U87", "omegad35*X40||U89", "omegad49*X40||U90", "omegad42*X41||U92", "omegad38*X41||U91", "omegad43*X42||U94", "omegad41*X42||U93", "omegad52*X43||U97", "omegad42*X43||U95", "omegad44*X43||U96", "omegad43*X44||U98", "omegad45*X44||U99", "omegad44*X45||U101", "omegad39*X45||U100", "omegad46*X45||U102", "omegad45*X46||U103", "omegad47*X46||U104", "omegad48*X47||U106", "omegad46*X47||U105", "omegad53*X47||U107", "omegad49*X48||U109", "omegad47*X48||U108", "omegad48*X49||U111", "omegad40*X49||U110", "omegad50*X49||U112", "omegad51*X50||U114", "omegad49*X50||U113", "omegad50*X51||U115", "omegad54*X51||U116", "omegad56*X52||U118", "omegad43*X52||U117", "omegad47*X53||U119", "omegad60*X53||U120", "omegad64*X54||U122", "omegad51*X54||U121", "omegad56*X55||U123", "omegad57*X56||U126", "omegad52*X56||U124", "omegad55*X56||U125", "omegad56*X57||U127", "omegad58*X57||U128", "omegad59*X58||U130", "omegad57*X58||U129", "omegad58*X59||U131", "omegad60*X59||U132", "omegad59*X60||U134", "omegad61*X60||U135", "omegad53*X60||U133", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad61*X62||U138", "omegad62*X63||U140", "omegad64*X63||U141", "omegad63*X64||U143", "omegad54*X64||U142"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3}, "vars": {"delta0": -2.082409528201026, "delta1": -2.1086921539032963, 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-2.090461562335228, "delta4": -2.093628492226991, "delta40": -2.1306861202665175, "delta41": -2.0865518970755175, "delta42": -2.1152611176603004, "delta43": -2.0741726061075876, "delta44": -2.093082321475129, "delta45": -2.0852396753607954, "delta46": -2.0829304635141854, "delta47": -2.0805355428201646, "delta48": -2.092295634525706, "delta49": -2.0728983053097103, "delta5": -2.1076108858437412, "delta50": -2.086811512231418, "delta51": -2.078875458274717, "delta52": -2.0847345667675286, "delta53": -2.1037851661025484, "delta54": -2.1066228812119174, "delta55": -2.0775332501812054, "delta56": -2.0867337957738656, "delta57": -2.120641152499985, "delta58": -2.0857399265225287, "delta59": -2.0776063293835523, "delta6": -2.0896935883297525, "delta60": -2.08902215551072, "delta61": -2.1160016078860915, "delta62": -2.089117798373012, "delta63": -2.106330758762709, "delta64": -2.0904696827337426, "delta7": -2.1008931274144858, "delta8": -2.09572226614486, "delta9": -2.081885599010024, 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[6.879874726000001, 7.879874726000001], [6.638627748, 7.638627748], [6.681994455000001, 7.681994455000001], [6.5221852920000005, 7.5221852920000005], [6.460853729, 7.460853729], [6.2927068340000005, 7.2927068340000005], [6.3600016020000005, 7.3600016020000005], [6.517050903, 7.517050903], [6.718009384, 7.718009384], [6.870179514, 7.870179514], [6.458636107, 7.458636107], [6.693552706, 7.693552706], [6.631549006, 7.631549006], [6.928378636000001, 7.928378636000001], [6.676242997, 7.676242997], [6.521403595000001, 7.521403595000001], [6.289957714000001, 7.289957714000001], [6.356367905000001, 7.356367905000001], [6.300277277, 7.300277277], [6.467915565, 7.467915565], [6.646531816, 7.646531816], [6.9342497430000005, 7.9342497430000005], [6.880085327000001, 7.880085327000001], [6.868122685, 7.868122685], [6.359533369, 7.359533369], [6.93217844, 7.93217844], [6.868515655, 7.868515655], [6.927551477000001, 7.927551477000001], [6.629408899, 7.629408899], [6.454263974000001, 7.454263974000001], [6.286364894, 7.286364894], [6.350919721, 7.350919721], [6.296352158, 7.296352158], [6.474964832, 7.474964832], [6.64500178, 7.64500178], [6.52225504, 7.52225504], [6.694787539, 7.694787539000001], [6.930048094, 7.930048094000001], [6.345262845000001, 7.345262845000001], [6.879626475, 7.879626475], [6.628710603, 7.628710603], [6.67428775, 7.67428775], [6.513314066, 7.513314066], [6.286084336, 7.286084336], [6.34421148, 7.34421148], [6.293781267, 7.293781267000001], [6.513382054, 7.513382054], [6.690925480000001, 7.690925480000001], [6.931663423000001, 7.931663423000001], [6.866626485, 7.866626485], [6.639155921, 7.639155921], [6.451296806, 7.451296806], [6.456312318, 7.456312318], [6.680874138, 7.680874138], [6.669836136000001, 7.669836136000001], [6.516555709, 7.516555709], [6.347017688, 7.347017688], [6.287395125000001, 7.287395125000001], [6.350764691, 7.350764691], [6.518512532000001, 7.518512532000001], [6.455724581, 7.455724581], [6.642298407, 7.642298407], [6.867582168, 7.867582168], [6.924685138, 7.924685138]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{64}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{36,37}(\\sigma_{36}^{+}\\sigma_{37}^{-}+\\sigma_{36}^{-}\\sigma_{37}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) \\\\ & + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{34,35}(\\sigma_{34}^{+}\\sigma_{35}^{-}+\\sigma_{34}^{-}\\sigma_{35}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{23,26}(\\sigma_{23}^{+}\\sigma_{26}^{-}+\\sigma_{23}^{-}\\sigma_{26}^{+}) + J_{0,10}(\\sigma_{0}^{+}\\sigma_{10}^{-}+\\sigma_{0}^{-}\\sigma_{10}^{+}) \\\\ & + J_{51,54}(\\sigma_{51}^{+}\\sigma_{54}^{-}+\\sigma_{51}^{-}\\sigma_{54}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{32,33}(\\sigma_{32}^{+}\\sigma_{33}^{-}+\\sigma_{32}^{-}\\sigma_{33}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{47,53}(\\sigma_{47}^{+}\\sigma_{53}^{-}+\\sigma_{47}^{-}\\sigma_{53}^{+}) + J_{39,45}(\\sigma_{39}^{+}\\sigma_{45}^{-}+\\sigma_{39}^{-}\\sigma_{45}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{35,40}(\\sigma_{35}^{+}\\sigma_{40}^{-}+\\sigma_{35}^{-}\\sigma_{40}^{+}) + J_{19,25}(\\sigma_{19}^{+}\\sigma_{25}^{-}+\\sigma_{19}^{-}\\sigma_{25}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{35,36}(\\sigma_{35}^{+}\\sigma_{36}^{-}+\\sigma_{35}^{-}\\sigma_{36}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{12,21}(\\sigma_{12}^{+}\\sigma_{21}^{-}+\\sigma_{12}^{-}\\sigma_{21}^{+}) + J_{38,41}(\\sigma_{38}^{+}\\sigma_{41}^{-}+\\sigma_{38}^{-}\\sigma_{41}^{+}) + J_{31,39}(\\sigma_{31}^{+}\\sigma_{39}^{-}+\\sigma_{31}^{-}\\sigma_{39}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{10,13}(\\sigma_{10}^{+}\\sigma_{13}^{-}+\\sigma_{10}^{-}\\sigma_{13}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) \\\\ & + J_{26,37}(\\sigma_{26}^{+}\\sigma_{37}^{-}+\\sigma_{26}^{-}\\sigma_{37}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{14,15}(\\sigma_{14}^{+}\\sigma_{15}^{-}+\\sigma_{14}^{-}\\sigma_{15}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{40,49}(\\sigma_{40}^{+}\\sigma_{49}^{-}+\\sigma_{40}^{-}\\sigma_{49}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{55,56}(\\sigma_{55}^{+}\\sigma_{56}^{-}+\\sigma_{55}^{-}\\sigma_{56}^{+}) \\\\ & + J_{4,11}(\\sigma_{4}^{+}\\sigma_{11}^{-}+\\sigma_{4}^{-}\\sigma_{11}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{33,34}(\\sigma_{33}^{+}\\sigma_{34}^{-}+\\sigma_{33}^{-}\\sigma_{34}^{+}) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{11,17}(\\sigma_{11}^{+}\\sigma_{17}^{-}+\\sigma_{11}^{-}\\sigma_{17}^{+}) \\\\ & + J_{15,24}(\\sigma_{15}^{+}\\sigma_{24}^{-}+\\sigma_{15}^{-}\\sigma_{24}^{+}) + J_{8,12}(\\sigma_{8}^{+}\\sigma_{12}^{-}+\\sigma_{8}^{-}\\sigma_{12}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{24,29}(\\sigma_{24}^{+}\\sigma_{29}^{-}+\\sigma_{24}^{-}\\sigma_{29}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{27,38}(\\sigma_{27}^{+}\\sigma_{38}^{-}+\\sigma_{27}^{-}\\sigma_{38}^{+}) \\\\ & + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{43,52}(\\sigma_{43}^{+}\\sigma_{52}^{-}+\\sigma_{43}^{-}\\sigma_{52}^{+}) + J_{25,33}(\\sigma_{25}^{+}\\sigma_{33}^{-}+\\sigma_{25}^{-}\\sigma_{33}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,10)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t)+U_{10}^{(4,11)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,4)}(t)+U_{12}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,12)}(t)+U_{18}^{(8,9)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,0)}(t)+U_{22}^{(10,13)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,4)}(t)+U_{24}^{(11,17)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,21)}(t)+U_{25}^{(12,8)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,10)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{30}^{(14,15)}(t)+U_{29}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,24)}(t)+U_{31}^{(15,14)}(t)+U_{32}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,15)}(t)+U_{35}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{38}^{(17,18)}(t)+U_{37}^{(17,16)}(t)+U_{36}^{(17,11)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{40}^{(18,19)}(t)+U_{39}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{41}^{(19,18)}(t)+U_{43}^{(19,25)}(t)+U_{42}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{45}^{(20,21)}(t)+U_{44}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{47}^{(21,20)}(t)+U_{46}^{(21,12)}(t)+U_{48}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{50}^{(22,23)}(t)+U_{49}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{52}^{(23,26)}(t)+U_{51}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{53}^{(24,15)}(t)+U_{54}^{(24,29)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{56}^{(25,33)}(t)+U_{55}^{(25,19)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{58}^{(26,37)}(t)+U_{57}^{(26,23)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{60}^{(27,38)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{62}^{(28,29)}(t)+U_{61}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,24)}(t)+U_{65}^{(29,30)}(t)+U_{64}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{70}^{(31,39)}(t)+U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{72}^{(32,33)}(t)+U_{71}^{(32,31)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{74}^{(33,32)}(t)+U_{75}^{(33,34)}(t)+U_{73}^{(33,25)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{76}^{(34,33)}(t)+U_{77}^{(34,35)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{79}^{(35,36)}(t)+U_{78}^{(35,34)}(t)+U_{80}^{(35,40)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{82}^{(36,37)}(t)+U_{81}^{(36,35)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{83}^{(37,26)}(t)+U_{84}^{(37,36)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{86}^{(38,41)}(t)+U_{85}^{(38,27)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{88}^{(39,45)}(t)+U_{87}^{(39,31)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{89}^{(40,35)}(t)+U_{90}^{(40,49)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{92}^{(41,42)}(t)+U_{91}^{(41,38)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{94}^{(42,43)}(t)+U_{93}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{97}^{(43,52)}(t)+U_{95}^{(43,42)}(t)+U_{96}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{98}^{(44,43)}(t)+U_{99}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{101}^{(45,44)}(t)+U_{100}^{(45,39)}(t)+U_{102}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,45)}(t)+U_{104}^{(46,47)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{105}^{(47,46)}(t)+U_{107}^{(47,53)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{109}^{(48,49)}(t)+U_{108}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{111}^{(49,48)}(t)+U_{110}^{(49,40)}(t)+U_{112}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{114}^{(50,51)}(t)+U_{113}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{116}^{(51,54)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{118}^{(52,56)}(t)+U_{117}^{(52,43)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,47)}(t)+U_{120}^{(53,60)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{122}^{(54,64)}(t)+U_{121}^{(54,51)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,56)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{126}^{(56,57)}(t)+U_{124}^{(56,52)}(t)+U_{125}^{(56,55)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{127}^{(57,56)}(t)+U_{128}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{130}^{(58,59)}(t)+U_{129}^{(58,57)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{131}^{(59,58)}(t)+U_{132}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{134}^{(60,59)}(t)+U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{140}^{(63,62)}(t)+U_{141}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{143}^{(64,63)}(t)+U_{142}^{(64,54)}(t))\\sigma_{64}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,64,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,64,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,64,-delta{i}/2*O{i}]", "_SUM[i,0,64,omegad{i}*X{i}||D{i}]", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq36q37*Sp36*Sm37", "jq36q37*Sm36*Sp37", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq34q35*Sp34*Sm35", "jq34q35*Sm34*Sp35", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq23q26*Sp23*Sm26", "jq23q26*Sm23*Sp26", "jq0q10*Sp0*Sm10", "jq0q10*Sm0*Sp10", "jq51q54*Sp51*Sm54", "jq51q54*Sm51*Sp54", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq32q33*Sp32*Sm33", "jq32q33*Sm32*Sp33", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq47q53*Sp47*Sm53", "jq47q53*Sm47*Sp53", "jq39q45*Sp39*Sm45", "jq39q45*Sm39*Sp45", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq35q40*Sp35*Sm40", "jq35q40*Sm35*Sp40", "jq19q25*Sp19*Sm25", "jq19q25*Sm19*Sp25", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq35q36*Sp35*Sm36", "jq35q36*Sm35*Sp36", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq12q21*Sp12*Sm21", "jq12q21*Sm12*Sp21", "jq38q41*Sp38*Sm41", "jq38q41*Sm38*Sp41", "jq31q39*Sp31*Sm39", "jq31q39*Sm31*Sp39", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq10q13*Sp10*Sm13", "jq10q13*Sm10*Sp13", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq26q37*Sp26*Sm37", "jq26q37*Sm26*Sp37", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq14q15*Sp14*Sm15", "jq14q15*Sm14*Sp15", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq40q49*Sp40*Sm49", "jq40q49*Sm40*Sp49", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq55q56*Sp55*Sm56", "jq55q56*Sm55*Sp56", "jq4q11*Sp4*Sm11", "jq4q11*Sm4*Sp11", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq33q34*Sp33*Sm34", "jq33q34*Sm33*Sp34", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq11q17*Sp11*Sm17", "jq11q17*Sm11*Sp17", "jq15q24*Sp15*Sm24", "jq15q24*Sm15*Sp24", "jq8q12*Sp8*Sm12", "jq8q12*Sm8*Sp12", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq24q29*Sp24*Sm29", "jq24q29*Sm24*Sp29", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq27q38*Sp27*Sm38", "jq27q38*Sm27*Sp38", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq43q52*Sp43*Sm52", "jq43q52*Sm43*Sp52", "jq25q33*Sp25*Sm33", "jq25q33*Sm25*Sp33", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "omegad1*X0||U0", "omegad10*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad5*X4||U9", "omegad3*X4||U8", "omegad11*X4||U10", "omegad4*X5||U11", "omegad6*X5||U12", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X8||U19", "omegad9*X8||U18", "omegad7*X8||U17", "omegad8*X9||U20", "omegad0*X10||U21", "omegad13*X10||U22", "omegad4*X11||U23", "omegad17*X11||U24", "omegad21*X12||U26", "omegad8*X12||U25", "omegad10*X13||U27", "omegad14*X13||U28", "omegad15*X14||U30", "omegad13*X14||U29", "omegad24*X15||U33", "omegad14*X15||U31", "omegad16*X15||U32", "omegad15*X16||U34", "omegad17*X16||U35", "omegad18*X17||U38", "omegad16*X17||U37", "omegad11*X17||U36", "omegad19*X18||U40", "omegad17*X18||U39", "omegad18*X19||U41", "omegad25*X19||U43", "omegad20*X19||U42", "omegad21*X20||U45", "omegad19*X20||U44", "omegad20*X21||U47", "omegad12*X21||U46", "omegad22*X21||U48", "omegad23*X22||U50", "omegad21*X22||U49", "omegad26*X23||U52", "omegad22*X23||U51", "omegad15*X24||U53", "omegad29*X24||U54", "omegad33*X25||U56", "omegad19*X25||U55", "omegad37*X26||U58", "omegad23*X26||U57", "omegad28*X27||U59", "omegad38*X27||U60", "omegad29*X28||U62", "omegad27*X28||U61", "omegad24*X29||U63", "omegad30*X29||U65", "omegad28*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad39*X31||U70", "omegad30*X31||U68", "omegad32*X31||U69", "omegad33*X32||U72", "omegad31*X32||U71", "omegad32*X33||U74", "omegad34*X33||U75", "omegad25*X33||U73", "omegad33*X34||U76", "omegad35*X34||U77", "omegad36*X35||U79", "omegad34*X35||U78", "omegad40*X35||U80", "omegad37*X36||U82", "omegad35*X36||U81", 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{"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [53, 47]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [54, 51]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [55, 56]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [56, 52]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [56, 55]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [58, 57]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [60, 59]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [8, 12]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 0]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [10, 13]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 4]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [11, 17]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 8]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 21]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 10]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 15]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 14]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 16]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 24]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 15]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 17]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 11]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [17, 16]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [19, 25]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [20, 21]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [21, 12]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [22, 21]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [23, 26]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [24, 15]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [24, 29]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [25, 19]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [25, 33]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [26, 23]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [26, 37]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [27, 38]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [29, 24]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [31, 39]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [32, 31]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [32, 33]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [33, 25]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [33, 32]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [33, 34]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [34, 33]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [34, 35]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [35, 34]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [35, 36]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [35, 40]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [36, 35]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [36, 37]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [37, 26]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [37, 36]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [38, 27]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [38, 41]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [39, 31]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [39, 45]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [40, 35]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [40, 49]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [41, 38]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [43, 52]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [44, 43]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/manila/conf_manila.json b/qiskit/providers/fake_provider/backends/manila/conf_manila.json index d8357c0d0ac9..77248b9e8efd 100644 --- a/qiskit/providers/fake_provider/backends/manila/conf_manila.json +++ b/qiskit/providers/fake_provider/backends/manila/conf_manila.json @@ -1 +1 @@ -{"backend_name": "ibmq_manila", "backend_version": "1.0.4", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["shiftf", "cx", "acquire", "measure", "reset", "u1", "play", "u3", "sx", "u2", "delay", "rz", "id", "setf", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2021-04-28T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "L"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["d0", "u1", "m0", "u0"], ["u0", "u1", "d1", "u3", "u2", "m1"], ["m2", "d2", "u4", "u3", "u2", "u5"], ["u6", "m3", "u4", "d3", "u5", "u7"], ["u6", "u7", "d4", "m4"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.462770879920025, 5.462770879920026], [4.338412258764764, 5.338412258764764], [4.536989248286843, 5.536989248286843], [4.451300212210368, 5.451300212210368], [4.566350584469812, 5.566350584469812]], "meas_lo_range": [[6.663214088, 7.663214088], [6.7833221550000005, 7.7833221550000005], [6.7189281020000005, 7.7189281020000005], [6.6101423420000005, 7.6101423420000005], [6.846997692, 7.846997692]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1573187977651487, "delta1": -2.1753119475601674, "delta2": -2.159281266514359, "delta3": -2.158603148482815, "delta4": -2.1495256907311115, "jq0q1": 0.011845444218797994, "jq1q2": 0.01196783968906386, "jq2q3": 0.01240211395601237, "jq3q4": 0.01218691037040823, "omegad0": 0.9547391514371503, "omegad1": 0.9823590903681779, "omegad2": 0.9488305638847163, "omegad3": 0.966306782336248, "omegad4": 0.9793868100473206, "wq0": 31.182009075612207, "wq1": 30.400640814348364, "wq2": 31.648336837257435, "wq3": 31.10993674479536, "wq4": 31.83281955336143}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_manila", "backend_version": "1.0.4", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["shiftf", "cx", "acquire", "measure", "reset", "u1", "play", "u3", "sx", "u2", "delay", "rz", "id", "setf", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.11, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2021-04-28T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "L"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["d0", "u1", "m0", "u0"], ["u0", "u1", "d1", "u3", "u2", "m1"], ["m2", "d2", "u4", "u3", "u2", "u5"], ["u6", "m3", "u4", "d3", "u5", "u7"], ["u6", "u7", "d4", "m4"]], "uchannels_enabled": true, "url": "None", "input_allowed": ["job"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.462770879920025, 5.462770879920026], [4.338412258764764, 5.338412258764764], [4.536989248286843, 5.536989248286843], [4.451300212210368, 5.451300212210368], [4.566350584469812, 5.566350584469812]], "meas_lo_range": [[6.663214088, 7.663214088], [6.7833221550000005, 7.7833221550000005], [6.7189281020000005, 7.7189281020000005], [6.6101423420000005, 7.6101423420000005], [6.846997692, 7.846997692]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.1573187977651487, "delta1": -2.1753119475601674, "delta2": -2.159281266514359, "delta3": -2.158603148482815, "delta4": -2.1495256907311115, "jq0q1": 0.011845444218797994, "jq1q2": 0.01196783968906386, "jq2q3": 0.01240211395601237, "jq3q4": 0.01218691037040823, "omegad0": 0.9547391514371503, "omegad1": 0.9823590903681779, "omegad2": 0.9488305638847163, "omegad3": 0.966306782336248, "omegad4": 0.9793868100473206, "wq0": 31.182009075612207, "wq1": 30.400640814348364, "wq2": 31.648336837257435, "wq3": 31.10993674479536, "wq4": 31.83281955336143}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/melbourne/conf_melbourne.json b/qiskit/providers/fake_provider/backends/melbourne/conf_melbourne.json index 737cf57c763b..f14e6b922963 100644 --- a/qiskit/providers/fake_provider/backends/melbourne/conf_melbourne.json +++ b/qiskit/providers/fake_provider/backends/melbourne/conf_melbourne.json @@ -1 +1 @@ -{"backend_name": "ibmq_16_melbourne", "backend_version": "2.3.14", "n_qubits": 15, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [0, 14], [1, 0], [1, 2], [1, 13], [2, 1], [2, 3], [2, 12], [3, 2], [3, 4], [3, 11], [4, 3], [4, 5], [4, 10], [5, 4], [5, 6], [5, 9], [6, 5], [6, 8], [7, 8], [8, 6], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 4], [10, 9], [10, 11], [11, 3], [11, 10], [11, 12], [12, 2], [12, 11], [12, 13], [13, 1], [13, 12], [13, 14], [14, 0], [14, 13]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 14], [1, 0], [1, 2], [1, 13], [2, 1], [2, 3], [2, 12], [3, 2], [3, 4], [3, 11], [4, 3], [4, 5], [4, 10], [5, 4], [5, 6], [5, 9], [6, 5], [6, 8], [7, 8], [8, 6], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 4], [10, 9], [10, 11], [11, 3], [11, 10], [11, 12], [12, 2], [12, 11], [12, 13], [13, 1], [13, 12], [13, 14], [14, 0], [14, 13]], "dynamic_reprate_enabled": false, "supported_instructions": ["cx", "id", "delay", "measure", "rz", "sx", "u1", "u2", "u3", "x"], "max_experiments": 75, "sample_name": "family: Canary, revision: 1.1", "n_registers": 1, "credits_required": true, "online_date": "2018-11-06T05:00:00+00:00", "description": "15 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1.1}, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]], "multi_meas_enabled": true, "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_16_melbourne", "backend_version": "2.3.14", "n_qubits": 15, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [0, 14], [1, 0], [1, 2], [1, 13], [2, 1], [2, 3], [2, 12], [3, 2], [3, 4], [3, 11], [4, 3], [4, 5], [4, 10], [5, 4], [5, 6], [5, 9], [6, 5], [6, 8], [7, 8], [8, 6], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 4], [10, 9], [10, 11], [11, 3], [11, 10], [11, 12], [12, 2], [12, 11], [12, 13], [13, 1], [13, 12], [13, 14], [14, 0], [14, 13]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 14], [1, 0], [1, 2], [1, 13], [2, 1], [2, 3], [2, 12], [3, 2], [3, 4], [3, 11], [4, 3], [4, 5], [4, 10], [5, 4], [5, 6], [5, 9], [6, 5], [6, 8], [7, 8], [8, 6], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 4], [10, 9], [10, 11], [11, 3], [11, 10], [11, 12], [12, 2], [12, 11], [12, 13], [13, 1], [13, 12], [13, 14], [14, 0], [14, 13]], "dynamic_reprate_enabled": false, "supported_instructions": ["cx", "id", "delay", "measure", "rz", "sx", "u1", "u2", "u3", "x"], "max_experiments": 75, "sample_name": "family: Canary, revision: 1.1", "n_registers": 1, "credits_required": true, "online_date": "2018-11-06T05:00:00+00:00", "description": "15 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1.1}, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]], "multi_meas_enabled": true, "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/montreal/conf_montreal.json b/qiskit/providers/fake_provider/backends/montreal/conf_montreal.json index 248282d091f8..7c5aa5162de6 100644 --- a/qiskit/providers/fake_provider/backends/montreal/conf_montreal.json +++ b/qiskit/providers/fake_provider/backends/montreal/conf_montreal.json @@ -1 +1 @@ -{"backend_name": "ibmq_montreal", "backend_version": "1.9.5", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u2", "u1", "sx", "x", "setf", "u3", "cx", "id", "delay", "rz", "acquire", "shiftf", "play", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 128, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["d1", "u2", "u1", "m1", "u4", "u3", "u0", "u8"], ["d2", "u6", "u2", "u4", "m2", "u5"], ["u6", "d3", "m3", "u10", "u7", "u5"], ["u3", "u13", "u9", "m4", "u8", "d4"], ["m5", "u10", "d5", "u11", "u16", "u7"], ["m6", "u12", "d6", "u14"], ["m7", "u12", "d7", "u15", "u20", "u9", "u13", "u14"], ["m8", "u17", "d8", "u11", "u16", "u22", "u19", "u18"], ["m9", "u17", "d9", "u19"], ["u24", "d10", "m10", "u21", "u15", "u20"], ["m11", "u29", "d11", "u22", "u18", "u23"], ["u32", "u24", "m12", "u21", "u25", "u27", "u26", "d12"], ["u28", "d13", "u30", "u25", "u27", "m13"], ["u29", "u28", "d14", "m14", "u34", "u31", "u30", "u23"], ["u37", "u32", "m15", "u33", "d15", "u26"], ["u40", "d16", "u34", "m16", "u31", "u35"], ["u38", "u36", "m17", "d17"], ["u37", "u44", "u33", "u39", "d18", "u36", "u38", "m18"], ["u42", "u40", "u35", "u43", "u46", "u41", "d19", "m19"], ["m20", "d20", "u41", "u43"], ["u44", "u45", "m21", "u48", "u39", "d21"], ["u42", "d22", "m22", "u46", "u47", "u52"], ["u50", "m23", "d23", "u45", "u48", "u49"], ["u50", "m24", "u51", "u53", "d24", "u49"], ["u55", "m25", "u53", "d25", "u54", "u51", "u47", "u52"], ["d26", "u55", "m26", "u54"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.410721175793674, 5.410721175793674], [4.334686632799765, 5.334686632799765], [4.482351366935973, 5.482351366935973], [4.60489119915921, 5.60489119915921], [4.503742965294408, 5.503742965294408], [4.533091800969442, 5.533091800969442], [4.450608804128911, 5.450608804128912], [4.4056841207465345, 5.4056841207465345], [4.40818637930849, 5.40818637930849], [4.544611221757046, 5.544611221757046], [4.581932604386775, 5.581932604386775], [4.5341439658219995, 5.5341439658219995], [4.472275341383392, 5.472275341383392], [4.368253685878823, 5.368253685878823], [4.460940637415141, 5.460940637415141], [4.533903744210761, 5.533903744210761], [4.585532467857762, 5.585532467857762], [4.572130667797018, 5.572130667797018], [4.481368853631676, 5.481368853631676], [4.483193250791359, 5.483193250791359], [4.582198527075786, 5.582198527075786], [4.5733414145544415, 5.5733414145544415], [4.556970007957142, 5.556970007957142], [4.4728467157339455, 5.4728467157339455], [4.551505795441573, 5.551505795441573], [4.434188828946117, 5.434188828946117], [4.499942449317529, 5.499942449317529]], "meas_lo_range": [[6.771393973, 7.771393973], [6.8857336160000004, 7.8857336160000004], [6.763340178, 7.763340178000001], [6.899158986000001, 7.899158986000001], [6.827607977, 7.827607977], [6.840916165, 7.840916165], [6.943263485, 7.943263485], [6.6921583710000005, 7.6921583710000005], [6.697564896, 7.697564896], [6.944852158000001, 7.944852158000001], [6.770849672000001, 7.770849672000001], [6.838729708000001, 7.838729708000001], [6.934767516000001, 7.934767516000001], [6.830482308000001, 7.830482308000001], [6.887795189, 7.887795189], [6.899318844000001, 7.899318844000001], [6.777288326000001, 7.777288326000001], [6.948326538000001, 7.948326538000001], [6.692928820000001, 7.692928820000001], [6.703609050000001, 7.703609050000001], [6.955696005, 7.955696005], [6.848794852, 7.848794852], [6.836487004, 7.836487004], [6.9138372100000005, 7.9138372100000005], [6.782084223, 7.782084223000001], [6.892533549, 7.892533549], [6.781974443, 7.781974443]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.133861449726836, "delta1": -2.0388838424495406, "delta10": -2.117126173220791, "delta11": -2.120260909131122, "delta12": -2.0230781652100593, "delta13": 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31.41556493429541, "wq3": 32.07497737730753, "wq4": 31.439444280441037, "wq5": 31.623848453537242, "wq6": 31.10559249969668, "wq7": 30.823322389138838, "wq8": 30.839044543370076, "wq9": 31.696227108977137}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": 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{"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": 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[13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": 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{"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_montreal", "backend_version": "1.9.5", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u2", "u1", "sx", "x", "setf", "u3", "cx", "id", "delay", "rz", "acquire", "shiftf", "play", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 128, "qubit_channel_mapping": [["u1", "u0", "m0", "d0"], ["d1", "u2", "u1", "m1", "u4", "u3", "u0", "u8"], ["d2", "u6", "u2", "u4", "m2", "u5"], ["u6", "d3", "m3", "u10", "u7", "u5"], ["u3", "u13", "u9", "m4", "u8", "d4"], ["m5", "u10", "d5", "u11", "u16", "u7"], ["m6", "u12", "d6", "u14"], ["m7", "u12", "d7", "u15", "u20", "u9", "u13", "u14"], ["m8", "u17", "d8", "u11", "u16", "u22", "u19", "u18"], ["m9", "u17", "d9", "u19"], ["u24", "d10", "m10", "u21", "u15", "u20"], ["m11", "u29", "d11", "u22", "u18", "u23"], ["u32", "u24", "m12", "u21", "u25", "u27", "u26", "d12"], ["u28", "d13", "u30", "u25", "u27", "m13"], ["u29", "u28", "d14", "m14", "u34", "u31", "u30", "u23"], ["u37", "u32", "m15", "u33", "d15", "u26"], ["u40", "d16", "u34", "m16", "u31", "u35"], ["u38", "u36", "m17", "d17"], ["u37", "u44", "u33", "u39", "d18", "u36", "u38", "m18"], ["u42", "u40", "u35", "u43", "u46", "u41", "d19", "m19"], ["m20", "d20", "u41", "u43"], ["u44", "u45", "m21", "u48", "u39", "d21"], ["u42", "d22", "m22", "u46", "u47", "u52"], ["u50", "m23", "d23", "u45", "u48", "u49"], ["u50", "m24", "u51", "u53", "d24", "u49"], ["u55", "m25", "u53", "d25", "u54", "u51", "u47", "u52"], ["d26", "u55", "m26", "u54"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": 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[{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.410721175793674, 5.410721175793674], [4.334686632799765, 5.334686632799765], [4.482351366935973, 5.482351366935973], [4.60489119915921, 5.60489119915921], [4.503742965294408, 5.503742965294408], [4.533091800969442, 5.533091800969442], [4.450608804128911, 5.450608804128912], [4.4056841207465345, 5.4056841207465345], [4.40818637930849, 5.40818637930849], [4.544611221757046, 5.544611221757046], [4.581932604386775, 5.581932604386775], [4.5341439658219995, 5.5341439658219995], [4.472275341383392, 5.472275341383392], [4.368253685878823, 5.368253685878823], [4.460940637415141, 5.460940637415141], [4.533903744210761, 5.533903744210761], [4.585532467857762, 5.585532467857762], [4.572130667797018, 5.572130667797018], [4.481368853631676, 5.481368853631676], [4.483193250791359, 5.483193250791359], [4.582198527075786, 5.582198527075786], [4.5733414145544415, 5.5733414145544415], [4.556970007957142, 5.556970007957142], [4.4728467157339455, 5.4728467157339455], [4.551505795441573, 5.551505795441573], [4.434188828946117, 5.434188828946117], [4.499942449317529, 5.499942449317529]], "meas_lo_range": [[6.771393973, 7.771393973], [6.8857336160000004, 7.8857336160000004], [6.763340178, 7.763340178000001], [6.899158986000001, 7.899158986000001], [6.827607977, 7.827607977], [6.840916165, 7.840916165], [6.943263485, 7.943263485], [6.6921583710000005, 7.6921583710000005], [6.697564896, 7.697564896], [6.944852158000001, 7.944852158000001], [6.770849672000001, 7.770849672000001], [6.838729708000001, 7.838729708000001], [6.934767516000001, 7.934767516000001], [6.830482308000001, 7.830482308000001], [6.887795189, 7.887795189], [6.899318844000001, 7.899318844000001], [6.777288326000001, 7.777288326000001], [6.948326538000001, 7.948326538000001], [6.692928820000001, 7.692928820000001], [6.703609050000001, 7.703609050000001], [6.955696005, 7.955696005], [6.848794852, 7.848794852], [6.836487004, 7.836487004], [6.9138372100000005, 7.9138372100000005], [6.782084223, 7.782084223000001], [6.892533549, 7.892533549], [6.781974443, 7.781974443]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.133861449726836, "delta1": -2.0388838424495406, "delta10": -2.117126173220791, "delta11": -2.120260909131122, "delta12": -2.0230781652100593, "delta13": 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31.41556493429541, "wq3": 32.07497737730753, "wq4": 31.439444280441037, "wq5": 31.623848453537242, "wq6": 31.10559249969668, "wq7": 30.823322389138838, "wq8": 30.839044543370076, "wq9": 31.696227108977137}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": 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{"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": 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[13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": 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{"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/mumbai/conf_mumbai.json b/qiskit/providers/fake_provider/backends/mumbai/conf_mumbai.json index 75667f2491ed..90c502f2cb46 100644 --- a/qiskit/providers/fake_provider/backends/mumbai/conf_mumbai.json +++ b/qiskit/providers/fake_provider/backends/mumbai/conf_mumbai.json @@ -1 +1 @@ -{"backend_name": "ibmq_mumbai", "backend_version": "1.4.5", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["delay", "sx", "acquire", "shiftf", "u1", "u2", "setf", "reset", "rz", "u3", "play", "x", "id", "cx", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.1", "n_registers": 1, "credits_required": true, "online_date": "2020-11-13T05:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 5.1}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 128, "qubit_channel_mapping": [["u0", "u1", "d0", "m0"], ["u0", "m1", "u4", "u1", "d1", "u2", "u3", "u8"], ["d2", "u6", "u4", "u2", "m2", "u5"], ["u10", "u6", "d3", "m3", "u5", "u7"], ["d4", "u3", "u13", "u9", "u8", "m4"], ["u10", "d5", "u11", "m5", "u16", "u7"], ["m6", "u12", "d6", "u14"], ["m7", "u14", "d7", "u15", "u12", "u13", "u9", "u20"], ["m8", "u19", "u22", "u17", "u18", "u11", "d8", "u16"], ["m9", "u17", "u19", "d9"], ["u21", "u24", "u15", "d10", "m10", "u20"], ["u29", "u22", "u23", "d11", "u18", "m11"], ["u27", "u21", "u24", "m12", "u26", "u25", "u32", "d12"], ["u27", "u28", "u30", "m13", "d13", "u25"], ["u28", "u29", "m14", "u30", "d14", "u34", "u31", "u23"], ["u33", "u26", "d15", "u32", "u37", "m15"], ["u40", "u34", "u31", "m16", "d16", "u35"], ["u38", "m17", "d17", "u36"], ["u44", "u33", "m18", "u39", "u38", "u36", "u37", "d18"], ["m19", "u42", "u43", "u40", "d19", "u41", "u46", "u35"], ["m20", "d20", "u41", "u43"], ["u48", "u45", "u44", "u39", "m21", "d21"], ["u42", "u52", "m22", "u47", "d22", "u46"], ["d23", "m23", "u48", "u45", "u50", "u49"], ["m24", "u50", "u49", "u51", "d24", "u53"], ["u52", "m25", "u54", "u47", "d25", "u55", "u51", "u53"], ["u54", "d26", "m26", "u55"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.573462814921423, 5.573462814921423], [4.443844681620448, 5.443844681620448], [4.168157502363186, 5.168157502363186], [4.387315883214115, 5.387315883214115], [4.51635507577537, 5.51635507577537], [4.450539585866738, 5.450539585866738], [4.470622491726983, 5.470622491726983], [4.389863864167805, 5.389863864167805], [4.2698526254059646, 5.269852625405965], [4.448868138885028, 5.448868138885028], [4.466294754357908, 5.466294754357909], [4.164636564282378, 5.164636564282378], [4.241461907952718, 5.2414619079527185], [4.379064835799635, 5.379064835799635], [4.274809501962878, 5.274809501962879], [4.360834948367331, 5.360834948367331], [4.478318747333389, 5.478318747333389], [4.500300619491221, 5.500300619491221], [4.272460318985625, 5.272460318985625], [4.3077070359981215, 5.3077070359981215], [4.545028334669125, 5.545028334669125], [4.441029753792486, 5.441029753792486], [4.4068015872462665, 5.4068015872462665], [4.391601685652732, 5.391601685652732], [4.164347869784968, 5.164347869784968], [4.242061753511209, 5.242061753511209], [4.461661099733828, 5.461661099733828]], "meas_lo_range": [[6.693016227, 7.693016227], [6.813594711, 7.813594711], [6.701830155000001, 7.701830155000001], [6.828887965000001, 7.828887965000001], [6.755025035, 7.755025035], [6.770815432, 7.770815432000001], [6.866619445, 7.866619445], [6.635985598, 7.635985598], [6.644148218000001, 7.644148218000001], [6.876331855, 7.876331855], [6.691358465, 7.691358465], [6.770126054, 7.770126054], [6.868992325000001, 7.868992325000001], [6.758159472, 7.758159472000001], [6.820673438, 7.820673438000001], [6.8125132100000005, 7.8125132100000005], [6.692296347, 7.692296347], [6.873312112000001, 7.873312112000001], [6.633928835000001, 7.633928835000001], [6.645506396, 7.645506396], [6.882218574, 7.882218574], [6.7642951600000005, 7.7642951600000005], [6.7669746250000005, 7.7669746250000005], [6.82851313, 7.82851313], [6.693089788, 7.693089788000001], [6.823774907000001, 7.823774907000001], [6.707218387, 7.707218387]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.0643307168313334, "delta1": -2.081220695409679, "delta10": -2.074982950349061, "delta11": -2.103293246890298, "delta12": -2.103288822009991, "delta13": 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31.175036121052095, "wq3": 30.707911348956358, "wq4": 31.518688507707548, "wq5": 31.10515758852881, "wq6": 31.231342207555368, "wq7": 30.723920785447554, "wq8": 29.96986793336274, "wq9": 31.094655577411597}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": 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{"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_mumbai", "backend_version": "1.4.5", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["delay", "sx", "acquire", "shiftf", "u1", "u2", "setf", "reset", "rz", "u3", "play", "x", "id", "cx", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 5.1", "n_registers": 1, "credits_required": true, "online_date": "2020-11-13T05:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 5.1}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 128, "qubit_channel_mapping": [["u0", "u1", "d0", "m0"], ["u0", "m1", "u4", "u1", "d1", "u2", "u3", "u8"], ["d2", "u6", "u4", "u2", "m2", "u5"], ["u10", "u6", "d3", "m3", "u5", "u7"], ["d4", "u3", "u13", "u9", "u8", "m4"], ["u10", "d5", "u11", "m5", "u16", "u7"], ["m6", "u12", "d6", "u14"], ["m7", "u14", "d7", "u15", "u12", "u13", "u9", "u20"], ["m8", "u19", "u22", "u17", "u18", "u11", "d8", "u16"], ["m9", "u17", "u19", "d9"], ["u21", "u24", "u15", "d10", "m10", "u20"], ["u29", "u22", "u23", "d11", "u18", "m11"], ["u27", "u21", "u24", "m12", "u26", "u25", "u32", "d12"], ["u27", "u28", "u30", "m13", "d13", "u25"], ["u28", "u29", "m14", "u30", "d14", "u34", "u31", "u23"], ["u33", "u26", "d15", "u32", "u37", "m15"], ["u40", "u34", "u31", "m16", "d16", "u35"], ["u38", "m17", "d17", "u36"], ["u44", "u33", "m18", "u39", "u38", "u36", "u37", "d18"], ["m19", "u42", "u43", "u40", "d19", "u41", "u46", "u35"], ["m20", "d20", "u41", "u43"], ["u48", "u45", "u44", "u39", "m21", "d21"], ["u42", "u52", "m22", "u47", "d22", "u46"], ["d23", "m23", "u48", "u45", "u50", "u49"], ["m24", "u50", "u49", "u51", "d24", "u53"], ["u52", "m25", "u54", "u47", "d25", "u55", "u51", "u53"], ["u54", "d26", "m26", "u55"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, 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0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.573462814921423, 5.573462814921423], [4.443844681620448, 5.443844681620448], [4.168157502363186, 5.168157502363186], [4.387315883214115, 5.387315883214115], [4.51635507577537, 5.51635507577537], [4.450539585866738, 5.450539585866738], [4.470622491726983, 5.470622491726983], [4.389863864167805, 5.389863864167805], [4.2698526254059646, 5.269852625405965], [4.448868138885028, 5.448868138885028], [4.466294754357908, 5.466294754357909], [4.164636564282378, 5.164636564282378], [4.241461907952718, 5.2414619079527185], [4.379064835799635, 5.379064835799635], [4.274809501962878, 5.274809501962879], [4.360834948367331, 5.360834948367331], [4.478318747333389, 5.478318747333389], [4.500300619491221, 5.500300619491221], [4.272460318985625, 5.272460318985625], [4.3077070359981215, 5.3077070359981215], [4.545028334669125, 5.545028334669125], [4.441029753792486, 5.441029753792486], [4.4068015872462665, 5.4068015872462665], [4.391601685652732, 5.391601685652732], [4.164347869784968, 5.164347869784968], [4.242061753511209, 5.242061753511209], [4.461661099733828, 5.461661099733828]], "meas_lo_range": [[6.693016227, 7.693016227], [6.813594711, 7.813594711], [6.701830155000001, 7.701830155000001], [6.828887965000001, 7.828887965000001], [6.755025035, 7.755025035], [6.770815432, 7.770815432000001], [6.866619445, 7.866619445], [6.635985598, 7.635985598], [6.644148218000001, 7.644148218000001], [6.876331855, 7.876331855], [6.691358465, 7.691358465], [6.770126054, 7.770126054], [6.868992325000001, 7.868992325000001], [6.758159472, 7.758159472000001], [6.820673438, 7.820673438000001], [6.8125132100000005, 7.8125132100000005], [6.692296347, 7.692296347], [6.873312112000001, 7.873312112000001], [6.633928835000001, 7.633928835000001], [6.645506396, 7.645506396], [6.882218574, 7.882218574], [6.7642951600000005, 7.7642951600000005], [6.7669746250000005, 7.7669746250000005], [6.82851313, 7.82851313], [6.693089788, 7.693089788000001], [6.823774907000001, 7.823774907000001], [6.707218387, 7.707218387]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.0643307168313334, "delta1": -2.081220695409679, "delta10": -2.074982950349061, "delta11": -2.103293246890298, "delta12": -2.103288822009991, "delta13": 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31.175036121052095, "wq3": 30.707911348956358, "wq4": 31.518688507707548, "wq5": 31.10515758852881, "wq6": 31.231342207555368, "wq7": 30.723920785447554, "wq8": 29.96986793336274, "wq9": 31.094655577411597}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": 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{"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/nairobi/conf_nairobi.json b/qiskit/providers/fake_provider/backends/nairobi/conf_nairobi.json index 3c87bb42f8c9..6230a7c788cb 100644 --- a/qiskit/providers/fake_provider/backends/nairobi/conf_nairobi.json +++ b/qiskit/providers/fake_provider/backends/nairobi/conf_nairobi.json @@ -1 +1 @@ -{"backend_name": "ibm_nairobi", "backend_version": "1.0.13", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "u2", "sx", "delay", "measure", "reset", "rz", "setf", "u3", "acquire", "shiftf", "u1", "x", "id", "play"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2645, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["d0", "u0", "m0", "u1"], ["u2", "u5", "m1", "u3", "u1", "d1", "u0", "u4"], ["u2", "m2", "u4", "d2"], ["d3", "u8", "u5", "u6", "u3", "m3"], ["u9", "u7", "d4", "m4"], ["u8", "d5", "u9", "u10", "u6", "u11", "m5", "u7"], ["u10", "u11", "d6", "m6"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.760483791030155, 5.760483791030155], [4.670333454748703, 5.670333454748703], [4.774436548447222, 5.774436548447222], [4.526646125967889, 5.526646125967889], [4.677223413479857, 5.677223413479857], [4.79284383826766, 5.79284383826766], [4.6286976963519475, 5.6286976963519475]], "meas_lo_range": [[6.692252553, 7.692252553], [6.628685982, 7.628685982], [6.875559376, 7.875559376000001], [6.750891115000001, 7.750891115000001], [6.691408487, 7.691408487], [6.794383799, 7.794383799], [6.692597760000001, 7.692597760000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.135243733769955, "delta1": -2.13994911280816, "delta2": -2.129394678066021, "delta3": -2.1521818261888614, "delta4": -2.139992595470489, "delta5": -2.1396276723776833, "delta6": -2.1390204375856214, "jq0q1": 0.015232735472195266, "jq1q2": 0.020731271939206836, "jq1q3": 0.02043730274123934, "jq3q5": 0.015020857056561223, "jq4q5": 0.021264092348739026, "jq5q6": 0.02072534082080968, "omegad0": 1.373110659068891, "omegad1": 1.1780873207435267, "omegad2": 0.9139845233449416, "omegad3": 0.9656993163503216, "omegad4": 0.9298407995337947, "omegad5": 0.9577198276355297, "omegad6": 0.9685069625647934, "wq0": 33.052594464457044, "wq1": 32.48616319609612, "wq2": 33.140262224854595, "wq3": 31.58334908307263, "wq4": 32.52945408356278, "wq5": 33.255918637799375, "wq6": 32.22455801068434}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_nairobi", "backend_version": "1.0.13", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "u2", "sx", "delay", "measure", "reset", "rz", "setf", "u3", "acquire", "shiftf", "u1", "x", "id", "play"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-05-20T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2645, "measure_esp_enabled": false, "multi_meas_enabled": true, "quantum_volume": 32, "qubit_channel_mapping": [["d0", "u0", "m0", "u1"], ["u2", "u5", "m1", "u3", "u1", "d1", "u0", "u4"], ["u2", "m2", "u4", "d2"], ["d3", "u8", "u5", "u6", "u3", "m3"], ["u9", "u7", "d4", "m4"], ["u8", "d5", "u9", "u10", "u6", "u11", "m5", "u7"], ["u10", "u11", "d6", "m6"]], "supported_features": ["q", "o", "b", "j"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.760483791030155, 5.760483791030155], [4.670333454748703, 5.670333454748703], [4.774436548447222, 5.774436548447222], [4.526646125967889, 5.526646125967889], [4.677223413479857, 5.677223413479857], [4.79284383826766, 5.79284383826766], [4.6286976963519475, 5.6286976963519475]], "meas_lo_range": [[6.692252553, 7.692252553], [6.628685982, 7.628685982], [6.875559376, 7.875559376000001], [6.750891115000001, 7.750891115000001], [6.691408487, 7.691408487], [6.794383799, 7.794383799], [6.692597760000001, 7.692597760000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.135243733769955, "delta1": -2.13994911280816, "delta2": -2.129394678066021, "delta3": -2.1521818261888614, "delta4": -2.139992595470489, "delta5": -2.1396276723776833, "delta6": -2.1390204375856214, "jq0q1": 0.015232735472195266, "jq1q2": 0.020731271939206836, "jq1q3": 0.02043730274123934, "jq3q5": 0.015020857056561223, "jq4q5": 0.021264092348739026, "jq5q6": 0.02072534082080968, "omegad0": 1.373110659068891, "omegad1": 1.1780873207435267, "omegad2": 0.9139845233449416, "omegad3": 0.9656993163503216, "omegad4": 0.9298407995337947, "omegad5": 0.9577198276355297, "omegad6": 0.9685069625647934, "wq0": 33.052594464457044, "wq1": 32.48616319609612, "wq2": 33.140262224854595, "wq3": 31.58334908307263, "wq4": 32.52945408356278, "wq5": 33.255918637799375, "wq6": 32.22455801068434}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/oslo/conf_oslo.json b/qiskit/providers/fake_provider/backends/oslo/conf_oslo.json index 1de5c9cfd60f..2da65f97dd07 100644 --- a/qiskit/providers/fake_provider/backends/oslo/conf_oslo.json +++ b/qiskit/providers/fake_provider/backends/oslo/conf_oslo.json @@ -1 +1 @@ -{"backend_name": "ibm_oslo", "backend_version": "1.0.5", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "u1", "measure", "reset", "u2", "shiftf", "delay", "rz", "play", "id", "u3", "acquire", "x", "setf", "sx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2022-03-25T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2645, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u1", "u2", "d1", "u5", "u0", "u4", "m1", "u3"], ["d2", "u2", "u4", "m2"], ["d3", "m3", "u5", "u3", "u6", "u8"], ["u9", "d4", "u7", "m4"], ["u10", "u11", "u9", "d5", "u7", "u6", "u8", "m5"], ["m6", "d6", "u11", "u10"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.425043161619499, 5.425043161619499], [4.54627284903205, 5.54627284903205], [4.4619984906787, 5.4619984906787], [4.608098767473062, 5.608098767473062], [4.511074105950458, 5.511074105950458], [4.673290077743308, 5.673290077743308], [4.819311606468152, 5.819311606468152]], "meas_lo_range": [[6.729836446, 7.729836446], [6.604835349, 7.604835349000001], [6.8306589760000005, 7.8306589760000005], [6.632327716000001, 7.632327716000001], [6.713651857, 7.713651857], [6.812390622000001, 7.812390622000001], [6.7878388140000006, 7.7878388140000006]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "hw_qmfk", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.1710731135187147, "delta1": -2.1542170061400743, "delta2": -2.163170672110012, "delta3": -2.1485510754736845, "delta4": -2.1651009023029526, "delta5": -2.154771444964597, "delta6": -2.128894839231473, "jq0q1": 0.01984891041244237, "jq1q2": 0.019839140193104857, "jq1q3": 0.014778217170848052, "jq3q5": 0.020747024193950764, "jq4q5": 0.020361306329770044, "jq5q6": 0.010931407400838719, "omegad0": 1.0653674870347911, "omegad1": 1.103779874643512, "omegad2": 0.9848018924014904, "omegad3": 0.9820860734963635, "omegad4": 0.9675082231273433, "omegad5": 1.0188554881910525, "omegad6": 1.1944151797596076, "wq0": 30.944958830312927, "wq1": 31.70666742105745, "wq2": 31.177156010879695, "wq3": 32.0951311234089, "wq4": 31.485507195696, "wq5": 32.504740206254695, "wq6": 33.42222053007053}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_oslo", "backend_version": "1.0.5", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "u1", "measure", "reset", "u2", "shiftf", "delay", "rz", "play", "id", "u3", "acquire", "x", "setf", "sx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2022-03-25T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2645, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u1", "u2", "d1", "u5", "u0", "u4", "m1", "u3"], ["d2", "u2", "u4", "m2"], ["d3", "m3", "u5", "u3", "u6", "u8"], ["u9", "d4", "u7", "m4"], ["u10", "u11", "u9", "d5", "u7", "u6", "u8", "m5"], ["m6", "d6", "u11", "u10"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.425043161619499, 5.425043161619499], [4.54627284903205, 5.54627284903205], [4.4619984906787, 5.4619984906787], [4.608098767473062, 5.608098767473062], [4.511074105950458, 5.511074105950458], [4.673290077743308, 5.673290077743308], [4.819311606468152, 5.819311606468152]], "meas_lo_range": [[6.729836446, 7.729836446], [6.604835349, 7.604835349000001], [6.8306589760000005, 7.8306589760000005], [6.632327716000001, 7.632327716000001], [6.713651857, 7.713651857], [6.812390622000001, 7.812390622000001], [6.7878388140000006, 7.7878388140000006]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "hw_qmfk", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.1710731135187147, "delta1": -2.1542170061400743, "delta2": -2.163170672110012, "delta3": -2.1485510754736845, "delta4": -2.1651009023029526, "delta5": -2.154771444964597, "delta6": -2.128894839231473, "jq0q1": 0.01984891041244237, "jq1q2": 0.019839140193104857, "jq1q3": 0.014778217170848052, "jq3q5": 0.020747024193950764, "jq4q5": 0.020361306329770044, "jq5q6": 0.010931407400838719, "omegad0": 1.0653674870347911, "omegad1": 1.103779874643512, "omegad2": 0.9848018924014904, "omegad3": 0.9820860734963635, "omegad4": 0.9675082231273433, "omegad5": 1.0188554881910525, "omegad6": 1.1944151797596076, "wq0": 30.944958830312927, "wq1": 31.70666742105745, "wq2": 31.177156010879695, "wq3": 32.0951311234089, "wq4": 31.485507195696, "wq5": 32.504740206254695, "wq6": 33.42222053007053}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/ourense/conf_ourense.json b/qiskit/providers/fake_provider/backends/ourense/conf_ourense.json index df0775f1760a..2a7015971123 100644 --- a/qiskit/providers/fake_provider/backends/ourense/conf_ourense.json +++ b/qiskit/providers/fake_provider/backends/ourense/conf_ourense.json @@ -1 +1 @@ -{"backend_name": "ibmq_ourense", "backend_version": "1.3.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "id", "delay", "measure", "reset", "rz", "sx", "u1", "u2", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Ourense", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": false, "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_ourense", "backend_version": "1.3.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "id", "delay", "measure", "reset", "rz", "sx", "u1", "u2", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Ourense", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": false, "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/paris/conf_paris.json b/qiskit/providers/fake_provider/backends/paris/conf_paris.json index 0c23f5d69564..365df5faa022 100644 --- a/qiskit/providers/fake_provider/backends/paris/conf_paris.json +++ b/qiskit/providers/fake_provider/backends/paris/conf_paris.json @@ -1 +1 @@ -{"backend_name": "ibmq_paris", "backend_version": "1.7.11", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["setf", "u3", "sx", "rz", "play", "acquire", "reset", "u2", "u1", "delay", "x", "measure", "id", "shiftf", "cx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-03-23T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "d0", "u1", "u0"], ["m1", "u3", "u0", "u2", "u1", "u4", "u8", "d1"], ["m2", "u5", "d2", "u2", "u6", "u4"], ["m3", "u5", "d3", "u6", "u10", "u7"], ["u13", "u3", "m4", "u9", "d4", "u8"], ["d5", "u16", "u10", "u11", "u7", "m5"], ["d6", "m6", "u14", "u12"], ["u13", "d7", "u14", "u12", "u9", "m7", "u15", "u20"], ["u19", "m8", "u16", "d8", "u18", "u22", "u17", "u11"], ["d9", "u19", "m9", "u17"], ["m10", "d10", "u21", "u24", "u15", "u20"], ["m11", "d11", "u23", "u22", "u18", "u29"], ["u32", "u27", "u21", "u24", "u25", "u26", "d12", "m12"], ["u30", "u27", "u28", "m13", "u25", "d13"], ["u30", "u31", "u28", "u23", "m14", "u34", "u29", "d14"], ["u32", "m15", "d15", "u37", "u26", "u33"], ["d16", "u31", "u40", "u34", "u35", "m16"], ["u36", "m17", "u38", "d17"], ["u37", "d18", "u38", "u44", "u33", "m18", "u36", "u39"], ["u43", "u46", "u40", "m19", "u41", "u42", "d19", "u35"], ["m20", "d20", "u41", "u43"], ["u45", "d21", "m21", "u44", "u48", "u39"], ["u46", "u52", "d22", "u42", "m22", "u47"], ["u45", "u49", "d23", "u50", "u48", "m23"], ["d24", "u49", "m24", "u53", "u51", "u50"], ["u54", "u52", "u55", "u53", "u51", "d25", "u47", "m25"], ["m26", "d26", "u54", "u55"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 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[1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.5717169110383695, 5.5717169110383695], [4.520819687257467, 5.520819687257467], [4.31841386211475, 5.31841386211475], [4.394727248231744, 5.394727248231744], [4.585009254869315, 5.585009254869315], [4.304198874503833, 5.304198874503833], [4.701561135682865, 5.701561135682865], [4.642375618350829, 5.642375618350829], [4.568798976174808, 5.568798976174808], [4.670238482293785, 5.670238482293785], [4.419314179033781, 5.419314179033781], [4.459295097417155, 5.459295097417155], [4.542155570178757, 5.542155570178757], [4.613725063912886, 5.613725063912886], [4.398872438216649, 5.398872438216649], [4.349705660366571, 5.349705660366571], [4.520763999757115, 5.520763999757115], [4.550722559590579, 5.550722559590579], [4.436705121254483, 5.436705121254483], [4.262808525440336, 5.262808525440336], [4.538631416830751, 5.538631416830751], [4.334633198369855, 5.334633198369855], [4.489606216329268, 5.489606216329268], [4.626337959260502, 5.626337959260502], [4.478697920369316, 5.478697920369316], [4.352034190246308, 5.352034190246308], [4.458284656949012, 5.458284656949012]], "meas_lo_range": [[6.737895923000001, 7.737895923000001], [6.775636744000001, 7.775636744000001], [6.721691267000001, 7.721691267000001], [6.873178587000001, 7.873178587000001], [6.8137342190000005, 7.8137342190000005], [6.810400843, 7.810400843000001], [6.928058906, 7.928058906], [6.595818406, 7.595818406], [6.608712392, 7.608712392], [6.9272649170000005, 7.9272649170000005], [6.745143174000001, 7.745143174000001], [6.824107004, 7.824107004000001], [6.838562153000001, 7.838562153000001], [6.813394602000001, 7.813394602000001], [6.789745106000001, 7.789745106000001], [6.873954354, 7.873954354], [6.750351729, 7.750351729], [6.930527564, 7.930527564], [6.598826063000001, 7.598826063000001], [6.613728571, 7.613728571], [6.937219096000001, 7.937219096000001], [6.816835988, 7.816835988], [6.798747511, 7.798747511], [6.886912724, 7.886912724], [6.74299345, 7.74299345], [6.789924949, 7.789924949], [6.729053435000001, 7.729053435000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", 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"omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.114941050575065, "delta1": -2.0154827334770196, "delta10": -2.128655899290157, "delta11": -2.121833813659308, "delta12": -2.01576599508792, "delta13": 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23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.5717169110383695, 5.5717169110383695], [4.520819687257467, 5.520819687257467], [4.31841386211475, 5.31841386211475], [4.394727248231744, 5.394727248231744], [4.585009254869315, 5.585009254869315], [4.304198874503833, 5.304198874503833], [4.701561135682865, 5.701561135682865], [4.642375618350829, 5.642375618350829], [4.568798976174808, 5.568798976174808], [4.670238482293785, 5.670238482293785], [4.419314179033781, 5.419314179033781], [4.459295097417155, 5.459295097417155], [4.542155570178757, 5.542155570178757], [4.613725063912886, 5.613725063912886], [4.398872438216649, 5.398872438216649], [4.349705660366571, 5.349705660366571], [4.520763999757115, 5.520763999757115], [4.550722559590579, 5.550722559590579], [4.436705121254483, 5.436705121254483], [4.262808525440336, 5.262808525440336], [4.538631416830751, 5.538631416830751], [4.334633198369855, 5.334633198369855], [4.489606216329268, 5.489606216329268], [4.626337959260502, 5.626337959260502], [4.478697920369316, 5.478697920369316], [4.352034190246308, 5.352034190246308], [4.458284656949012, 5.458284656949012]], "meas_lo_range": [[6.737895923000001, 7.737895923000001], [6.775636744000001, 7.775636744000001], [6.721691267000001, 7.721691267000001], [6.873178587000001, 7.873178587000001], [6.8137342190000005, 7.8137342190000005], [6.810400843, 7.810400843000001], [6.928058906, 7.928058906], [6.595818406, 7.595818406], [6.608712392, 7.608712392], [6.9272649170000005, 7.9272649170000005], [6.745143174000001, 7.745143174000001], [6.824107004, 7.824107004000001], [6.838562153000001, 7.838562153000001], [6.813394602000001, 7.813394602000001], [6.789745106000001, 7.789745106000001], [6.873954354, 7.873954354], [6.750351729, 7.750351729], [6.930527564, 7.930527564], [6.598826063000001, 7.598826063000001], [6.613728571, 7.613728571], [6.937219096000001, 7.937219096000001], [6.816835988, 7.816835988], [6.798747511, 7.798747511], [6.886912724, 7.886912724], [6.74299345, 7.74299345], [6.789924949, 7.789924949], [6.729053435000001, 7.729053435000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "quadratic_discriminator", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.114941050575065, "delta1": -2.0154827334770196, "delta10": -2.128655899290157, "delta11": -2.121833813659308, "delta12": -2.01576599508792, "delta13": -2.107228959786816, "delta14": -2.0362036508564074, "delta15": -2.144656566146518, "delta16": -2.125723366135576, "delta17": -2.1238620094266003, "delta18": -2.026781987235119, "delta19": -2.0409326633028435, "delta2": -2.134540574834069, "delta20": -2.1234840556692793, "delta21": -2.447921610741793, "delta22": -2.1293097954987066, "delta23": -2.105336521517803, "delta24": -2.1197679946274097, "delta25": -2.035882076376479, "delta26": -2.126641254489694, "delta3": -2.130471670884307, "delta4": -2.113793737770602, "delta5": -2.548832879455587, "delta6": -2.1042742002146326, "delta7": -2.0028204262542277, "delta8": -2.012805650430623, "delta9": -2.109695040221, "jq0q1": 0.00988321208683956, "jq10q12": 0.00994070126691372, "jq11q14": 0.008795087444606149, "jq12q13": 0.009948759715709172, "jq12q15": 0.009620393047823673, "jq13q14": 0.010038660440270925, "jq14q16": 0.00965314639489663, "jq15q18": 0.009138457028193787, "jq16q19": 0.009173738149371904, "jq17q18": 0.009472380887439303, 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0.8014430166093858, "omegad21": 0.8238496373895011, "omegad22": 0.7643912198380727, "omegad23": 0.7528906281657449, "omegad24": 0.6988316625093919, "omegad25": 0.7387030527275286, "omegad26": 0.8202900143522768, "omegad3": 0.9793157030463892, "omegad4": 0.8392635693985223, "omegad5": 0.6409108627077991, "omegad6": 0.563136894091198, "omegad7": 0.7217519984400022, "omegad8": 1.0405926677063944, "omegad9": 0.776819972805215, "wq0": 31.86653717761052, "wq1": 31.546740488974127, "wq10": 30.908962571105256, "wq11": 31.160170090059225, "wq12": 31.680797795060876, "wq13": 32.130482186533435, "wq14": 30.780523325549883, "wq15": 30.47159934936092, "wq16": 31.546390594090116, "wq17": 31.73462577706, "wq18": 31.018233083744388, "wq19": 29.925608547956397, "wq2": 30.274987182349843, "wq20": 31.658654886524435, "wq21": 30.37689627760012, "wq22": 31.35062046705199, "wq23": 32.20973134526256, "wq24": 31.28208162215005, "wq25": 30.486229934088605, "wq26": 31.153821305356008, "wq3": 30.754478328741268, "wq4": 31.950055437067103, "wq5": 30.185671781051187, "wq6": 32.68237250211894, "wq7": 32.31049892922047, "wq8": 31.84820325214848, "wq9": 32.48556646656279}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/perth/conf_perth.json b/qiskit/providers/fake_provider/backends/perth/conf_perth.json index c00963d66d0d..431e88177593 100644 --- a/qiskit/providers/fake_provider/backends/perth/conf_perth.json +++ b/qiskit/providers/fake_provider/backends/perth/conf_perth.json @@ -1 +1 @@ -{"backend_name": "ibm_perth", "backend_version": "1.1.26", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["reset", "u2", "acquire", "shiftf", "rz", "x", "u3", "setf", "id", "u1", "play", "cx", "delay", "sx", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-07-22T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2891, "measure_esp_enabled": true, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u0", "u2", "m1", "u4", "u5", "u3", "u1", "d1"], ["d2", "u4", "u2", "m2"], ["u6", "u8", "u5", "u3", "m3", "d3"], ["u9", "m4", "u7", "d4"], ["d5", "u6", "u8", "u7", "u11", "u10", "m5", "u9"], ["u10", "d6", "m6", "u11"]], "supported_features": ["qobj", "qasm3"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime", "qasm3"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.657546043297998, 5.657546043297998], [4.533691457253806, 5.533691457253806], [4.362635459406973, 5.362635459406973], [4.625269059177807, 5.625269059177807], [4.659221243756982, 5.659221243756982], [4.478609543928158, 5.478609543928158], [4.656651195298073, 5.656651195298073]], "meas_lo_range": [[6.663115502, 7.663115502], [6.6164476510000005, 7.6164476510000005], [6.84928468, 7.84928468], [6.719581694, 7.719581694], [6.637153809000001, 7.637153809000001], [6.78180398, 7.78180398], [6.6522457170000004, 7.6522457170000004]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.145861830262288, "delta1": -2.1637323700183813, "delta2": -2.1819772957619166, "delta3": -2.1390595390914435, "delta4": -2.094603727927117, "delta5": -2.1741205452449366, "delta6": -2.1391380255788, "jq0q1": 0.0002985095697687125, "jq1q2": 0.009124660333764169, "jq1q3": 0.00034451952437060125, "jq3q5": 0.013805491337781944, "jq4q5": 0.019157791111464737, "jq5q6": 0.01878865253626694, "omegad0": 1.17768084688185, "omegad1": 0.8944154423214405, "omegad2": 1.2751647891733031, "omegad3": 1.1539312808524558, "omegad4": 1.0470469563014095, "omegad5": 1.0320368101206865, "omegad6": 1.002098104679006, "wq0": 32.40581752035219, "wq1": 31.62761620509251, "wq2": 30.552839672716356, "wq3": 32.20301524796814, "wq4": 32.416343115262656, "wq5": 31.281526336593462, "wq6": 32.4001950245469}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_perth", "backend_version": "1.1.26", "n_qubits": 7, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]], "dynamic_reprate_enabled": true, "supported_instructions": ["reset", "u2", "acquire", "shiftf", "rz", "x", "u3", "setf", "id", "u1", "play", "cx", "delay", "sx", "measure"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11, segment: H", "n_registers": 1, "credits_required": true, "online_date": "2021-07-22T04:00:00+00:00", "description": "7 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11", "segment": "H"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": 2891, "measure_esp_enabled": true, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u0", "u2", "m1", "u4", "u5", "u3", "u1", "d1"], ["d2", "u4", "u2", "m2"], ["u6", "u8", "u5", "u3", "m3", "d3"], ["u9", "m4", "u7", "d4"], ["d5", "u6", "u8", "u7", "u11", "u10", "m5", "u9"], ["u10", "d6", "m6", "u11"]], "supported_features": ["qobj", "qasm3"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime", "qasm3"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 12, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.657546043297998, 5.657546043297998], [4.533691457253806, 5.533691457253806], [4.362635459406973, 5.362635459406973], [4.625269059177807, 5.625269059177807], [4.659221243756982, 5.659221243756982], [4.478609543928158, 5.478609543928158], [4.656651195298073, 5.656651195298073]], "meas_lo_range": [[6.663115502, 7.663115502], [6.6164476510000005, 7.6164476510000005], [6.84928468, 7.84928468], [6.719581694, 7.719581694], [6.637153809000001, 7.637153809000001], [6.78180398, 7.78180398], [6.6522457170000004, 7.6522457170000004]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{6}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,5)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{8}^{(5,3)}(t)+U_{10}^{(5,6)}(t)+U_{9}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{11}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,6,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,6,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,6,-delta{i}/2*O{i}]", "_SUM[i,0,6,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad5*X3||U6", "omegad5*X4||U7", "omegad3*X5||U8", "omegad6*X5||U10", "omegad4*X5||U9", "omegad5*X6||U11"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3}, "vars": {"delta0": -2.145861830262288, "delta1": -2.1637323700183813, "delta2": -2.1819772957619166, "delta3": -2.1390595390914435, "delta4": -2.094603727927117, "delta5": -2.1741205452449366, "delta6": -2.1391380255788, "jq0q1": 0.0002985095697687125, "jq1q2": 0.009124660333764169, "jq1q3": 0.00034451952437060125, "jq3q5": 0.013805491337781944, "jq4q5": 0.019157791111464737, "jq5q6": 0.01878865253626694, "omegad0": 1.17768084688185, "omegad1": 0.8944154423214405, "omegad2": 1.2751647891733031, "omegad3": 1.1539312808524558, "omegad4": 1.0470469563014095, "omegad5": 1.0320368101206865, "omegad6": 1.002098104679006, "wq0": 32.40581752035219, "wq1": 31.62761620509251, "wq2": 30.552839672716356, "wq3": 32.20301524796814, "wq4": 32.416343115262656, "wq5": 31.281526336593462, "wq6": 32.4001950245469}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/poughkeepsie/conf_poughkeepsie.json b/qiskit/providers/fake_provider/backends/poughkeepsie/conf_poughkeepsie.json index 9d9084dc300f..63894751c6a6 100644 --- a/qiskit/providers/fake_provider/backends/poughkeepsie/conf_poughkeepsie.json +++ b/qiskit/providers/fake_provider/backends/poughkeepsie/conf_poughkeepsie.json @@ -1 +1 @@ -{"n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1], "qubit_lo_range": [[4419880654.355299, 5419880654.355299], [4331818773.128386, 5331818773.128386], [4440360122.198563, 5440360122.198563], [4014840257.4765143, 5014840257.476514], [4162245116.4796567, 5162245116.479656], [4456872374.9551735, 5456872374.9551735], [4495824050.208722, 5495824050.208722], [4311577999.432829, 5311577999.432829], [4513992993.127942, 5513992993.127942], [4556562059.270213, 5556562059.270213], [4219590421.2889495, 5219590421.28895], [4399745516.8044405, 5399745516.8044405], [4272506091.507795, 5272506091.507795], [4601377457.408366, 5601377457.408366], [4490438630.686996, 5490438630.686996], [4306105512.227852, 5306105512.227852], [4455701605.735356, 5455701605.735356], [4098745330.525181, 5098745330.525181], [4328079640.389739, 5328079640.389739], [4439070500.713811, 5439070500.713811]], "meas_lo_range": [[6523048660.0, 7523048660.0], [6488508651.0, 7488508651.0], [6521087557.0, 7521087557.0], [6414462388.0, 7414462388.0], [6585532103.0, 7585532103.0], [6449279909.0, 7449279909.0], [6608946695.0, 7608946695.0], [6409172065.0, 7409172065.0], [6494924756.0, 7494924756.0], [6401232112.0, 7401232112.0], [6546906055.0, 7546906055.0], [6502697717.0, 7502697717.0], [6556662542.0, 7556662542.0], [6444036858.0, 7444036858.0], [6602260098.0, 7602260098.0], [6442593417.0, 7442593417.0], [6587802113.0, 7587802113.0], [6395809520.0, 7395809520.0], [6503100376.0, 7503100376.0], [6395805230.0, 7395805230.0]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modelled as a two level system. Qubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\nWarning: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2} (\\mathbb{1}_i-\\sigma_i^{z})+ \\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{10,15}(\\sigma_{10}^{+}\\sigma_{15}^{-}+\\sigma_{10}^{-}\\sigma_{15}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{4,9}(\\sigma_{4}^{+}\\sigma_{9}^{-}+\\sigma_{4}^{-}\\sigma_{9}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{14,19}(\\sigma_{14}^{+}\\sigma_{19}^{-}+\\sigma_{14}^{-}\\sigma_{19}^{+}) + J_{0,5}(\\sigma_{0}^{+}\\sigma_{5}^{-}+\\sigma_{0}^{-}\\sigma_{5}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,5)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,3)}(t)+U_{9}^{(4,9)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{10}^{(5,0)}(t)+U_{12}^{(5,10)}(t)+U_{11}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,7)}(t)+U_{19}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,4)}(t)+U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t)+U_{25}^{(10,15)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{27}^{(11,12)}(t)+U_{26}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{35}^{(14,19)}(t)+U_{34}^{(14,13)}(t)+U_{33}^{(14,9)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,10)}(t)+U_{37}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{43}^{(18,19)}(t)+U_{42}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t)+U_{44}^{(19,14)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq10q15*Sp10*Sm15", "jq10q15*Sm10*Sp15", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq4q9*Sp4*Sm9", "jq4q9*Sm4*Sp9", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq14q19*Sp14*Sm19", "jq14q19*Sm14*Sp19", "jq0q5*Sp0*Sm5", "jq0q5*Sm0*Sp5", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad5*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad3*X4||U8", "omegad9*X4||U9", "omegad0*X5||U10", "omegad10*X5||U12", "omegad6*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U18", "omegad9*X8||U19", "omegad4*X9||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad15*X10||U25", "omegad12*X11||U27", "omegad10*X11||U26", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad19*X14||U35", "omegad13*X14||U34", "omegad9*X14||U33", "omegad10*X15||U36", "omegad16*X15||U37", "omegad15*X16||U38", "omegad17*X16||U39", "omegad18*X17||U41", "omegad16*X17||U40", "omegad19*X18||U43", "omegad17*X18||U42", "omegad18*X19||U45", "omegad14*X19||U44"], "osc": {}, "qub": {"0": 2, "1": 2, "2": 2, "3": 2, "4": 2, "5": 2, "6": 2, "7": 2, "8": 2, "9": 2, "10": 2, "11": 2, "12": 2, "13": 2, "14": 2, "15": 2, "16": 2, "17": 2, "18": 2, "19": 2}, "vars": {"jq0q1": 0, "jq0q5": 0, "jq10q11": 0, "jq10q15": 0, "jq11q12": 0, "jq12q13": 0, "jq13q14": 0, "jq14q19": 0, "jq15q16": 0, "jq16q17": 0, "jq17q18": 0, "jq18q19": 0, "jq1q2": 0, "jq2q3": 0, "jq3q4": 0, "jq4q9": 0, "jq5q10": 0, "jq5q6": 0, "jq6q7": 0, "jq7q12": 0, "jq7q8": 0, "jq8q9": 0, "jq9q14": 0, "omegad0": 0, "omegad1": 0, "omegad10": 0, "omegad11": 0, "omegad12": 0, "omegad13": 0, "omegad14": 0, "omegad15": 0, "omegad16": 0, "omegad17": 0, "omegad18": 0, "omegad19": 0, "omegad2": 0, "omegad3": 0, "omegad4": 0, "omegad5": 0, "omegad6": 0, "omegad7": 0, "omegad8": 0, "omegad9": 0, "wq0": 30.912521840522306, "wq1": 30.359212722274766, "wq10": 29.654061190948244, "wq11": 30.786009040104712, "wq12": 29.986540152586855, "wq13": 32.0528998867654, "wq14": 31.355850680713953, "wq15": 30.197651539184857, "wq16": 31.137591515922676, "wq17": 28.894769092216546, "wq18": 30.33571905838971, "wq19": 31.03309520120914, "wq2": 31.041198131973957, "wq3": 28.367577970039335, "wq4": 29.29375001433476, "wq5": 31.14494767588273, "wq6": 31.38968826952586, "wq7": 30.2320361903849, "wq8": 31.503847104722883, "wq9": 31.771316435648355}}, "dynamic_reprate_enabled": false, "rep_times": [0.001], "rep_delays": null, "dt": 3.5555555555555554e-09, "dtm": 3.5555555555555554e-09, "acquisition_latency": [], "conditional_latency": [], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "backend_name": "ibmq_poughkeepsie", "backend_version": "1.6.6", "n_qubits": 20, "basis_gates": ["u1", "u2", "u3", "cx", "id"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]], "max_experiments": 900, "sample_name": "Hexbert", "n_registers": 1, "credits_required": true, "online_date": "2018-08-29T04:00:00+00:00", "description": "20 qubit device Poughkeepsie", "allow_q_object": true, "quantum_volume": 8, "uchannels_enabled": true, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1], "qubit_lo_range": [[4419880654.355299, 5419880654.355299], [4331818773.128386, 5331818773.128386], [4440360122.198563, 5440360122.198563], [4014840257.4765143, 5014840257.476514], [4162245116.4796567, 5162245116.479656], [4456872374.9551735, 5456872374.9551735], [4495824050.208722, 5495824050.208722], [4311577999.432829, 5311577999.432829], [4513992993.127942, 5513992993.127942], [4556562059.270213, 5556562059.270213], [4219590421.2889495, 5219590421.28895], [4399745516.8044405, 5399745516.8044405], [4272506091.507795, 5272506091.507795], [4601377457.408366, 5601377457.408366], [4490438630.686996, 5490438630.686996], [4306105512.227852, 5306105512.227852], [4455701605.735356, 5455701605.735356], [4098745330.525181, 5098745330.525181], [4328079640.389739, 5328079640.389739], [4439070500.713811, 5439070500.713811]], "meas_lo_range": [[6523048660.0, 7523048660.0], [6488508651.0, 7488508651.0], [6521087557.0, 7521087557.0], [6414462388.0, 7414462388.0], [6585532103.0, 7585532103.0], [6449279909.0, 7449279909.0], [6608946695.0, 7608946695.0], [6409172065.0, 7409172065.0], [6494924756.0, 7494924756.0], [6401232112.0, 7401232112.0], [6546906055.0, 7546906055.0], [6502697717.0, 7502697717.0], [6556662542.0, 7556662542.0], [6444036858.0, 7444036858.0], [6602260098.0, 7602260098.0], [6442593417.0, 7442593417.0], [6587802113.0, 7587802113.0], [6395809520.0, 7395809520.0], [6503100376.0, 7503100376.0], [6395805230.0, 7395805230.0]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modelled as a two level system. Qubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\nWarning: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2} (\\mathbb{1}_i-\\sigma_i^{z})+ \\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{10,15}(\\sigma_{10}^{+}\\sigma_{15}^{-}+\\sigma_{10}^{-}\\sigma_{15}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{4,9}(\\sigma_{4}^{+}\\sigma_{9}^{-}+\\sigma_{4}^{-}\\sigma_{9}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{14,19}(\\sigma_{14}^{+}\\sigma_{19}^{-}+\\sigma_{14}^{-}\\sigma_{19}^{+}) + J_{0,5}(\\sigma_{0}^{+}\\sigma_{5}^{-}+\\sigma_{0}^{-}\\sigma_{5}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,5)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,3)}(t)+U_{9}^{(4,9)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{10}^{(5,0)}(t)+U_{12}^{(5,10)}(t)+U_{11}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,7)}(t)+U_{19}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{20}^{(9,4)}(t)+U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t)+U_{25}^{(10,15)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{27}^{(11,12)}(t)+U_{26}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{35}^{(14,19)}(t)+U_{34}^{(14,13)}(t)+U_{33}^{(14,9)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,10)}(t)+U_{37}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{43}^{(18,19)}(t)+U_{42}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t)+U_{44}^{(19,14)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq10q15*Sp10*Sm15", "jq10q15*Sm10*Sp15", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq4q9*Sp4*Sm9", "jq4q9*Sm4*Sp9", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq14q19*Sp14*Sm19", "jq14q19*Sm14*Sp19", "jq0q5*Sp0*Sm5", "jq0q5*Sm0*Sp5", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad5*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad3*X4||U8", "omegad9*X4||U9", "omegad0*X5||U10", "omegad10*X5||U12", "omegad6*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U18", "omegad9*X8||U19", "omegad4*X9||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad15*X10||U25", "omegad12*X11||U27", "omegad10*X11||U26", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad19*X14||U35", "omegad13*X14||U34", "omegad9*X14||U33", "omegad10*X15||U36", "omegad16*X15||U37", "omegad15*X16||U38", "omegad17*X16||U39", "omegad18*X17||U41", "omegad16*X17||U40", "omegad19*X18||U43", "omegad17*X18||U42", "omegad18*X19||U45", "omegad14*X19||U44"], "osc": {}, "qub": {"0": 2, "1": 2, "2": 2, "3": 2, "4": 2, "5": 2, "6": 2, "7": 2, "8": 2, "9": 2, "10": 2, "11": 2, "12": 2, "13": 2, "14": 2, "15": 2, "16": 2, "17": 2, "18": 2, "19": 2}, "vars": {"jq0q1": 0, "jq0q5": 0, "jq10q11": 0, "jq10q15": 0, "jq11q12": 0, "jq12q13": 0, "jq13q14": 0, "jq14q19": 0, "jq15q16": 0, "jq16q17": 0, "jq17q18": 0, "jq18q19": 0, "jq1q2": 0, "jq2q3": 0, "jq3q4": 0, "jq4q9": 0, "jq5q10": 0, "jq5q6": 0, "jq6q7": 0, "jq7q12": 0, "jq7q8": 0, "jq8q9": 0, "jq9q14": 0, "omegad0": 0, "omegad1": 0, "omegad10": 0, "omegad11": 0, "omegad12": 0, "omegad13": 0, "omegad14": 0, "omegad15": 0, "omegad16": 0, "omegad17": 0, "omegad18": 0, "omegad19": 0, "omegad2": 0, "omegad3": 0, "omegad4": 0, "omegad5": 0, "omegad6": 0, "omegad7": 0, "omegad8": 0, "omegad9": 0, "wq0": 30.912521840522306, "wq1": 30.359212722274766, "wq10": 29.654061190948244, "wq11": 30.786009040104712, "wq12": 29.986540152586855, "wq13": 32.0528998867654, "wq14": 31.355850680713953, "wq15": 30.197651539184857, "wq16": 31.137591515922676, "wq17": 28.894769092216546, "wq18": 30.33571905838971, "wq19": 31.03309520120914, "wq2": 31.041198131973957, "wq3": 28.367577970039335, "wq4": 29.29375001433476, "wq5": 31.14494767588273, "wq6": 31.38968826952586, "wq7": 30.2320361903849, "wq8": 31.503847104722883, "wq9": 31.771316435648355}}, "dynamic_reprate_enabled": false, "rep_times": [0.001], "rep_delays": null, "dt": 3.5555555555555554e-09, "dtm": 3.5555555555555554e-09, "acquisition_latency": [], "conditional_latency": [], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "backend_name": "ibmq_poughkeepsie", "backend_version": "1.6.6", "n_qubits": 20, "basis_gates": ["u1", "u2", "u3", "cx", "id"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 9], [5, 0], [5, 6], [5, 10], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 7], [8, 9], [9, 4], [9, 8], [9, 14], [10, 5], [10, 11], [10, 15], [11, 10], [11, 12], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [14, 9], [14, 13], [14, 19], [15, 10], [15, 16], [16, 15], [16, 17], [17, 16], [17, 18], [18, 17], [18, 19], [19, 14], [19, 18]], "max_experiments": 900, "sample_name": "Hexbert", "n_registers": 1, "credits_required": true, "online_date": "2018-08-29T04:00:00+00:00", "description": "20 qubit device Poughkeepsie", "allow_q_object": true, "quantum_volume": 8, "uchannels_enabled": true, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/prague/conf_prague.json b/qiskit/providers/fake_provider/backends/prague/conf_prague.json index c2e5a1f53de9..589a134f243c 100644 --- a/qiskit/providers/fake_provider/backends/prague/conf_prague.json +++ b/qiskit/providers/fake_provider/backends/prague/conf_prague.json @@ -1 +1 @@ -{"backend_name": "ibm_prague", "backend_version": "2.0.0", "n_qubits": 33, "basis_gates": ["id", "rz", "sx", "x", "cz", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]]}, {"name": "cz", "parameters": [], "qasm_def": "gate cz q0, q1 { U(pi/2, 0, pi) q1; CX q0, q1; U(pi/2, 0, pi) q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [3, 30], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [23, 27], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25], [27, 23], [27, 28], [28, 27], [28, 29], [29, 28], [30, 3], [30, 31], [31, 30], [31, 32], [32, 31]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 50000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [3, 30], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [23, 27], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25], [27, 23], [27, 28], [28, 27], [28, 29], [29, 28], [30, 3], [30, 31], [31, 30], [31, 32], [32, 31]], "dynamic_reprate_enabled": false, "supported_instructions": ["delay", "id", "play", "shiftf", "u1", "measure", "x", "sx", "u3", "setf", "u2", "rz", "acquire", "reset", "cz"], "max_experiments": 300, "sample_name": "family: Egret, revision: 1", "n_registers": 1, "credits_required": true, "online_date": "2022-06-24T04:00:00+00:00", "description": "27 qubit device", "dt": 3.5555555555555554, "dtm": 3.5555555555555554, "processor_type": {"family": "Egret", "revision": "1"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "clops": null, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": null, "qubit_channel_mapping": [["u0", "m0", "d0"], ["u0", "u1", "u2", "m1", "d1"], ["d2", "u1", "m2", "u3"], ["u5", "u4", "u3", "d3", "m3"], ["d4", "u2", "u6", "m4"], ["m5", "u4", "d5", "u7"], ["d6", "u8", "m6"], ["u6", "u8", "m7", "u9", "d7"], ["u7", "d8", "m8", "u11", "u10"], ["d9", "u10", "m9"], ["d10", "u12", "m10", "u9"], ["d11", "u13", "u11", "m11"], ["d12", "u12", "m12", "u15", "u14"], ["m13", "u14", "u16", "d13"], ["d14", "u16", "u13", "m14", "u17"], ["m15", "u18", "d15", "u15"], ["d16", "u19", "m16", "u17"], ["m17", "d17", "u20"], ["u18", "u20", "d18", "m18", "u21"], ["m19", "u19", "d19", "u23", "u22"], ["m20", "u22", "d20"], ["m21", "u21", "u24", "d21"], ["d22", "u25", "m22", "u23"], ["u24", "u27", "d23", "u26", "m23"], ["d24", "u26", "u28", "m24"], ["m25", "u25", "d25", "u29", "u28"], ["m26", "d26", "u29"], ["u30", "m27", "d27", "u27"], ["d28", "u30", "m28", "u31"], ["m29", "d29", "u31"], ["u5", "m30", "d30", "u32"], ["m31", "d31", "u32", "u33"], ["m32", "u33", "d32"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 1, "min_length": 4, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 0, "u_channel_lo": [], "meas_levels": [1, 2], "qubit_lo_range": [[4.504390566408323, 5.504390566408323], [4.073340886623755, 5.073340886623755], [4.46544573843657, 5.46544573843657], [4.0883243573896895, 5.0883243573896895], [4.4987719666422, 5.4987719666422], [4.491645011346413, 5.491645011346413], [4.493144489004196, 5.493144489004196], [4.102247981936679, 5.102247981936679], [4.1446640900204645, 5.144664090020465], [4.505552953872906, 5.505552953872906], [4.529221470789068, 5.529221470789068], [4.480030163828066, 5.480030163828066], [4.133436402022119, 5.13343640202212], [4.534007657444489, 5.534007657444489], [4.076461718858697, 5.076461718858697], [4.474641999933473, 5.474641999933473], [4.476752237083728, 5.476752237083728], [4.499054026926536, 5.499054026926536], [4.137410318921632, 5.137410318921632], [4.301252646125077, 5.301252646125077], [4.4345903570004, 5.4345903570004], [4.529341253909032, 5.529341253909032], [4.589722302090271, 5.589722302090271], [4.188237958070823, 5.188237958070823], [4.528430038670404, 5.528430038670404], [4.119993436932728, 5.119993436932728], [4.531949191714609, 5.531949191714609], [4.489519905151963, 5.489519905151963], [4.10141393121053, 5.101413931210531], [4.492049390701751, 5.492049390701751], [4.477194903458664, 5.477194903458664], [4.09677641088669, 5.09677641088669], [4.416076326587887, 5.416076326587887]], "meas_lo_range": [[6.629025759, 7.629025759], [6.678811502, 7.678811502], [6.5257134080000005, 7.5257134080000005], [6.6692320800000005, 7.6692320800000005], [6.747766771, 7.747766771], [6.626049018000001, 7.626049018000001], [6.8134845120000005, 7.8134845120000005], [6.586717469000001, 7.586717469000001], [6.586142951, 7.586142951], [6.826218274, 7.826218274], [6.624971447, 7.624971447], [6.7480238550000005, 7.7480238550000005], [6.683865971, 7.683865971], [6.522911953, 7.522911953], [6.681948958, 7.681948958], [6.755894133000001, 7.755894133000001], [6.632343738, 7.632343738], [6.822750088, 7.822750088], [6.580730590000001, 7.580730590000001], [6.573469616000001, 7.573469616000001], [6.825744031, 7.825744031], [6.621997342, 7.621997342], [6.760124984000001, 7.760124984000001], [6.677460813000001, 7.677460813000001], [6.495116991000001, 7.495116991000001], [6.676987407, 7.676987407], [6.6290226290000005, 7.6290226290000005], [6.755770127000001, 7.755770127000001], [6.552179581000001, 7.552179581000001], [6.821343828000001, 7.821343828000001], [6.748156281, 7.748156281000001], [6.601955892, 7.601955892], [6.817526356, 7.817526356]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{32}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) \\\\ & + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{23,27}(\\sigma_{23}^{+}\\sigma_{27}^{-}+\\sigma_{23}^{-}\\sigma_{27}^{+}) + J_{3,30}(\\sigma_{3}^{+}\\sigma_{30}^{-}+\\sigma_{3}^{-}\\sigma_{30}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) \\\\ & + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) \\\\ & + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,4)}(t)+U_{1}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{4}^{(3,5)}(t)+U_{5}^{(3,30)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{6}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{7}^{(5,8)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{8}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{9}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{10}^{(8,9)}(t)+U_{11}^{(8,11)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{12}^{(10,12)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{13}^{(11,14)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{14}^{(12,13)}(t)+U_{15}^{(12,15)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{16}^{(13,14)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{17}^{(14,16)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{18}^{(15,18)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{19}^{(16,19)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{20}^{(17,18)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{21}^{(18,21)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{23}^{(19,22)}(t)+U_{22}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,21}(U_{24}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{25}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{27}^{(23,27)}(t)+U_{26}^{(23,24)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{28}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{29}^{(25,26)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,27}(U_{30}^{(27,28)}(t))\\sigma_{27}^{X} + \\Omega_{d,28}(U_{31}^{(28,29)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,30}(U_{32}^{(30,31)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{33}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,32,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,32,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,32,-delta{i}/2*O{i}]", "_SUM[i,0,32,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq23q27*Sp23*Sm27", "jq23q27*Sm23*Sp27", "jq3q30*Sp3*Sm30", "jq3q30*Sm3*Sp30", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad4*X1||U2", "omegad2*X1||U1", "omegad3*X2||U3", "omegad5*X3||U4", "omegad30*X3||U5", "omegad7*X4||U6", "omegad8*X5||U7", "omegad7*X6||U8", "omegad10*X7||U9", "omegad9*X8||U10", "omegad11*X8||U11", "omegad12*X10||U12", "omegad14*X11||U13", "omegad13*X12||U14", "omegad15*X12||U15", "omegad14*X13||U16", "omegad16*X14||U17", "omegad18*X15||U18", "omegad19*X16||U19", "omegad18*X17||U20", "omegad21*X18||U21", "omegad22*X19||U23", "omegad20*X19||U22", "omegad23*X21||U24", "omegad25*X22||U25", "omegad27*X23||U27", "omegad24*X23||U26", "omegad25*X24||U28", "omegad26*X25||U29", "omegad28*X27||U30", "omegad29*X28||U31", "omegad31*X30||U32", "omegad32*X31||U33"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3}, "vars": {"delta0": 0.0, "delta1": 0.0, "delta10": 0.0, "delta11": 0.0, "delta12": 0.0, "delta13": 0.0, "delta14": 0.0, "delta15": 0.0, "delta16": 0.0, "delta17": 0.0, "delta18": 0.0, "delta19": 0.0, "delta2": 0.0, "delta20": 0.0, "delta21": 0.0, "delta22": 0.0, "delta23": 0.0, "delta24": 0.0, "delta25": 0.0, 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"type": "control"}, "u4": {"operates": {"qubits": [3, 5]}, "purpose": "coupler", "type": "control"}, "u5": {"operates": {"qubits": [3, 30]}, "purpose": "coupler", "type": "control"}, "u6": {"operates": {"qubits": [4, 7]}, "purpose": "coupler", "type": "control"}, "u7": {"operates": {"qubits": [5, 8]}, "purpose": "coupler", "type": "control"}, "u8": {"operates": {"qubits": [6, 7]}, "purpose": "coupler", "type": "control"}, "u9": {"operates": {"qubits": [7, 10]}, "purpose": "coupler", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibm_prague", "backend_version": "2.0.0", "n_qubits": 33, "basis_gates": ["id", "rz", "sx", "x", "cz", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]]}, {"name": "rz", "parameters": ["theta"], 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"allow_q_object": true, "clops": null, "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": false, "quantum_volume": null, "qubit_channel_mapping": [["u0", "m0", "d0"], ["u0", "u1", "u2", "m1", "d1"], ["d2", "u1", "m2", "u3"], ["u5", "u4", "u3", "d3", "m3"], ["d4", "u2", "u6", "m4"], ["m5", "u4", "d5", "u7"], ["d6", "u8", "m6"], ["u6", "u8", "m7", "u9", "d7"], ["u7", "d8", "m8", "u11", "u10"], ["d9", "u10", "m9"], ["d10", "u12", "m10", "u9"], ["d11", "u13", "u11", "m11"], ["d12", "u12", "m12", "u15", "u14"], ["m13", "u14", "u16", "d13"], ["d14", "u16", "u13", "m14", "u17"], ["m15", "u18", "d15", "u15"], ["d16", "u19", "m16", "u17"], ["m17", "d17", "u20"], ["u18", "u20", "d18", "m18", "u21"], ["m19", "u19", "d19", "u23", "u22"], ["m20", "u22", "d20"], ["m21", "u21", "u24", "d21"], ["d22", "u25", "m22", "u23"], ["u24", "u27", "d23", "u26", "m23"], ["d24", "u26", "u28", "m24"], ["m25", "u25", "d25", "u29", "u28"], ["m26", "d26", "u29"], ["u30", "m27", "d27", "u27"], ["d28", "u30", "m28", "u31"], ["m29", "d29", "u31"], ["u5", "m30", "d30", "u32"], ["m31", "d31", "u32", "u33"], ["m32", "u33", "d32"]], "supported_features": ["qobj"], "timing_constraints": {"acquire_alignment": 16, "granularity": 1, "min_length": 4, "pulse_alignment": 1}, "uchannels_enabled": true, "url": "None", "input_allowed": ["job", "runtime"], "allow_object_storage": true, "pulse_num_channels": 9, "pulse_num_qubits": 3, "live_data": false, "n_uchannels": 0, "u_channel_lo": [], "meas_levels": [1, 2], "qubit_lo_range": [[4.504390566408323, 5.504390566408323], [4.073340886623755, 5.073340886623755], [4.46544573843657, 5.46544573843657], [4.0883243573896895, 5.0883243573896895], [4.4987719666422, 5.4987719666422], [4.491645011346413, 5.491645011346413], [4.493144489004196, 5.493144489004196], [4.102247981936679, 5.102247981936679], [4.1446640900204645, 5.144664090020465], [4.505552953872906, 5.505552953872906], [4.529221470789068, 5.529221470789068], [4.480030163828066, 5.480030163828066], [4.133436402022119, 5.13343640202212], [4.534007657444489, 5.534007657444489], [4.076461718858697, 5.076461718858697], [4.474641999933473, 5.474641999933473], [4.476752237083728, 5.476752237083728], [4.499054026926536, 5.499054026926536], [4.137410318921632, 5.137410318921632], [4.301252646125077, 5.301252646125077], [4.4345903570004, 5.4345903570004], [4.529341253909032, 5.529341253909032], [4.589722302090271, 5.589722302090271], [4.188237958070823, 5.188237958070823], [4.528430038670404, 5.528430038670404], [4.119993436932728, 5.119993436932728], [4.531949191714609, 5.531949191714609], [4.489519905151963, 5.489519905151963], [4.10141393121053, 5.101413931210531], [4.492049390701751, 5.492049390701751], [4.477194903458664, 5.477194903458664], [4.09677641088669, 5.09677641088669], [4.416076326587887, 5.416076326587887]], "meas_lo_range": [[6.629025759, 7.629025759], [6.678811502, 7.678811502], [6.5257134080000005, 7.5257134080000005], [6.6692320800000005, 7.6692320800000005], [6.747766771, 7.747766771], [6.626049018000001, 7.626049018000001], [6.8134845120000005, 7.8134845120000005], [6.586717469000001, 7.586717469000001], [6.586142951, 7.586142951], [6.826218274, 7.826218274], [6.624971447, 7.624971447], [6.7480238550000005, 7.7480238550000005], [6.683865971, 7.683865971], [6.522911953, 7.522911953], [6.681948958, 7.681948958], [6.755894133000001, 7.755894133000001], [6.632343738, 7.632343738], [6.822750088, 7.822750088], [6.580730590000001, 7.580730590000001], [6.573469616000001, 7.573469616000001], [6.825744031, 7.825744031], [6.621997342, 7.621997342], [6.760124984000001, 7.760124984000001], [6.677460813000001, 7.677460813000001], [6.495116991000001, 7.495116991000001], [6.676987407, 7.676987407], [6.6290226290000005, 7.6290226290000005], [6.755770127000001, 7.755770127000001], [6.552179581000001, 7.552179581000001], [6.821343828000001, 7.821343828000001], [6.748156281, 7.748156281000001], [6.601955892, 7.601955892], [6.817526356, 7.817526356]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{32}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) \\\\ & + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{23,27}(\\sigma_{23}^{+}\\sigma_{27}^{-}+\\sigma_{23}^{-}\\sigma_{27}^{+}) + J_{3,30}(\\sigma_{3}^{+}\\sigma_{30}^{-}+\\sigma_{3}^{-}\\sigma_{30}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) \\\\ & + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) \\\\ & + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,4)}(t)+U_{1}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{4}^{(3,5)}(t)+U_{5}^{(3,30)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{6}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{7}^{(5,8)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{8}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{9}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{10}^{(8,9)}(t)+U_{11}^{(8,11)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{12}^{(10,12)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{13}^{(11,14)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{14}^{(12,13)}(t)+U_{15}^{(12,15)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{16}^{(13,14)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{17}^{(14,16)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{18}^{(15,18)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{19}^{(16,19)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{20}^{(17,18)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{21}^{(18,21)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{23}^{(19,22)}(t)+U_{22}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,21}(U_{24}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{25}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{27}^{(23,27)}(t)+U_{26}^{(23,24)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{28}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{29}^{(25,26)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,27}(U_{30}^{(27,28)}(t))\\sigma_{27}^{X} + \\Omega_{d,28}(U_{31}^{(28,29)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,30}(U_{32}^{(30,31)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{33}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,32,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,32,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,32,-delta{i}/2*O{i}]", "_SUM[i,0,32,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq23q27*Sp23*Sm27", "jq23q27*Sm23*Sp27", "jq3q30*Sp3*Sm30", "jq3q30*Sm3*Sp30", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad4*X1||U2", "omegad2*X1||U1", "omegad3*X2||U3", "omegad5*X3||U4", "omegad30*X3||U5", "omegad7*X4||U6", "omegad8*X5||U7", "omegad7*X6||U8", "omegad10*X7||U9", "omegad9*X8||U10", "omegad11*X8||U11", "omegad12*X10||U12", "omegad14*X11||U13", "omegad13*X12||U14", "omegad15*X12||U15", "omegad14*X13||U16", "omegad16*X14||U17", "omegad18*X15||U18", "omegad19*X16||U19", "omegad18*X17||U20", "omegad21*X18||U21", "omegad22*X19||U23", "omegad20*X19||U22", "omegad23*X21||U24", "omegad25*X22||U25", "omegad27*X23||U27", "omegad24*X23||U26", "omegad25*X24||U28", "omegad26*X25||U29", "omegad28*X27||U30", "omegad29*X28||U31", "omegad31*X30||U32", "omegad32*X31||U33"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3}, "vars": {"delta0": 0.0, "delta1": 0.0, "delta10": 0.0, "delta11": 0.0, "delta12": 0.0, "delta13": 0.0, "delta14": 0.0, "delta15": 0.0, "delta16": 0.0, "delta17": 0.0, "delta18": 0.0, "delta19": 0.0, "delta2": 0.0, "delta20": 0.0, "delta21": 0.0, "delta22": 0.0, "delta23": 0.0, "delta24": 0.0, "delta25": 0.0, "delta26": 0.0, "delta27": 0.0, "delta28": 0.0, "delta29": 0.0, "delta3": 0.0, "delta30": 0.0, "delta31": 0.0, "delta32": 0.0, "delta4": 0.0, "delta5": 0.0, "delta6": 0.0, "delta7": 0.0, "delta8": 0.0, "delta9": 0.0, "jq0q1": 0.0, "jq10q12": 0.0, "jq11q14": 0.0, "jq12q13": 0.0, "jq12q15": 0.0, "jq13q14": 0.0, "jq14q16": 0.0, "jq15q18": 0.0, "jq16q19": 0.0, "jq17q18": 0.0, "jq18q21": 0.0, "jq19q20": 0.0, "jq19q22": 0.0, "jq1q2": 0.0, "jq1q4": 0.0, "jq21q23": 0.0, "jq22q25": 0.0, "jq23q24": 0.0, "jq23q27": 0.0, "jq24q25": 0.0, "jq25q26": 0.0, "jq27q28": 0.0, "jq28q29": 0.0, "jq2q3": 0.0, "jq30q31": 0.0, "jq31q32": 0.0, "jq3q30": 0.0, "jq3q5": 0.0, "jq4q7": 0.0, "jq5q8": 0.0, "jq6q7": 0.0, "jq7q10": 0.0, "jq8q11": 0.0, "jq8q9": 0.0, "omegad0": 1.2510512536753746, "omegad1": 1.7600766966847028, "omegad10": 1.3974270870410401, "omegad11": 1.4470283641148816, "omegad12": 1.3990879778643106, "omegad13": 1.5771457312110742, "omegad14": 1.4725656165079097, "omegad15": 1.6785263785508941, "omegad16": 1.4440706916321593, "omegad17": 1.5206063391897102, "omegad18": 1.5459373138466637, "omegad19": 1.6079516034439707, "omegad2": 1.503397573257949, "omegad20": 1.2242117150307725, "omegad21": 1.29633034295087, "omegad22": 1.8218663082335662, "omegad23": 2.2721961402566277, "omegad24": 0.700434058768821, "omegad25": 1.222117480633254, "omegad26": 2.0191272214508427, "omegad27": 0.18003758035057402, "omegad28": 0.4763563403079967, "omegad29": 1.1857846854690481, "omegad3": 1.0334682528320063, "omegad30": 1.4208340350161384, "omegad31": 1.366719547445862, "omegad32": 0.7072107465166412, "omegad4": 1.5275643626585302, "omegad5": 1.7340613498177457, "omegad6": 1.5853097672407224, "omegad7": 1.0707331000601295, "omegad8": 1.6543516391174775, "omegad9": 1.6482987412159773, "wq0": 31.4435132782449, "wq1": 28.735148263558038, "wq10": 31.599530451813983, "wq11": 31.290452354675658, "wq12": 29.11273952293643, "wq13": 31.629602949484738, "wq14": 28.7547570308028, "wq15": 31.256597522460474, "wq16": 31.269856533517622, "wq17": 31.40998281178176, "wq18": 29.137708379211396, "wq19": 30.16716008219019, "wq2": 31.198815707342145, "wq20": 31.004945628054987, "wq21": 31.60028307135339, "wq22": 31.979668386117858, "wq23": 29.457067854712225, "wq24": 31.594557737154364, "wq25": 29.028274882201842, "wq26": 31.61666922785543, "wq27": 31.3500781579309, "wq28": 28.911536404833463, "wq29": 31.36597138437205, "wq3": 28.82929218692512, "wq30": 31.272637888380597, "wq31": 28.882398005272965, "wq32": 30.888618544190404, "wq4": 31.40821057474747, "wq5": 31.36343059394806, "wq6": 31.372852089935897, "wq7": 28.91677690010145, "wq8": 29.18328516720123, "wq9": 31.45081677408362}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire27": {"operates": {"qubits": [27]}, "purpose": "acquire", "type": "acquire"}, "acquire28": {"operates": {"qubits": [28]}, "purpose": "acquire", "type": "acquire"}, "acquire29": {"operates": {"qubits": [29]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire30": {"operates": {"qubits": [30]}, "purpose": "acquire", "type": "acquire"}, "acquire31": {"operates": {"qubits": [31]}, "purpose": "acquire", "type": "acquire"}, "acquire32": {"operates": {"qubits": [32]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d27": {"operates": {"qubits": [27]}, "purpose": "drive", "type": "drive"}, "d28": {"operates": {"qubits": [28]}, "purpose": "drive", "type": "drive"}, "d29": {"operates": {"qubits": [29]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d30": {"operates": {"qubits": [30]}, "purpose": "drive", "type": "drive"}, "d31": {"operates": {"qubits": [31]}, "purpose": "drive", "type": "drive"}, "d32": {"operates": {"qubits": [32]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m27": {"operates": {"qubits": [27]}, "purpose": "measure", "type": "measure"}, "m28": {"operates": {"qubits": [28]}, "purpose": "measure", "type": "measure"}, "m29": {"operates": {"qubits": [29]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m30": {"operates": {"qubits": [30]}, "purpose": "measure", "type": "measure"}, "m31": {"operates": {"qubits": [31]}, "purpose": "measure", "type": "measure"}, "m32": {"operates": {"qubits": [32]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "coupler", "type": "control"}, "u1": {"operates": {"qubits": [1, 2]}, "purpose": "coupler", "type": "control"}, "u10": {"operates": {"qubits": [8, 9]}, "purpose": "coupler", "type": "control"}, "u11": {"operates": {"qubits": [8, 11]}, "purpose": "coupler", "type": "control"}, "u12": {"operates": {"qubits": [10, 12]}, "purpose": "coupler", "type": "control"}, "u13": {"operates": {"qubits": [11, 14]}, "purpose": "coupler", "type": "control"}, "u14": {"operates": {"qubits": [12, 13]}, "purpose": "coupler", "type": "control"}, "u15": {"operates": {"qubits": [12, 15]}, "purpose": "coupler", "type": "control"}, "u16": {"operates": {"qubits": [13, 14]}, "purpose": "coupler", "type": "control"}, "u17": {"operates": {"qubits": [14, 16]}, "purpose": "coupler", "type": "control"}, "u18": {"operates": {"qubits": [15, 18]}, "purpose": "coupler", "type": "control"}, "u19": {"operates": {"qubits": [16, 19]}, "purpose": "coupler", "type": "control"}, "u2": {"operates": {"qubits": [1, 4]}, "purpose": "coupler", "type": "control"}, "u20": {"operates": {"qubits": [17, 18]}, "purpose": "coupler", "type": "control"}, "u21": {"operates": {"qubits": [18, 21]}, "purpose": "coupler", "type": "control"}, "u22": {"operates": {"qubits": [19, 20]}, "purpose": "coupler", "type": "control"}, "u23": {"operates": {"qubits": [19, 22]}, "purpose": "coupler", "type": "control"}, "u24": {"operates": {"qubits": [21, 23]}, "purpose": "coupler", "type": "control"}, "u25": {"operates": {"qubits": [22, 25]}, "purpose": "coupler", "type": "control"}, "u26": {"operates": {"qubits": [23, 24]}, "purpose": "coupler", "type": "control"}, "u27": {"operates": {"qubits": [23, 27]}, "purpose": "coupler", "type": "control"}, "u28": {"operates": {"qubits": [24, 25]}, "purpose": "coupler", "type": "control"}, "u29": {"operates": {"qubits": [25, 26]}, "purpose": "coupler", "type": "control"}, "u3": {"operates": {"qubits": [2, 3]}, "purpose": "coupler", "type": "control"}, "u30": {"operates": {"qubits": [27, 28]}, "purpose": "coupler", "type": "control"}, "u31": {"operates": {"qubits": [28, 29]}, "purpose": "coupler", "type": "control"}, "u32": {"operates": {"qubits": [30, 31]}, "purpose": "coupler", "type": "control"}, "u33": {"operates": {"qubits": [31, 32]}, "purpose": "coupler", "type": "control"}, "u4": {"operates": {"qubits": [3, 5]}, "purpose": "coupler", "type": "control"}, "u5": {"operates": {"qubits": [3, 30]}, "purpose": "coupler", "type": "control"}, "u6": {"operates": {"qubits": [4, 7]}, "purpose": "coupler", "type": "control"}, "u7": {"operates": {"qubits": [5, 8]}, "purpose": "coupler", "type": "control"}, "u8": {"operates": {"qubits": [6, 7]}, "purpose": "coupler", "type": "control"}, "u9": {"operates": {"qubits": [7, 10]}, "purpose": "coupler", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/quito/conf_quito.json b/qiskit/providers/fake_provider/backends/quito/conf_quito.json index 53accd6d0c4a..42c506f91d05 100644 --- a/qiskit/providers/fake_provider/backends/quito/conf_quito.json +++ b/qiskit/providers/fake_provider/backends/quito/conf_quito.json @@ -1 +1 @@ -{"backend_name": "ibmq_quito", "backend_version": "1.0.8", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "u2", "acquire", "cx", "x", "setf", "shiftf", "id", "measure", "sx", "play", "u3", "u1", "delay", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Quito", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["m0", "u0", "u1", "d0"], ["m1", "u2", "d1", "u0", "u4", "u5", "u1", "u3"], ["u4", "u2", "d2", "m2"], ["d3", "m3", "u7", "u5", "u6", "u3"], ["u7", "m4", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.800357189009302, 5.800357189009302], [4.5808072105602875, 5.5808072105602875], [4.82228015442115, 5.82228015442115], [4.663751852649357, 5.663751852649357], [4.552591551254356, 5.552591551254356]], "meas_lo_range": [[6.807868157000001, 7.807868157000001], [6.7292695270000005, 7.7292695270000005], [6.991060108, 7.991060108], [6.8547510460000005, 7.8547510460000005], [6.904365522000001, 7.904365522000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.0827513300148186, "delta1": -2.0058778622715616, "delta2": -2.0880065449040663, "delta3": -2.1053738129998156, "delta4": -2.005987719908062, "jq0q1": 0.011708244917214646, "jq1q2": 0.012036525934936945, "jq1q3": 0.011454603594507373, "jq3q4": 0.010153599217904038, "omegad0": 1.1126739804002828, "omegad1": 1.323809466027628, "omegad2": 1.1045412859151778, "omegad3": 1.35875953482571, "omegad4": 0.5432232764222839, "wq0": 33.303126412786945, "wq1": 31.9236532140045, "wq2": 33.44087246695247, "wq3": 32.44480977048781, "wq4": 31.74636899802109}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_quito", "backend_version": "1.0.8", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "u2", "acquire", "cx", "x", "setf", "shiftf", "id", "measure", "sx", "play", "u3", "u1", "delay", "reset"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device Quito", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["m0", "u0", "u1", "d0"], ["m1", "u2", "d1", "u0", "u4", "u5", "u1", "u3"], ["u4", "u2", "d2", "m2"], ["d3", "m3", "u7", "u5", "u6", "u3"], ["u7", "m4", "d4", "u6"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.800357189009302, 5.800357189009302], [4.5808072105602875, 5.5808072105602875], [4.82228015442115, 5.82228015442115], [4.663751852649357, 5.663751852649357], [4.552591551254356, 5.552591551254356]], "meas_lo_range": [[6.807868157000001, 7.807868157000001], [6.7292695270000005, 7.7292695270000005], [6.991060108, 7.991060108], [6.8547510460000005, 7.8547510460000005], [6.904365522000001, 7.904365522000001]], "meas_kernels": ["hw_boxcar"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_centroid"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.0827513300148186, "delta1": -2.0058778622715616, "delta2": -2.0880065449040663, "delta3": -2.1053738129998156, "delta4": -2.005987719908062, "jq0q1": 0.011708244917214646, "jq1q2": 0.012036525934936945, "jq1q3": 0.011454603594507373, "jq3q4": 0.010153599217904038, "omegad0": 1.1126739804002828, "omegad1": 1.323809466027628, "omegad2": 1.1045412859151778, "omegad3": 1.35875953482571, "omegad4": 0.5432232764222839, "wq0": 33.303126412786945, "wq1": 31.9236532140045, "wq2": 33.44087246695247, "wq3": 32.44480977048781, "wq4": 31.74636899802109}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/rochester/conf_rochester.json b/qiskit/providers/fake_provider/backends/rochester/conf_rochester.json index bc895ae391e7..149a3a419636 100644 --- a/qiskit/providers/fake_provider/backends/rochester/conf_rochester.json +++ b/qiskit/providers/fake_provider/backends/rochester/conf_rochester.json @@ -1 +1 @@ -{"backend_name": "ibmq_rochester", "backend_version": "1.2.0", "n_qubits": 53, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [21, 28], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [25, 29], [26, 25], [26, 27], [27, 18], [27, 26], [28, 21], [28, 32], [29, 25], [29, 36], [30, 31], [30, 39], [31, 30], [31, 32], [32, 28], [32, 31], [32, 33], [33, 32], [33, 34], [34, 33], [34, 35], [34, 40], [35, 34], [35, 36], [36, 29], [36, 35], [36, 37], [37, 36], [37, 38], [38, 37], [38, 41], [39, 30], [39, 42], [40, 34], [40, 46], [41, 38], [41, 50], [42, 39], [42, 43], [43, 42], [43, 44], [44, 43], [44, 45], [44, 51], [45, 44], [45, 46], [46, 40], [46, 45], [46, 47], [47, 46], [47, 48], [48, 47], [48, 49], [48, 52], [49, 48], [49, 50], [50, 41], [50, 49], [51, 44], [52, 48]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [21, 28], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [25, 29], [26, 25], [26, 27], [27, 18], [27, 26], [28, 21], [28, 32], [29, 25], [29, 36], [30, 31], [30, 39], [31, 30], [31, 32], [32, 28], [32, 31], [32, 33], [33, 32], [33, 34], [34, 33], [34, 35], [34, 40], [35, 34], [35, 36], [36, 29], [36, 35], [36, 37], [37, 36], [37, 38], [38, 37], [38, 41], [39, 30], [39, 42], [40, 34], [40, 46], [41, 38], [41, 50], [42, 39], [42, 43], [43, 42], [43, 44], [44, 43], [44, 45], [44, 51], [45, 44], [45, 46], [46, 40], [46, 45], [46, 47], [47, 46], [47, 48], [48, 47], [48, 49], [48, 52], [49, 48], [49, 50], [50, 41], [50, 49], [51, 44], [52, 48]], "max_experiments": 75, "sample_name": "Hummingbird", "n_registers": 1, "credits_required": true, "online_date": "2019-10-01T04:00:00+00:00", "description": "53 qubit device", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_rochester", "backend_version": "1.2.0", "n_qubits": 53, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [21, 28], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [25, 29], [26, 25], [26, 27], [27, 18], [27, 26], [28, 21], [28, 32], [29, 25], [29, 36], [30, 31], [30, 39], [31, 30], [31, 32], [32, 28], [32, 31], [32, 33], [33, 32], [33, 34], [34, 33], [34, 35], [34, 40], [35, 34], [35, 36], [36, 29], [36, 35], [36, 37], [37, 36], [37, 38], [38, 37], [38, 41], [39, 30], [39, 42], [40, 34], [40, 46], [41, 38], [41, 50], [42, 39], [42, 43], [43, 42], [43, 44], [44, 43], [44, 45], [44, 51], [45, 44], [45, 46], [46, 40], [46, 45], [46, 47], [47, 46], [47, 48], [48, 47], [48, 49], [48, 52], [49, 48], [49, 50], [50, 41], [50, 49], [51, 44], [52, 48]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 5], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 6], [5, 0], [5, 9], [6, 4], [6, 13], [7, 8], [7, 16], [8, 7], [8, 9], [9, 5], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [11, 17], [12, 11], [12, 13], [13, 6], [13, 12], [13, 14], [14, 13], [14, 15], [15, 14], [15, 18], [16, 7], [16, 19], [17, 11], [17, 23], [18, 15], [18, 27], [19, 16], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [21, 28], [22, 21], [22, 23], [23, 17], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [25, 29], [26, 25], [26, 27], [27, 18], [27, 26], [28, 21], [28, 32], [29, 25], [29, 36], [30, 31], [30, 39], [31, 30], [31, 32], [32, 28], [32, 31], [32, 33], [33, 32], [33, 34], [34, 33], [34, 35], [34, 40], [35, 34], [35, 36], [36, 29], [36, 35], [36, 37], [37, 36], [37, 38], [38, 37], [38, 41], [39, 30], [39, 42], [40, 34], [40, 46], [41, 38], [41, 50], [42, 39], [42, 43], [43, 42], [43, 44], [44, 43], [44, 45], [44, 51], [45, 44], [45, 46], [46, 40], [46, 45], [46, 47], [47, 46], [47, 48], [48, 47], [48, 49], [48, 52], [49, 48], [49, 50], [50, 41], [50, 49], [51, 44], [52, 48]], "max_experiments": 75, "sample_name": "Hummingbird", "n_registers": 1, "credits_required": true, "online_date": "2019-10-01T04:00:00+00:00", "description": "53 qubit device", "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52]], "quantum_volume": 8, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/rome/conf_rome.json b/qiskit/providers/fake_provider/backends/rome/conf_rome.json index 9064ba74b8cc..d34b02c91a27 100644 --- a/qiskit/providers/fake_provider/backends/rome/conf_rome.json +++ b/qiskit/providers/fake_provider/backends/rome/conf_rome.json @@ -1 +1 @@ -{"backend_name": "ibmq_rome", "backend_version": "1.3.16", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["u2", "u3", "shiftf", "measure", "sx", "play", "acquire", "cx", "reset", "x", "delay", "u1", "setf", "rz", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-03-23T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u0", "u2", "u3", "d1", "m1", "u1"], ["u2", "u3", "u4", "d2", "u5", "m2"], ["u6", "m3", "u7", "d3", "u4", "u5"], ["u7", "d4", "u6", "m4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.46870423852159, 5.46870423852159], [4.270105900634483, 5.270105900634482], [4.515175269951426, 5.515175269951426], [4.759259517780883, 5.759259517780883], [4.497613924574336, 5.497613924574336]], "meas_lo_range": [[6.923525326, 7.923525326000001], [6.6679560780000005, 7.6679560780000005], [6.816091357, 7.816091357], [6.884056996000001, 7.884056996000001], [6.747308081000001, 7.747308081000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.121376713496892, "delta1": -2.0572320855686512, "delta2": -2.1219857492779215, "delta3": -2.091175183242651, "delta4": -2.1322677360148967, "jq0q1": 0.008401931549453526, "jq1q2": 0.00827615700717255, "jq2q3": 0.01043348816290951, "jq3q4": 0.009434356217567021, "omegad0": 1.1245451766716479, "omegad1": 1.6033759788340276, "omegad2": 0.9370352535163454, "omegad3": 1.0294259286140768, "omegad4": 0.9251162215202127, "wq0": 31.21928946719979, "wq1": 29.971459308557222, "wq2": 31.51127556908921, "wq3": 33.044902128765244, "wq4": 31.400934381841573}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_rome", "backend_version": "1.3.16", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["u2", "u3", "shiftf", "measure", "sx", "play", "acquire", "cx", "reset", "x", "delay", "u1", "setf", "rz", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-03-23T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["u0", "d0", "u1", "m0"], ["u0", "u2", "u3", "d1", "m1", "u1"], ["u2", "u3", "u4", "d2", "u5", "m2"], ["u6", "m3", "u7", "d3", "u4", "u5"], ["u7", "d4", "u6", "m4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.46870423852159, 5.46870423852159], [4.270105900634483, 5.270105900634482], [4.515175269951426, 5.515175269951426], [4.759259517780883, 5.759259517780883], [4.497613924574336, 5.497613924574336]], "meas_lo_range": [[6.923525326, 7.923525326000001], [6.6679560780000005, 7.6679560780000005], [6.816091357, 7.816091357], [6.884056996000001, 7.884056996000001], [6.747308081000001, 7.747308081000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.121376713496892, "delta1": -2.0572320855686512, "delta2": -2.1219857492779215, "delta3": -2.091175183242651, "delta4": -2.1322677360148967, "jq0q1": 0.008401931549453526, "jq1q2": 0.00827615700717255, "jq2q3": 0.01043348816290951, "jq3q4": 0.009434356217567021, "omegad0": 1.1245451766716479, "omegad1": 1.6033759788340276, "omegad2": 0.9370352535163454, "omegad3": 1.0294259286140768, "omegad4": 0.9251162215202127, "wq0": 31.21928946719979, "wq1": 29.971459308557222, "wq2": 31.51127556908921, "wq3": 33.044902128765244, "wq4": 31.400934381841573}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/rueschlikon/fake_rueschlikon.py b/qiskit/providers/fake_provider/backends/rueschlikon/fake_rueschlikon.py index e26b0bbf5c7b..8dbf34c760e5 100644 --- a/qiskit/providers/fake_provider/backends/rueschlikon/fake_rueschlikon.py +++ b/qiskit/providers/fake_provider/backends/rueschlikon/fake_rueschlikon.py @@ -60,7 +60,7 @@ def __init__(self): backend_version="0.0.0", n_qubits=16, basis_gates=["u1", "u2", "u3", "cx", "id"], - simulator=False, + simulator=True, local=True, conditional=False, open_pulse=False, diff --git a/qiskit/providers/fake_provider/backends/santiago/conf_santiago.json b/qiskit/providers/fake_provider/backends/santiago/conf_santiago.json index 3469fad47a9e..4973789a7753 100644 --- a/qiskit/providers/fake_provider/backends/santiago/conf_santiago.json +++ b/qiskit/providers/fake_provider/backends/santiago/conf_santiago.json @@ -1 +1 @@ -{"backend_name": "ibmq_santiago", "backend_version": "1.3.14", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "acquire", "u3", "id", "sx", "cx", "u2", "measure", "x", "reset", "play", "shiftf", "setf", "u1", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "d0", "u0", "u1"], ["u0", "u3", "u2", "d1", "m1", "u1"], ["u4", "u3", "u2", "d2", "m2", "u5"], ["u4", "u6", "m3", "u7", "d3", "u5"], ["u6", "u7", "m4", "d4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.333426569986278, 5.333426569986278], [4.123610393238304, 5.1236103932383035], [4.320534248353357, 5.320534248353357], [4.242310938423291, 5.242310938423292], [4.316324571878743, 5.316324571878743]], "meas_lo_range": [[6.952624018000001, 7.952624018000001], [6.701014434, 7.701014434], [6.837332258, 7.837332258000001], [6.901770712, 7.901770712], [6.775814414, 7.775814414]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.148127849071491, "delta1": -2.0623435150768743, "delta2": -2.142982850985087, "delta3": -2.137118237032298, "delta4": -2.154596484455155, "jq0q1": 0.007378105608801839, "jq1q2": 0.007268700678758498, "jq2q3": 0.007255936195908655, "jq3q4": 0.006881064755295537, "omegad0": 1.0067268608035027, "omegad1": 0.9818467635477356, "omegad2": 0.981974502428859, "omegad3": 1.0046505380033994, "omegad4": 0.9969553075463392, "wq0": 30.369314807869202, "wq1": 29.051000888917738, "wq2": 30.2883099620098, "wq3": 29.796818410378265, "wq4": 30.26185978463654}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_santiago", "backend_version": "1.3.14", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "acquire", "u3", "id", "sx", "cx", "u2", "measure", "x", "reset", "play", "shiftf", "setf", "u1", "delay"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "family: Falcon, revision: 4, segment: L", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "5 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "L"}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "d0", "u0", "u1"], ["u0", "u3", "u2", "d1", "m1", "u1"], ["u4", "u3", "u2", "d2", "m2", "u5"], ["u4", "u6", "m3", "u7", "d3", "u5"], ["u6", "u7", "m4", "d4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.333426569986278, 5.333426569986278], [4.123610393238304, 5.1236103932383035], [4.320534248353357, 5.320534248353357], [4.242310938423291, 5.242310938423292], [4.316324571878743, 5.316324571878743]], "meas_lo_range": [[6.952624018000001, 7.952624018000001], [6.701014434, 7.701014434], [6.837332258, 7.837332258000001], [6.901770712, 7.901770712], [6.775814414, 7.775814414]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,1)}(t)+U_{4}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,4)}(t)+U_{5}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad1*X2||U3", "omegad3*X2||U4", "omegad4*X3||U6", "omegad2*X3||U5", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.148127849071491, "delta1": -2.0623435150768743, "delta2": -2.142982850985087, "delta3": -2.137118237032298, "delta4": -2.154596484455155, "jq0q1": 0.007378105608801839, "jq1q2": 0.007268700678758498, "jq2q3": 0.007255936195908655, "jq3q4": 0.006881064755295537, "omegad0": 1.0067268608035027, "omegad1": 0.9818467635477356, "omegad2": 0.981974502428859, "omegad3": 1.0046505380033994, "omegad4": 0.9969553075463392, "wq0": 30.369314807869202, "wq1": 29.051000888917738, "wq2": 30.2883099620098, "wq3": 29.796818410378265, "wq4": 30.26185978463654}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/sherbrooke/conf_sherbrooke.json b/qiskit/providers/fake_provider/backends/sherbrooke/conf_sherbrooke.json index 05bd60792562..e1ab250a1789 100644 --- a/qiskit/providers/fake_provider/backends/sherbrooke/conf_sherbrooke.json +++ b/qiskit/providers/fake_provider/backends/sherbrooke/conf_sherbrooke.json @@ -1 +1 @@ -{"backend_name": "ibm_sherbrooke", "backend_version": "1.2.1", "n_qubits": 127, "basis_gates": ["rz", "sx", "x", "ecr"], "gates": [{"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], 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[6.857728839916036, 7.857728839916036], [6.283577771473882, 7.283577771473882], [6.457948531874994, 7.457948531874994], [6.338735186459926, 7.338735186459926], [6.397740875752266, 7.397740875752266], [6.453436491489718, 7.453436491489718]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) \\\\ & + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{1}^{(1,2)}(t)+U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,3}(U_{2}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{4}^{(4,15)}(t)+U_{3}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{5}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{6}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{7}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,7)}(t)+U_{9}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{10}^{(10,9)}(t)+U_{11}^{(10,11)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{12}^{(11,12)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{13}^{(12,13)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,14}(U_{15}^{(14,18)}(t)+U_{14}^{(14,0)}(t))\\sigma_{14}^{X} + \\Omega_{d,16}(U_{16}^{(16,8)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{17}^{(17,12)}(t)+U_{18}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{19}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{20}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,20}(U_{21}^{(20,33)}(t))\\sigma_{20}^{X} \\\\ & + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} \\\\ & + \\Omega_{d,23}(U_{25}^{(23,22)}(t)+U_{26}^{(23,24)}(t))\\sigma_{23}^{X} + \\Omega_{d,25}(U_{27}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{28}^{(26,16)}(t)+U_{30}^{(26,27)}(t)+U_{29}^{(26,25)}(t))\\sigma_{26}^{X} + \\Omega_{d,28}(U_{31}^{(28,27)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,29}(U_{33}^{(29,30)}(t)+U_{32}^{(29,28)}(t))\\sigma_{29}^{X} + \\Omega_{d,31}(U_{35}^{(31,32)}(t)+U_{34}^{(31,30)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{36}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{37}^{(33,39)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{38}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{39}^{(35,28)}(t)+U_{40}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{41}^{(36,51)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{42}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{43}^{(38,39)}(t))\\sigma_{38}^{X} + \\Omega_{d,40}(U_{44}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,41}(U_{46}^{(41,53)}(t)+U_{45}^{(41,40)}(t))\\sigma_{41}^{X} + \\Omega_{d,42}(U_{47}^{(42,41)}(t))\\sigma_{42}^{X} \\\\ & + \\Omega_{d,43}(U_{50}^{(43,44)}(t)+U_{49}^{(43,42)}(t)+U_{48}^{(43,34)}(t))\\sigma_{43}^{X} + \\Omega_{d,45}(U_{52}^{(45,46)}(t)+U_{51}^{(45,44)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,47}(U_{54}^{(47,48)}(t)+U_{53}^{(47,46)}(t))\\sigma_{47}^{X} + \\Omega_{d,49}(U_{56}^{(49,50)}(t)+U_{55}^{(49,48)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{57}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,52}(U_{58}^{(52,37)}(t))\\sigma_{52}^{X} \\\\ & + \\Omega_{d,53}(U_{59}^{(53,60)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{60}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{61}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{63}^{(56,57)}(t)+U_{62}^{(56,52)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{64}^{(57,58)}(t))\\sigma_{57}^{X} + \\Omega_{d,59}(U_{65}^{(59,58)}(t)+U_{66}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,61}(U_{67}^{(61,60)}(t)+U_{68}^{(61,62)}(t))\\sigma_{61}^{X} + \\Omega_{d,63}(U_{70}^{(63,64)}(t)+U_{69}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{71}^{(64,54)}(t)+U_{72}^{(64,65)}(t))\\sigma_{64}^{X} + \\Omega_{d,66}(U_{73}^{(66,65)}(t))\\sigma_{66}^{X} \\\\ & + \\Omega_{d,67}(U_{74}^{(67,66)}(t))\\sigma_{67}^{X} + \\Omega_{d,68}(U_{75}^{(68,55)}(t)+U_{76}^{(68,67)}(t))\\sigma_{68}^{X} \\\\ & + \\Omega_{d,69}(U_{78}^{(69,70)}(t)+U_{77}^{(69,68)}(t))\\sigma_{69}^{X} + \\Omega_{d,71}(U_{79}^{(71,58)}(t)+U_{80}^{(71,77)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,72}(U_{81}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{83}^{(73,85)}(t)+U_{82}^{(73,66)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{84}^{(74,70)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{85}^{(75,76)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,77}(U_{86}^{(77,76)}(t))\\sigma_{77}^{X} + \\Omega_{d,78}(U_{88}^{(78,79)}(t)+U_{87}^{(78,77)}(t))\\sigma_{78}^{X} \\\\ & + \\Omega_{d,79}(U_{89}^{(79,91)}(t))\\sigma_{79}^{X} + \\Omega_{d,80}(U_{90}^{(80,79)}(t)+U_{91}^{(80,81)}(t))\\sigma_{80}^{X} \\\\ & + \\Omega_{d,81}(U_{93}^{(81,82)}(t)+U_{92}^{(81,72)}(t))\\sigma_{81}^{X} + \\Omega_{d,82}(U_{94}^{(82,83)}(t))\\sigma_{82}^{X} \\\\ & + \\Omega_{d,83}(U_{95}^{(83,84)}(t))\\sigma_{83}^{X} + \\Omega_{d,85}(U_{96}^{(85,84)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{98}^{(86,87)}(t)+U_{97}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{99}^{(87,88)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,89}(U_{101}^{(89,88)}(t)+U_{100}^{(89,74)}(t))\\sigma_{89}^{X} + \\Omega_{d,90}(U_{103}^{(90,94)}(t)+U_{102}^{(90,75)}(t))\\sigma_{90}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,102)}(t)+U_{104}^{(92,83)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{107}^{(93,106)}(t)+U_{106}^{(93,87)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,95}(U_{109}^{(95,96)}(t)+U_{108}^{(95,94)}(t))\\sigma_{95}^{X} + \\Omega_{d,97}(U_{111}^{(97,98)}(t)+U_{110}^{(97,96)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{112}^{(98,91)}(t))\\sigma_{98}^{X} + \\Omega_{d,99}(U_{114}^{(99,100)}(t)+U_{113}^{(99,98)}(t))\\sigma_{99}^{X} \\\\ & + \\Omega_{d,101}(U_{116}^{(101,102)}(t)+U_{115}^{(101,100)}(t))\\sigma_{101}^{X} + \\Omega_{d,102}(U_{117}^{(102,103)}(t))\\sigma_{102}^{X} \\\\ & + \\Omega_{d,104}(U_{118}^{(104,103)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{119}^{(105,104)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{120}^{(106,105)}(t))\\sigma_{106}^{X} + \\Omega_{d,107}(U_{121}^{(107,106)}(t)+U_{122}^{(107,108)}(t))\\sigma_{107}^{X} \\\\ & + \\Omega_{d,109}(U_{123}^{(109,96)}(t))\\sigma_{109}^{X} + \\Omega_{d,110}(U_{124}^{(110,100)}(t)+U_{125}^{(110,118)}(t))\\sigma_{110}^{X} \\\\ & + \\Omega_{d,111}(U_{126}^{(111,104)}(t))\\sigma_{111}^{X} + \\Omega_{d,112}(U_{128}^{(112,126)}(t)+U_{127}^{(112,108)}(t))\\sigma_{112}^{X} \\\\ & + \\Omega_{d,113}(U_{129}^{(113,114)}(t))\\sigma_{113}^{X} + \\Omega_{d,114}(U_{130}^{(114,109)}(t)+U_{131}^{(114,115)}(t))\\sigma_{114}^{X} \\\\ & + \\Omega_{d,116}(U_{132}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{134}^{(117,118)}(t)+U_{133}^{(117,116)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,119}(U_{136}^{(119,120)}(t)+U_{135}^{(119,118)}(t))\\sigma_{119}^{X} + \\Omega_{d,120}(U_{137}^{(120,121)}(t))\\sigma_{120}^{X} \\\\ & + \\Omega_{d,121}(U_{138}^{(121,122)}(t))\\sigma_{121}^{X} + \\Omega_{d,122}(U_{139}^{(122,111)}(t))\\sigma_{122}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,122)}(t))\\sigma_{123}^{X} + \\Omega_{d,124}(U_{141}^{(124,123)}(t))\\sigma_{124}^{X} \\\\ & + \\Omega_{d,125}(U_{142}^{(125,124)}(t))\\sigma_{125}^{X} + \\Omega_{d,126}(U_{143}^{(126,125)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", 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"jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad2*X1||U1", "omegad0*X1||U0", "omegad2*X3||U2", "omegad15*X4||U4", "omegad3*X4||U3", "omegad4*X5||U5", "omegad5*X6||U6", "omegad6*X7||U7", "omegad7*X8||U8", "omegad9*X8||U9", "omegad9*X10||U10", "omegad11*X10||U11", "omegad12*X11||U12", "omegad13*X12||U13", "omegad18*X14||U15", "omegad0*X14||U14", "omegad8*X16||U16", "omegad12*X17||U17", "omegad30*X17||U18", "omegad19*X18||U19", "omegad20*X19||U20", "omegad33*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad24*X23||U26", "omegad24*X25||U27", "omegad16*X26||U28", "omegad27*X26||U30", "omegad25*X26||U29", "omegad27*X28||U31", "omegad30*X29||U33", "omegad28*X29||U32", "omegad32*X31||U35", "omegad30*X31||U34", "omegad36*X32||U36", "omegad39*X33||U37", "omegad24*X34||U38", "omegad28*X35||U39", "omegad47*X35||U40", "omegad51*X36||U41", "omegad38*X37||U42", "omegad39*X38||U43", "omegad39*X40||U44", "omegad53*X41||U46", "omegad40*X41||U45", "omegad41*X42||U47", "omegad44*X43||U50", "omegad42*X43||U49", "omegad34*X43||U48", "omegad46*X45||U52", "omegad44*X45||U51", "omegad48*X47||U54", "omegad46*X47||U53", "omegad50*X49||U56", "omegad48*X49||U55", "omegad51*X50||U57", "omegad37*X52||U58", "omegad60*X53||U59", "omegad45*X54||U60", "omegad49*X55||U61", "omegad57*X56||U63", "omegad52*X56||U62", "omegad58*X57||U64", "omegad58*X59||U65", "omegad60*X59||U66", "omegad60*X61||U67", "omegad62*X61||U68", "omegad64*X63||U70", "omegad62*X63||U69", "omegad54*X64||U71", "omegad65*X64||U72", "omegad65*X66||U73", "omegad66*X67||U74", "omegad55*X68||U75", "omegad67*X68||U76", "omegad70*X69||U78", "omegad68*X69||U77", "omegad58*X71||U79", "omegad77*X71||U80", "omegad62*X72||U81", "omegad85*X73||U83", "omegad66*X73||U82", "omegad70*X74||U84", "omegad76*X75||U85", "omegad76*X77||U86", "omegad79*X78||U88", "omegad77*X78||U87", "omegad91*X79||U89", "omegad79*X80||U90", "omegad81*X80||U91", "omegad82*X81||U93", "omegad72*X81||U92", "omegad83*X82||U94", "omegad84*X83||U95", "omegad84*X85||U96", "omegad87*X86||U98", "omegad85*X86||U97", "omegad88*X87||U99", "omegad88*X89||U101", "omegad74*X89||U100", "omegad94*X90||U103", "omegad75*X90||U102", "omegad102*X92||U105", "omegad83*X92||U104", "omegad106*X93||U107", "omegad87*X93||U106", "omegad96*X95||U109", "omegad94*X95||U108", "omegad98*X97||U111", "omegad96*X97||U110", "omegad91*X98||U112", "omegad100*X99||U114", "omegad98*X99||U113", "omegad102*X101||U116", "omegad100*X101||U115", "omegad103*X102||U117", "omegad103*X104||U118", "omegad104*X105||U119", "omegad105*X106||U120", "omegad106*X107||U121", "omegad108*X107||U122", "omegad96*X109||U123", "omegad100*X110||U124", "omegad118*X110||U125", "omegad104*X111||U126", "omegad126*X112||U128", "omegad108*X112||U127", "omegad114*X113||U129", "omegad109*X114||U130", "omegad115*X114||U131", "omegad115*X116||U132", "omegad118*X117||U134", "omegad116*X117||U133", "omegad120*X119||U136", "omegad118*X119||U135", "omegad121*X120||U137", "omegad122*X121||U138", "omegad111*X122||U139", "omegad122*X123||U140", "omegad123*X124||U141", "omegad124*X125||U142", "omegad125*X126||U143"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 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"meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) \\\\ & + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{1}^{(1,2)}(t)+U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,3}(U_{2}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{4}^{(4,15)}(t)+U_{3}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{5}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{6}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{7}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,7)}(t)+U_{9}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{10}^{(10,9)}(t)+U_{11}^{(10,11)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{12}^{(11,12)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{13}^{(12,13)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,14}(U_{15}^{(14,18)}(t)+U_{14}^{(14,0)}(t))\\sigma_{14}^{X} + \\Omega_{d,16}(U_{16}^{(16,8)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{17}^{(17,12)}(t)+U_{18}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{19}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{20}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,20}(U_{21}^{(20,33)}(t))\\sigma_{20}^{X} \\\\ & + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} \\\\ & + \\Omega_{d,23}(U_{25}^{(23,22)}(t)+U_{26}^{(23,24)}(t))\\sigma_{23}^{X} + \\Omega_{d,25}(U_{27}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{28}^{(26,16)}(t)+U_{30}^{(26,27)}(t)+U_{29}^{(26,25)}(t))\\sigma_{26}^{X} + \\Omega_{d,28}(U_{31}^{(28,27)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,29}(U_{33}^{(29,30)}(t)+U_{32}^{(29,28)}(t))\\sigma_{29}^{X} + \\Omega_{d,31}(U_{35}^{(31,32)}(t)+U_{34}^{(31,30)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{36}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{37}^{(33,39)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{38}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{39}^{(35,28)}(t)+U_{40}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{41}^{(36,51)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{42}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{43}^{(38,39)}(t))\\sigma_{38}^{X} + \\Omega_{d,40}(U_{44}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,41}(U_{46}^{(41,53)}(t)+U_{45}^{(41,40)}(t))\\sigma_{41}^{X} + \\Omega_{d,42}(U_{47}^{(42,41)}(t))\\sigma_{42}^{X} \\\\ & + \\Omega_{d,43}(U_{50}^{(43,44)}(t)+U_{49}^{(43,42)}(t)+U_{48}^{(43,34)}(t))\\sigma_{43}^{X} + \\Omega_{d,45}(U_{52}^{(45,46)}(t)+U_{51}^{(45,44)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,47}(U_{54}^{(47,48)}(t)+U_{53}^{(47,46)}(t))\\sigma_{47}^{X} + \\Omega_{d,49}(U_{56}^{(49,50)}(t)+U_{55}^{(49,48)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{57}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,52}(U_{58}^{(52,37)}(t))\\sigma_{52}^{X} \\\\ & + \\Omega_{d,53}(U_{59}^{(53,60)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{60}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{61}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{63}^{(56,57)}(t)+U_{62}^{(56,52)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{64}^{(57,58)}(t))\\sigma_{57}^{X} + \\Omega_{d,59}(U_{65}^{(59,58)}(t)+U_{66}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,61}(U_{67}^{(61,60)}(t)+U_{68}^{(61,62)}(t))\\sigma_{61}^{X} + \\Omega_{d,63}(U_{70}^{(63,64)}(t)+U_{69}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{71}^{(64,54)}(t)+U_{72}^{(64,65)}(t))\\sigma_{64}^{X} + \\Omega_{d,66}(U_{73}^{(66,65)}(t))\\sigma_{66}^{X} \\\\ & + \\Omega_{d,67}(U_{74}^{(67,66)}(t))\\sigma_{67}^{X} + \\Omega_{d,68}(U_{75}^{(68,55)}(t)+U_{76}^{(68,67)}(t))\\sigma_{68}^{X} \\\\ & + \\Omega_{d,69}(U_{78}^{(69,70)}(t)+U_{77}^{(69,68)}(t))\\sigma_{69}^{X} + \\Omega_{d,71}(U_{79}^{(71,58)}(t)+U_{80}^{(71,77)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,72}(U_{81}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{83}^{(73,85)}(t)+U_{82}^{(73,66)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{84}^{(74,70)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{85}^{(75,76)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,77}(U_{86}^{(77,76)}(t))\\sigma_{77}^{X} + \\Omega_{d,78}(U_{88}^{(78,79)}(t)+U_{87}^{(78,77)}(t))\\sigma_{78}^{X} \\\\ & + \\Omega_{d,79}(U_{89}^{(79,91)}(t))\\sigma_{79}^{X} + \\Omega_{d,80}(U_{90}^{(80,79)}(t)+U_{91}^{(80,81)}(t))\\sigma_{80}^{X} \\\\ & + \\Omega_{d,81}(U_{93}^{(81,82)}(t)+U_{92}^{(81,72)}(t))\\sigma_{81}^{X} + \\Omega_{d,82}(U_{94}^{(82,83)}(t))\\sigma_{82}^{X} \\\\ & + \\Omega_{d,83}(U_{95}^{(83,84)}(t))\\sigma_{83}^{X} + \\Omega_{d,85}(U_{96}^{(85,84)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{98}^{(86,87)}(t)+U_{97}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{99}^{(87,88)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,89}(U_{101}^{(89,88)}(t)+U_{100}^{(89,74)}(t))\\sigma_{89}^{X} + \\Omega_{d,90}(U_{103}^{(90,94)}(t)+U_{102}^{(90,75)}(t))\\sigma_{90}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,102)}(t)+U_{104}^{(92,83)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{107}^{(93,106)}(t)+U_{106}^{(93,87)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,95}(U_{109}^{(95,96)}(t)+U_{108}^{(95,94)}(t))\\sigma_{95}^{X} + \\Omega_{d,97}(U_{111}^{(97,98)}(t)+U_{110}^{(97,96)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{112}^{(98,91)}(t))\\sigma_{98}^{X} + \\Omega_{d,99}(U_{114}^{(99,100)}(t)+U_{113}^{(99,98)}(t))\\sigma_{99}^{X} \\\\ & + \\Omega_{d,101}(U_{116}^{(101,102)}(t)+U_{115}^{(101,100)}(t))\\sigma_{101}^{X} + \\Omega_{d,102}(U_{117}^{(102,103)}(t))\\sigma_{102}^{X} \\\\ & + \\Omega_{d,104}(U_{118}^{(104,103)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{119}^{(105,104)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{120}^{(106,105)}(t))\\sigma_{106}^{X} + \\Omega_{d,107}(U_{121}^{(107,106)}(t)+U_{122}^{(107,108)}(t))\\sigma_{107}^{X} \\\\ & + \\Omega_{d,109}(U_{123}^{(109,96)}(t))\\sigma_{109}^{X} + \\Omega_{d,110}(U_{124}^{(110,100)}(t)+U_{125}^{(110,118)}(t))\\sigma_{110}^{X} \\\\ & + \\Omega_{d,111}(U_{126}^{(111,104)}(t))\\sigma_{111}^{X} + \\Omega_{d,112}(U_{128}^{(112,126)}(t)+U_{127}^{(112,108)}(t))\\sigma_{112}^{X} \\\\ & + \\Omega_{d,113}(U_{129}^{(113,114)}(t))\\sigma_{113}^{X} + \\Omega_{d,114}(U_{130}^{(114,109)}(t)+U_{131}^{(114,115)}(t))\\sigma_{114}^{X} \\\\ & + \\Omega_{d,116}(U_{132}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{134}^{(117,118)}(t)+U_{133}^{(117,116)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,119}(U_{136}^{(119,120)}(t)+U_{135}^{(119,118)}(t))\\sigma_{119}^{X} + \\Omega_{d,120}(U_{137}^{(120,121)}(t))\\sigma_{120}^{X} \\\\ & + \\Omega_{d,121}(U_{138}^{(121,122)}(t))\\sigma_{121}^{X} + \\Omega_{d,122}(U_{139}^{(122,111)}(t))\\sigma_{122}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,122)}(t))\\sigma_{123}^{X} + \\Omega_{d,124}(U_{141}^{(124,123)}(t))\\sigma_{124}^{X} \\\\ & + \\Omega_{d,125}(U_{142}^{(125,124)}(t))\\sigma_{125}^{X} + \\Omega_{d,126}(U_{143}^{(126,125)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad2*X1||U1", "omegad0*X1||U0", "omegad2*X3||U2", "omegad15*X4||U4", "omegad3*X4||U3", "omegad4*X5||U5", "omegad5*X6||U6", "omegad6*X7||U7", "omegad7*X8||U8", "omegad9*X8||U9", "omegad9*X10||U10", "omegad11*X10||U11", "omegad12*X11||U12", "omegad13*X12||U13", "omegad18*X14||U15", "omegad0*X14||U14", "omegad8*X16||U16", "omegad12*X17||U17", "omegad30*X17||U18", "omegad19*X18||U19", "omegad20*X19||U20", "omegad33*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad24*X23||U26", "omegad24*X25||U27", "omegad16*X26||U28", "omegad27*X26||U30", "omegad25*X26||U29", "omegad27*X28||U31", "omegad30*X29||U33", "omegad28*X29||U32", "omegad32*X31||U35", "omegad30*X31||U34", "omegad36*X32||U36", "omegad39*X33||U37", "omegad24*X34||U38", "omegad28*X35||U39", "omegad47*X35||U40", "omegad51*X36||U41", "omegad38*X37||U42", "omegad39*X38||U43", "omegad39*X40||U44", "omegad53*X41||U46", "omegad40*X41||U45", "omegad41*X42||U47", "omegad44*X43||U50", "omegad42*X43||U49", "omegad34*X43||U48", "omegad46*X45||U52", "omegad44*X45||U51", "omegad48*X47||U54", "omegad46*X47||U53", "omegad50*X49||U56", "omegad48*X49||U55", "omegad51*X50||U57", "omegad37*X52||U58", "omegad60*X53||U59", "omegad45*X54||U60", "omegad49*X55||U61", "omegad57*X56||U63", "omegad52*X56||U62", "omegad58*X57||U64", "omegad58*X59||U65", "omegad60*X59||U66", "omegad60*X61||U67", "omegad62*X61||U68", "omegad64*X63||U70", "omegad62*X63||U69", "omegad54*X64||U71", "omegad65*X64||U72", "omegad65*X66||U73", "omegad66*X67||U74", "omegad55*X68||U75", "omegad67*X68||U76", "omegad70*X69||U78", "omegad68*X69||U77", "omegad58*X71||U79", "omegad77*X71||U80", "omegad62*X72||U81", "omegad85*X73||U83", "omegad66*X73||U82", "omegad70*X74||U84", "omegad76*X75||U85", "omegad76*X77||U86", "omegad79*X78||U88", "omegad77*X78||U87", "omegad91*X79||U89", "omegad79*X80||U90", "omegad81*X80||U91", "omegad82*X81||U93", "omegad72*X81||U92", "omegad83*X82||U94", "omegad84*X83||U95", "omegad84*X85||U96", "omegad87*X86||U98", "omegad85*X86||U97", "omegad88*X87||U99", "omegad88*X89||U101", "omegad74*X89||U100", "omegad94*X90||U103", "omegad75*X90||U102", "omegad102*X92||U105", "omegad83*X92||U104", "omegad106*X93||U107", "omegad87*X93||U106", "omegad96*X95||U109", "omegad94*X95||U108", "omegad98*X97||U111", "omegad96*X97||U110", "omegad91*X98||U112", "omegad100*X99||U114", "omegad98*X99||U113", "omegad102*X101||U116", "omegad100*X101||U115", "omegad103*X102||U117", "omegad103*X104||U118", "omegad104*X105||U119", "omegad105*X106||U120", "omegad106*X107||U121", "omegad108*X107||U122", "omegad96*X109||U123", "omegad100*X110||U124", "omegad118*X110||U125", "omegad104*X111||U126", "omegad126*X112||U128", "omegad108*X112||U127", "omegad114*X113||U129", "omegad109*X114||U130", "omegad115*X114||U131", "omegad115*X116||U132", "omegad118*X117||U134", "omegad116*X117||U133", "omegad120*X119||U136", "omegad118*X119||U135", "omegad121*X120||U137", "omegad122*X121||U138", "omegad111*X122||U139", "omegad122*X123||U140", "omegad123*X124||U141", "omegad124*X125||U142", "omegad125*X126||U143"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 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{"qubits": [43, 34]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [45, 44]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [45, 46]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [47, 46]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [47, 48]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [49, 48]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [49, 50]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [50, 51]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [52, 37]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [54, 45]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [56, 52]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [64, 65]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [66, 65]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [68, 55]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [68, 67]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [69, 68]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [69, 70]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [71, 58]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [72, 62]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [73, 66]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [73, 85]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [77, 76]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [78, 77]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [78, 79]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [79, 91]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [80, 79]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [80, 81]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [82, 83]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [83, 84]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [86, 85]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [86, 87]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/singapore/conf_singapore.json b/qiskit/providers/fake_provider/backends/singapore/conf_singapore.json index 4e2166aea49c..74b2bd3396e0 100644 --- a/qiskit/providers/fake_provider/backends/singapore/conf_singapore.json +++ b/qiskit/providers/fake_provider/backends/singapore/conf_singapore.json @@ -1 +1 @@ -{"backend_name": "ibmq_singapore", "backend_version": "1.1.13", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Singapore", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 16, "qubit_channel_mapping": [["u1", "d0", "u0", "m0"], ["u4", "u2", "m1", "u12", "u1", "d1", "u0", "u3"], ["u4", "u2", "u5", "m2", "u6", "d2"], ["d3", "u9", "u5", "m3", "u7", "u8", "u6", "u18"], ["u7", "u9", "d4", "m4"], ["m5", "u11", "u23", "d5", "u10", "u13"], ["m6", "u15", "u12", "u10", "u3", "d6", "u13", "u14"], ["m7", "u17", "u15", "u16", "u19", "u14", "d7", "u28"], ["u21", "m8", "u16", "u19", "u20", "u8", "d8", "u18"], ["u21", "u22", "u34", "u20", "d9", "m9"], ["u25", "m10", "d10", "u11", "u23", "u24"], ["u25", "u37", "m11", "u27", "u29", "u24", "d11", "u26"], ["d12", "u17", "u29", "u30", "u31", "m12", "u26", "u28"], ["m13", "u33", "u42", "d13", "u30", "u31", "u32", "u35"], ["d14", "u22", "u34", "m14", "u32", "u35"], ["m15", "d15", "u38", "u36"], ["u37", "u40", "m16", "u27", "u39", "u38", "d16", "u36"], ["u40", "d17", "u43", "m17", "u39", "u41"], ["u44", "d18", "u33", "u42", "u45", "u43", "m18", "u41"], ["m19", "u45", "d19", "u44"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.176321350062806, 5.176321350062806], [4.282790529176784, 5.282790529176784], [4.185502719873838, 5.185502719873838], [4.21767569718313, 5.21767569718313], [4.064147093422013, 5.064147093422013], [3.808846173810418, 4.808846173810418], [4.162686808975333, 5.162686808975334], [4.331134269144208, 5.331134269144208], [4.123097496697334, 5.123097496697334], [4.197980034429182, 5.197980034429182], [3.9243193490113266, 4.924319349011326], [4.021508270412113, 5.021508270412114], [4.10416601470807, 5.1041660147080705], [4.125160645713068, 5.125160645713068], [4.257535595961577, 5.257535595961577], [3.9883207852468425, 4.9883207852468425], [4.238359118088121, 5.238359118088121], [4.383190383079356, 5.383190383079356], [4.028968332514318, 5.028968332514319], [4.19779891351244, 5.19779891351244]], "meas_lo_range": [[6.785777689000001, 7.785777689000001], [6.555576728, 7.555576728], [6.720664312, 7.720664312], [6.618610929000001, 7.618610929000001], [6.693309034, 7.693309034], [6.500534077, 7.500534077], [6.637857804, 7.637857804], [6.521968581, 7.521968581], [6.7839043850000005, 7.7839043850000005], [6.591852045, 7.591852045], [6.795858600000001, 7.795858600000001], [6.564261930000001, 7.564261930000001], [6.7226899300000005, 7.7226899300000005], [6.648983726, 7.648983726000001], [6.681472156000001, 7.681472156000001], [6.513838988000001, 7.513838988000001], [6.667396121, 7.667396121], [6.5362908310000005, 7.5362908310000005], [6.807096121000001, 7.807096121000001], [6.60740465, 7.60740465]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": 0, "delta1": 0, "delta10": 0, "delta11": 0, "delta12": 0, "delta13": 0, "delta14": 0, "delta15": 0, "delta16": 0, "delta17": 0, "delta18": 0, "delta19": 0, "delta2": 0, "delta3": 0, "delta4": 0, "delta5": 0, "delta6": 0, "delta7": 0, "delta8": 0, "delta9": 0, "jq0q1": 0.01433892239814213, "jq10q11": 0.010525409616727677, "jq11q12": 0.015112292332169557, "jq11q16": 0.007383931535627764, "jq12q13": 0.00954723740103017, "jq13q14": 0.011743925884500983, "jq13q18": 0.008449187811309803, "jq15q16": 0.01268272946810536, "jq16q17": 0.014027838431486793, "jq17q18": 0.009991545329492273, "jq18q19": 0.005039913180091045, "jq1q2": 0.01783155649165556, "jq1q6": 0.007455172260903687, "jq2q3": 0.010483442612952266, "jq3q4": 0.010965763703036821, "jq3q8": 0.00778913964520363, "jq5q10": 0, "jq5q6": 0.014034790830320562, "jq6q7": 0.013132052583182657, "jq7q12": 0.00920812439711768, "jq7q8": 0.011895087847184233, "jq8q9": 0.013211093140145862, "jq9q14": 0.007991177432644736, "omegad0": 0.47949242926005, "omegad1": 0.46118734073033163, "omegad10": 0.3943799172798586, "omegad11": 0.43262586054427343, "omegad12": 0.40091693264351463, "omegad13": 0.37874281938149945, "omegad14": 0.4306310161386568, "omegad15": 0.36146990854842387, "omegad16": 0.6212952725431784, "omegad17": 0.4861452519032759, "omegad18": 0.28078096538595176, "omegad19": 2.1407654262304083, "omegad2": 0.5104562308366655, "omegad3": 0.36262688270569465, "omegad4": 0.5194338453827934, "omegad5": 0.34447607292812266, "omegad6": 0.4290526887210772, "omegad7": 0.48299294736914783, "omegad8": 0.40155938463476015, "omegad9": 0.6251285757697845, "wq0": 29.382193598364832, "wq1": 30.051159180241246, "wq10": 27.798818327978314, "wq11": 28.409474330944377, "wq12": 28.928828255429337, "wq13": 29.060741412489598, "wq14": 29.892477754929654, "wq15": 28.200951211771702, "wq16": 29.7719883909117, "wq17": 30.68199006712486, "wq18": 28.456347283535596, "wq19": 29.517141109465587, "wq2": 29.439881846261294, "wq3": 29.642030624579252, "wq4": 28.67738195719561, "wq5": 27.073278970182592, "wq6": 29.296525250133886, "wq7": 30.35491185689868, "wq8": 29.047778264907418, "wq9": 29.518279125748485}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file +{"backend_name": "ibmq_singapore", "backend_version": "1.1.13", "n_qubits": 20, "basis_gates": ["id", "u1", "u2", "u3", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0,0,0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u1", "parameters": ["lambda"], "qasm_def": "gate u1(lambda) q { U(0,0,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u2", "parameters": ["phi", "lambda"], "qasm_def": "gate u2(phi,lambda) q { U(pi/2,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "u3", "parameters": ["theta", "phi", "lambda"], "qasm_def": "gate u3(theta,phi,lambda) q { U(theta,phi,lambda) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q1,q2 { CX q1,q2; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 6], [2, 1], [2, 3], [3, 2], [3, 4], [3, 8], [4, 3], [5, 6], [5, 10], [6, 1], [6, 5], [6, 7], [7, 6], [7, 8], [7, 12], [8, 3], [8, 7], [8, 9], [9, 8], [9, 14], [10, 5], [10, 11], [11, 10], [11, 12], [11, 16], [12, 7], [12, 11], [12, 13], [13, 12], [13, 14], [13, 18], [14, 9], [14, 13], [15, 16], [16, 11], [16, 15], [16, 17], [17, 16], [17, 18], [18, 13], [18, 17], [18, 19], [19, 18]], "max_experiments": 900, "sample_name": "HexV2", "n_registers": 1, "credits_required": true, "online_date": "2019-09-13T04:00:00+00:00", "description": "20 qubit device Singapore", "allow_q_object": true, "parametric_pulses": [], "quantum_volume": 16, "qubit_channel_mapping": [["u1", "d0", "u0", "m0"], ["u4", "u2", "m1", "u12", "u1", "d1", "u0", "u3"], ["u4", "u2", "u5", "m2", "u6", "d2"], ["d3", "u9", "u5", "m3", "u7", "u8", "u6", "u18"], ["u7", "u9", "d4", "m4"], ["m5", "u11", "u23", "d5", "u10", "u13"], ["m6", "u15", "u12", "u10", "u3", "d6", "u13", "u14"], ["m7", "u17", "u15", "u16", "u19", "u14", "d7", "u28"], ["u21", "m8", "u16", "u19", "u20", "u8", "d8", "u18"], ["u21", "u22", "u34", "u20", "d9", "m9"], ["u25", "m10", "d10", "u11", "u23", "u24"], ["u25", "u37", "m11", "u27", "u29", "u24", "d11", "u26"], ["d12", "u17", "u29", "u30", "u31", "m12", "u26", "u28"], ["m13", "u33", "u42", "d13", "u30", "u31", "u32", "u35"], ["d14", "u22", "u34", "m14", "u32", "u35"], ["m15", "d15", "u38", "u36"], ["u37", "u40", "m16", "u27", "u39", "u38", "d16", "u36"], ["u40", "d17", "u43", "m17", "u39", "u41"], ["u44", "d18", "u33", "u42", "u45", "u43", "m18", "u41"], ["m19", "u45", "d19", "u44"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 46, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.176321350062806, 5.176321350062806], [4.282790529176784, 5.282790529176784], [4.185502719873838, 5.185502719873838], [4.21767569718313, 5.21767569718313], [4.064147093422013, 5.064147093422013], [3.808846173810418, 4.808846173810418], [4.162686808975333, 5.162686808975334], [4.331134269144208, 5.331134269144208], [4.123097496697334, 5.123097496697334], [4.197980034429182, 5.197980034429182], [3.9243193490113266, 4.924319349011326], [4.021508270412113, 5.021508270412114], [4.10416601470807, 5.1041660147080705], [4.125160645713068, 5.125160645713068], [4.257535595961577, 5.257535595961577], [3.9883207852468425, 4.9883207852468425], [4.238359118088121, 5.238359118088121], [4.383190383079356, 5.383190383079356], [4.028968332514318, 5.028968332514319], [4.19779891351244, 5.19779891351244]], "meas_lo_range": [[6.785777689000001, 7.785777689000001], [6.555576728, 7.555576728], [6.720664312, 7.720664312], [6.618610929000001, 7.618610929000001], [6.693309034, 7.693309034], [6.500534077, 7.500534077], [6.637857804, 7.637857804], [6.521968581, 7.521968581], [6.7839043850000005, 7.7839043850000005], [6.591852045, 7.591852045], [6.795858600000001, 7.795858600000001], [6.564261930000001, 7.564261930000001], [6.7226899300000005, 7.7226899300000005], [6.648983726, 7.648983726000001], [6.681472156000001, 7.681472156000001], [6.513838988000001, 7.513838988000001], [6.667396121, 7.667396121], [6.5362908310000005, 7.5362908310000005], [6.807096121000001, 7.807096121000001], [6.60740465, 7.60740465]], "meas_kernels": ["boxcar"], "discriminators": ["linear_discriminator", "quadratic_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{19}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{11,16}(\\sigma_{11}^{+}\\sigma_{16}^{-}+\\sigma_{11}^{-}\\sigma_{16}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{7,12}(\\sigma_{7}^{+}\\sigma_{12}^{-}+\\sigma_{7}^{-}\\sigma_{12}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{15,16}(\\sigma_{15}^{+}\\sigma_{16}^{-}+\\sigma_{15}^{-}\\sigma_{16}^{+}) + J_{1,6}(\\sigma_{1}^{+}\\sigma_{6}^{-}+\\sigma_{1}^{-}\\sigma_{6}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{16,17}(\\sigma_{16}^{+}\\sigma_{17}^{-}+\\sigma_{16}^{-}\\sigma_{17}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{9,14}(\\sigma_{9}^{+}\\sigma_{14}^{-}+\\sigma_{9}^{-}\\sigma_{14}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{5,10}(\\sigma_{5}^{+}\\sigma_{10}^{-}+\\sigma_{5}^{-}\\sigma_{10}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) \\\\ & + J_{3,8}(\\sigma_{3}^{+}\\sigma_{8}^{-}+\\sigma_{3}^{-}\\sigma_{8}^{+}) + J_{13,18}(\\sigma_{13}^{+}\\sigma_{18}^{-}+\\sigma_{13}^{-}\\sigma_{18}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,6)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t)+U_{8}^{(3,8)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,10)}(t)+U_{10}^{(5,6)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{12}^{(6,1)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{15}^{(7,6)}(t)+U_{16}^{(7,8)}(t)+U_{17}^{(7,12)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{19}^{(8,7)}(t)+U_{18}^{(8,3)}(t)+U_{20}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{21}^{(9,8)}(t)+U_{22}^{(9,14)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{24}^{(10,11)}(t)+U_{23}^{(10,5)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{25}^{(11,10)}(t)+U_{26}^{(11,12)}(t)+U_{27}^{(11,16)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{28}^{(12,7)}(t)+U_{30}^{(12,13)}(t)+U_{29}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{31}^{(13,12)}(t)+U_{32}^{(13,14)}(t)+U_{33}^{(13,18)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{34}^{(14,9)}(t)+U_{35}^{(14,13)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{36}^{(15,16)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{38}^{(16,15)}(t)+U_{39}^{(16,17)}(t)+U_{37}^{(16,11)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{41}^{(17,18)}(t)+U_{40}^{(17,16)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{42}^{(18,13)}(t)+U_{43}^{(18,17)}(t)+U_{44}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{45}^{(19,18)}(t))\\sigma_{19}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,19,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,19,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,19,-delta{i}/2*O{i}]", "_SUM[i,0,19,omegad{i}*X{i}||D{i}]", "jq11q16*Sp11*Sm16", "jq11q16*Sm11*Sp16", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq7q12*Sp7*Sm12", "jq7q12*Sm7*Sp12", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq15q16*Sp15*Sm16", "jq15q16*Sm15*Sp16", "jq1q6*Sp1*Sm6", "jq1q6*Sm1*Sp6", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq16q17*Sp16*Sm17", "jq16q17*Sm16*Sp17", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq9q14*Sp9*Sm14", "jq9q14*Sm9*Sp14", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq5q10*Sp5*Sm10", "jq5q10*Sm5*Sp10", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq3q8*Sp3*Sm8", "jq3q8*Sm3*Sp8", "jq13q18*Sp13*Sm18", "jq13q18*Sm13*Sp18", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "omegad1*X0||U0", "omegad0*X1||U1", "omegad6*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad4*X3||U7", "omegad2*X3||U6", "omegad8*X3||U8", "omegad3*X4||U9", "omegad10*X5||U11", "omegad6*X5||U10", "omegad7*X6||U14", "omegad1*X6||U12", "omegad5*X6||U13", "omegad6*X7||U15", "omegad8*X7||U16", "omegad12*X7||U17", "omegad7*X8||U19", "omegad3*X8||U18", "omegad9*X8||U20", "omegad8*X9||U21", "omegad14*X9||U22", "omegad11*X10||U24", "omegad5*X10||U23", "omegad10*X11||U25", "omegad12*X11||U26", "omegad16*X11||U27", "omegad7*X12||U28", "omegad13*X12||U30", "omegad11*X12||U29", "omegad12*X13||U31", "omegad14*X13||U32", "omegad18*X13||U33", "omegad9*X14||U34", "omegad13*X14||U35", "omegad16*X15||U36", "omegad15*X16||U38", "omegad17*X16||U39", "omegad11*X16||U37", "omegad18*X17||U41", "omegad16*X17||U40", "omegad13*X18||U42", "omegad17*X18||U43", "omegad19*X18||U44", "omegad18*X19||U45"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3}, "vars": {"delta0": 0, "delta1": 0, "delta10": 0, "delta11": 0, "delta12": 0, "delta13": 0, "delta14": 0, "delta15": 0, "delta16": 0, "delta17": 0, "delta18": 0, "delta19": 0, "delta2": 0, "delta3": 0, "delta4": 0, "delta5": 0, "delta6": 0, "delta7": 0, "delta8": 0, "delta9": 0, "jq0q1": 0.01433892239814213, "jq10q11": 0.010525409616727677, "jq11q12": 0.015112292332169557, "jq11q16": 0.007383931535627764, "jq12q13": 0.00954723740103017, "jq13q14": 0.011743925884500983, "jq13q18": 0.008449187811309803, "jq15q16": 0.01268272946810536, "jq16q17": 0.014027838431486793, "jq17q18": 0.009991545329492273, "jq18q19": 0.005039913180091045, "jq1q2": 0.01783155649165556, "jq1q6": 0.007455172260903687, "jq2q3": 0.010483442612952266, "jq3q4": 0.010965763703036821, "jq3q8": 0.00778913964520363, "jq5q10": 0, "jq5q6": 0.014034790830320562, "jq6q7": 0.013132052583182657, "jq7q12": 0.00920812439711768, "jq7q8": 0.011895087847184233, "jq8q9": 0.013211093140145862, "jq9q14": 0.007991177432644736, "omegad0": 0.47949242926005, "omegad1": 0.46118734073033163, "omegad10": 0.3943799172798586, "omegad11": 0.43262586054427343, "omegad12": 0.40091693264351463, "omegad13": 0.37874281938149945, "omegad14": 0.4306310161386568, "omegad15": 0.36146990854842387, "omegad16": 0.6212952725431784, "omegad17": 0.4861452519032759, "omegad18": 0.28078096538595176, "omegad19": 2.1407654262304083, "omegad2": 0.5104562308366655, "omegad3": 0.36262688270569465, "omegad4": 0.5194338453827934, "omegad5": 0.34447607292812266, "omegad6": 0.4290526887210772, "omegad7": 0.48299294736914783, "omegad8": 0.40155938463476015, "omegad9": 0.6251285757697845, "wq0": 29.382193598364832, "wq1": 30.051159180241246, "wq10": 27.798818327978314, "wq11": 28.409474330944377, "wq12": 28.928828255429337, "wq13": 29.060741412489598, "wq14": 29.892477754929654, "wq15": 28.200951211771702, "wq16": 29.7719883909117, "wq17": 30.68199006712486, "wq18": 28.456347283535596, "wq19": 29.517141109465587, "wq2": 29.439881846261294, "wq3": 29.642030624579252, "wq4": 28.67738195719561, "wq5": 27.073278970182592, "wq6": 29.296525250133886, "wq7": 30.35491185689868, "wq8": 29.047778264907418, "wq9": 29.518279125748485}}, "rep_times": [1000.0], "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "dynamic_reprate_enabled": false, "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]], "acquisition_latency": [], "conditional_latency": []} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/sydney/conf_sydney.json b/qiskit/providers/fake_provider/backends/sydney/conf_sydney.json index ce5b086da42b..e9b5fe16909f 100644 --- a/qiskit/providers/fake_provider/backends/sydney/conf_sydney.json +++ b/qiskit/providers/fake_provider/backends/sydney/conf_sydney.json @@ -1 +1 @@ -{"backend_name": "ibmq_sydney", "backend_version": "1.0.34", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "delay", "id", "setf", "play", "x", "measure", "sx", "u2", "cx", "shiftf", "reset", "u1", "u3", "acquire"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-09-02T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["d0", "u0", "u1", "m0"], ["d1", "u4", "u8", "u2", "u0", "u1", "u3", "m1"], ["m2", "u4", "u5", "u2", "d2", "u6"], ["d3", "m3", "u5", "u7", "u10", "u6"], ["u9", "u13", "m4", "u8", "d4", "u3"], ["d5", "u11", "u7", "u10", "m5", "u16"], ["u14", "u12", "m6", "d6"], ["u9", "u20", "u13", "u14", "u15", "m7", "u12", "d7"], ["m8", "d8", "u11", "u22", "u17", "u19", "u18", "u16"], ["d9", "m9", "u19", "u17"], ["u20", "u21", "u24", "d10", "u15", "m10"], ["u29", "d11", "u23", "u22", "u18", "m11"], ["u25", "u32", "d12", "u21", "m12", "u24", "u27", "u26"], ["u25", "u27", "m13", "d13", "u30", "u28"], ["u29", "u30", "u23", "u31", "u34", "d14", "u28", "m14"], ["u32", "u37", "u33", "m15", "d15", "u26"], ["u40", "u31", "m16", "u34", "u35", "d16"], ["u38", "m17", "d17", "u36"], ["u37", "u33", "u38", "m18", "u44", "u36", "d18", "u39"], ["u40", "u41", "u42", "u43", "u46", "m19", "u35", "d19"], ["u41", "m20", "d20", "u43"], ["m21", "u45", "u48", "u44", "d21", "u39"], ["d22", "u42", "u47", "u52", "u46", "m22"], ["u45", "u49", "u48", "d23", "m23", "u50"], ["u49", "u51", "u53", "m24", "u50", "d24"], ["u55", "u51", "u47", "u54", "u52", "u53", "d25", "m25"], ["m26", "u54", "u55", "d26"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.591543573831103, 5.591543573831103], [4.513699017992856, 5.513699017992856], [4.363033603070981, 5.363033603070981], [4.604399593067322, 5.604399593067322], [4.564049937891457, 5.564049937891457], [4.393166186903226, 5.393166186903226], [4.493602709882529, 5.493602709882529], [4.443156383195831, 5.443156383195831], [4.261326160093105, 5.261326160093105], [4.34973786325914, 5.34973786325914], [4.546751894437314, 5.546751894437314], [4.346894052483144, 5.346894052483144], [4.499196529630226, 5.499196529630226], [4.381595443393762, 5.381595443393762], [4.59745359438372, 5.59745359438372], [4.261230052282037, 5.261230052282037], [4.467769100964039, 5.467769100964039], [4.554504112712609, 5.554504112712609], [4.394747095758212, 5.394747095758212], [4.39358976033237, 5.39358976033237], [4.525947744265614, 5.525947744265614], [4.442495330040149, 5.442495330040149], [4.484722756452134, 5.484722756452134], [4.571129489925492, 5.571129489925493], [4.469254688181942, 5.469254688181942], [4.390796910794939, 5.390796910794939], [4.52055495820656, 5.52055495820656]], "meas_lo_range": [[6.727675282000001, 7.727675282000001], [6.840193435000001, 7.840193435000001], [6.726346275, 7.726346275], [6.846757417, 7.846757417], [6.792114450000001, 7.792114450000001], [6.785493899, 7.785493899], [6.903237599000001, 7.903237599000001], [6.659048628000001, 7.659048628000001], [6.653903087000001, 7.653903087000001], [6.898775146, 7.898775146], [6.735621482, 7.735621482000001], [6.784627374, 7.784627374], [6.88419644, 7.88419644], [6.785237983, 7.785237983000001], [6.837548355, 7.837548355000001], [6.845404326000001, 7.845404326000001], [6.710841166000001, 7.710841166000001], [6.9052766860000006, 7.9052766860000006], [6.6609555590000005, 7.6609555590000005], [6.657726667, 7.657726667], [6.899256474, 7.899256474], [6.789897957, 7.789897957000001], [6.780479613000001, 7.780479613000001], [6.851492596000001, 7.851492596000001], [6.723516303, 7.723516303], [6.839118128000001, 7.839118128000001], [6.725113257, 7.725113257]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1029757743145483, "delta1": -1.889957566251604, "delta10": -2.1075250123635105, "delta11": -2.122165410833383, "delta12": -1.8937191892864087, "delta13": -2.1315118601549905, "delta14": -1.9944559195311022, "delta15": -2.12926748183647, "delta16": -2.1193206109058527, "delta17": -2.101296704117268, "delta18": -1.8122832211317532, "delta19": -2.019211541923538, "delta2": -2.1308374256879503, "delta20": -2.104834105587803, "delta21": -2.112497255369509, "delta22": -2.1060155769332347, "delta23": -2.0975934900809117, "delta24": -2.1076592091839923, "delta25": -2.0145967983213016, "delta26": -2.1136984163705876, "delta3": -2.0924567784144523, "delta4": -2.105140477820155, "delta5": -2.125438383689764, "delta6": -2.117827256661558, "delta7": -2.015922682385355, "delta8": -2.0298088223039183, "delta9": -2.1326319066449693, "jq0q1": 0.011090796744123393, "jq10q12": 0.010067519106602307, "jq11q14": 0.009791070765993807, "jq12q13": 0.008939473422600992, "jq12q15": 0.009228031782822355, "jq13q14": 0.010151031733331484, "jq14q16": 0.010603997024789619, "jq15q18": 0.008826660101169967, "jq16q19": 0.008845376733445617, "jq17q18": 0.010044545332996258, "jq18q21": 0.008466955758003976, "jq19q20": 0.009428537753008791, "jq19q22": 0.0098012402738952, "jq1q2": 0.010107920013162837, "jq1q4": 0.010213210084310012, "jq21q23": 0.00943899994836744, "jq22q25": 0.008837749763711189, "jq23q24": 0.008809555384580408, "jq24q25": 0.009428902220394409, "jq25q26": 0.00949126897110876, "jq2q3": 0.009127922204565337, "jq3q5": 0.00988519329608032, "jq4q7": 0.010154002041793902, "jq5q8": 0.008088352614859238, "jq6q7": 0.009310839926125676, "jq7q10": 0.009530622705854506, "jq8q11": 0.008329318949338305, "jq8q9": 0.008163329426619157, "omegad0": 0.9200399822102548, "omegad1": 0.9391483378107012, "omegad10": 0.9775894046651323, "omegad11": 1.0510077000114126, "omegad12": 1.0634895737594245, "omegad13": 0.9944909451627687, "omegad14": 1.0487366016989292, "omegad15": 0.993036367235271, "omegad16": 1.0445499779932357, "omegad17": 1.019959321227324, "omegad18": 1.0324262414824623, "omegad19": 1.0380052372925774, "omegad2": 1.0140636643140393, "omegad20": 1.0556512470850865, "omegad21": 1.0008130626271876, "omegad22": 1.0453942987301563, "omegad23": 1.1906581471420763, "omegad24": 1.0394019134897559, "omegad25": 1.0124527637608962, "omegad26": 1.0161145488496979, "omegad3": 1.0557181578759722, "omegad4": 0.9242946489907706, "omegad5": 1.0078850683578986, "omegad6": 0.987170222253241, "omegad7": 1.081097000597114, "omegad8": 0.732501516625372, "omegad9": 1.0838181057765177, "wq0": 31.991111773960235, "wq1": 31.50200000447344, "wq10": 31.709677352109278, "wq11": 30.453933496018212, "wq12": 31.410878182675816, "wq13": 30.671968765526508, "wq14": 32.02824552826156, "wq15": 29.915690708600394, "wq16": 31.213413824637986, "wq17": 31.75838597607466, "wq18": 30.754603034427944, "wq19": 30.74733128148482, "wq2": 30.555341283136194, "wq20": 31.578961021422096, "wq21": 31.05461403851199, "wq22": 31.319936783703778, "wq23": 31.862846301904966, "wq24": 31.222748044418054, "wq25": 30.729783290306074, "wq26": 31.54507714729108, "wq3": 32.07188852513406, "wq4": 31.818364164583304, "wq5": 30.744669891138315, "wq6": 31.37573117662607, "wq7": 31.058767557987032, "wq8": 29.916294571786803, "wq9": 30.47180168610235}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, 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[4.394747095758212, 5.394747095758212], [4.39358976033237, 5.39358976033237], [4.525947744265614, 5.525947744265614], [4.442495330040149, 5.442495330040149], [4.484722756452134, 5.484722756452134], [4.571129489925492, 5.571129489925493], [4.469254688181942, 5.469254688181942], [4.390796910794939, 5.390796910794939], [4.52055495820656, 5.52055495820656]], "meas_lo_range": [[6.727675282000001, 7.727675282000001], [6.840193435000001, 7.840193435000001], [6.726346275, 7.726346275], [6.846757417, 7.846757417], [6.792114450000001, 7.792114450000001], [6.785493899, 7.785493899], [6.903237599000001, 7.903237599000001], [6.659048628000001, 7.659048628000001], [6.653903087000001, 7.653903087000001], [6.898775146, 7.898775146], [6.735621482, 7.735621482000001], [6.784627374, 7.784627374], [6.88419644, 7.88419644], [6.785237983, 7.785237983000001], [6.837548355, 7.837548355000001], [6.845404326000001, 7.845404326000001], [6.710841166000001, 7.710841166000001], [6.9052766860000006, 7.9052766860000006], [6.6609555590000005, 7.6609555590000005], [6.657726667, 7.657726667], [6.899256474, 7.899256474], [6.789897957, 7.789897957000001], [6.780479613000001, 7.780479613000001], [6.851492596000001, 7.851492596000001], [6.723516303, 7.723516303], [6.839118128000001, 7.839118128000001], [6.725113257, 7.725113257]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1029757743145483, "delta1": -1.889957566251604, "delta10": -2.1075250123635105, "delta11": -2.122165410833383, "delta12": -1.8937191892864087, "delta13": -2.1315118601549905, "delta14": -1.9944559195311022, "delta15": -2.12926748183647, "delta16": -2.1193206109058527, "delta17": -2.101296704117268, "delta18": -1.8122832211317532, "delta19": -2.019211541923538, "delta2": -2.1308374256879503, "delta20": -2.104834105587803, "delta21": -2.112497255369509, "delta22": -2.1060155769332347, "delta23": -2.0975934900809117, "delta24": -2.1076592091839923, "delta25": -2.0145967983213016, "delta26": -2.1136984163705876, "delta3": -2.0924567784144523, "delta4": -2.105140477820155, "delta5": -2.125438383689764, "delta6": -2.117827256661558, "delta7": -2.015922682385355, "delta8": -2.0298088223039183, "delta9": -2.1326319066449693, "jq0q1": 0.011090796744123393, "jq10q12": 0.010067519106602307, "jq11q14": 0.009791070765993807, "jq12q13": 0.008939473422600992, "jq12q15": 0.009228031782822355, "jq13q14": 0.010151031733331484, "jq14q16": 0.010603997024789619, "jq15q18": 0.008826660101169967, "jq16q19": 0.008845376733445617, "jq17q18": 0.010044545332996258, "jq18q21": 0.008466955758003976, "jq19q20": 0.009428537753008791, "jq19q22": 0.0098012402738952, "jq1q2": 0.010107920013162837, "jq1q4": 0.010213210084310012, "jq21q23": 0.00943899994836744, "jq22q25": 0.008837749763711189, "jq23q24": 0.008809555384580408, "jq24q25": 0.009428902220394409, "jq25q26": 0.00949126897110876, "jq2q3": 0.009127922204565337, "jq3q5": 0.00988519329608032, "jq4q7": 0.010154002041793902, "jq5q8": 0.008088352614859238, "jq6q7": 0.009310839926125676, "jq7q10": 0.009530622705854506, "jq8q11": 0.008329318949338305, "jq8q9": 0.008163329426619157, "omegad0": 0.9200399822102548, "omegad1": 0.9391483378107012, "omegad10": 0.9775894046651323, "omegad11": 1.0510077000114126, "omegad12": 1.0634895737594245, "omegad13": 0.9944909451627687, "omegad14": 1.0487366016989292, "omegad15": 0.993036367235271, "omegad16": 1.0445499779932357, "omegad17": 1.019959321227324, "omegad18": 1.0324262414824623, "omegad19": 1.0380052372925774, "omegad2": 1.0140636643140393, "omegad20": 1.0556512470850865, "omegad21": 1.0008130626271876, "omegad22": 1.0453942987301563, "omegad23": 1.1906581471420763, "omegad24": 1.0394019134897559, "omegad25": 1.0124527637608962, "omegad26": 1.0161145488496979, "omegad3": 1.0557181578759722, "omegad4": 0.9242946489907706, "omegad5": 1.0078850683578986, "omegad6": 0.987170222253241, "omegad7": 1.081097000597114, "omegad8": 0.732501516625372, "omegad9": 1.0838181057765177, "wq0": 31.991111773960235, "wq1": 31.50200000447344, "wq10": 31.709677352109278, "wq11": 30.453933496018212, "wq12": 31.410878182675816, "wq13": 30.671968765526508, "wq14": 32.02824552826156, "wq15": 29.915690708600394, "wq16": 31.213413824637986, "wq17": 31.75838597607466, "wq18": 30.754603034427944, "wq19": 30.74733128148482, "wq2": 30.555341283136194, "wq20": 31.578961021422096, "wq21": 31.05461403851199, "wq22": 31.319936783703778, "wq23": 31.862846301904966, "wq24": 31.222748044418054, "wq25": 30.729783290306074, "wq26": 31.54507714729108, "wq3": 32.07188852513406, "wq4": 31.818364164583304, "wq5": 30.744669891138315, "wq6": 31.37573117662607, "wq7": 31.058767557987032, "wq8": 29.916294571786803, "wq9": 30.47180168610235}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/tenerife/fake_tenerife.py b/qiskit/providers/fake_provider/backends/tenerife/fake_tenerife.py index 251213fcedf4..e374e0ae0a28 100644 --- a/qiskit/providers/fake_provider/backends/tenerife/fake_tenerife.py +++ b/qiskit/providers/fake_provider/backends/tenerife/fake_tenerife.py @@ -42,7 +42,7 @@ def __init__(self): backend_version="0.0.0", n_qubits=5, basis_gates=["u1", "u2", "u3", "cx", "id"], - simulator=False, + simulator=True, local=True, conditional=False, open_pulse=False, diff --git a/qiskit/providers/fake_provider/backends/tokyo/fake_tokyo.py b/qiskit/providers/fake_provider/backends/tokyo/fake_tokyo.py index 5b87864f654d..2cb39fbbc389 100644 --- a/qiskit/providers/fake_provider/backends/tokyo/fake_tokyo.py +++ b/qiskit/providers/fake_provider/backends/tokyo/fake_tokyo.py @@ -115,7 +115,7 @@ def __init__(self): backend_version="0.0.0", n_qubits=20, basis_gates=["u1", "u2", "u3", "cx", "id"], - simulator=False, + simulator=True, local=True, conditional=False, open_pulse=False, diff --git a/qiskit/providers/fake_provider/backends/toronto/conf_toronto.json b/qiskit/providers/fake_provider/backends/toronto/conf_toronto.json index 07d9420e76da..90bb0700efbe 100644 --- a/qiskit/providers/fake_provider/backends/toronto/conf_toronto.json +++ b/qiskit/providers/fake_provider/backends/toronto/conf_toronto.json @@ -1 +1 @@ -{"backend_name": "ibmq_toronto", "backend_version": "1.4.21", "n_qubits": 27, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["setf", "rz", "u1", "u3", "reset", "measure", "play", "shiftf", "cx", "id", "u2", "acquire", "delay", "x", "sx"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4", "n_registers": 1, "credits_required": true, "online_date": "2020-06-03T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4}, "allow_q_object": true, "multi_meas_enabled": true, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 32, "qubit_channel_mapping": [["m0", "d0", "u1", "u0"], ["u1", "d1", "u0", "m1", "u3", "u8", "u2", "u4"], ["u6", "d2", "u5", "u2", "m2", "u4"], ["u6", "d3", "u5", "u7", "u10", "m3"], ["u9", "u8", "u3", "m4", "d4", "u13"], ["u10", "u7", "d5", "u16", "m5", "u11"], ["m6", "d6", "u12", "u14"], ["d7", "u20", "u9", "u14", "u12", "m7", "u13", "u15"], ["u22", "d8", "m8", "u16", "u19", "u18", "u11", "u17"], ["u19", "m9", "d9", "u17"], ["u20", "m10", "d10", "u21", "u24", "u15"], ["u22", "u23", "u29", "u18", "m11", "d11"], ["m12", "d12", "u25", "u32", "u21", "u26", "u24", "u27"], ["u28", "d13", "u25", "m13", "u30", "u27"], ["u28", "d14", "u23", "u30", "u29", "u31", "m14", "u34"], ["u33", "m15", "d15", "u32", "u37", "u26"], ["m16", "u35", "u40", "u31", "d16", "u34"], ["u38", "m17", "u36", "d17"], ["u33", "u44", "u36", "d18", "u38", "u37", "u39", "m18"], ["u35", "u42", "u43", "m19", "u41", "d19", "u46", "u40"], ["u43", "d20", "u41", "m20"], ["m21", "u48", "u44", "d21", "u45", "u39"], ["u47", "d22", "u42", "m22", "u52", "u46"], ["m23", "u48", "d23", "u45", "u49", "u50"], ["d24", "u51", "m24", "u53", "u49", "u50"], ["m25", "u47", "u51", "u54", "u53", "u52", "d25", "u55"], ["m26", "u55", "u54", "d26"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, 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[{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.724962212570894, 5.724962212570894], [4.503480427448205, 5.503480427448205], [4.643800362094826, 5.643800362094826], [4.7096409503067305, 5.7096409503067305], [4.587695855021764, 5.587695855021765], [4.667246178568141, 5.667246178568141], [4.651661610593711, 5.651661610593711], [4.415438732210246, 5.415438732210246], [4.533350608933928, 5.533350608933928], [4.582178998916705, 5.582178998916705], [4.597835413447422, 5.597835413447422], [4.616583435931551, 5.616583435931551], [4.427794748612518, 5.427794748612518], [4.6276685191113955, 5.6276685191113955], [4.517283413157198, 5.517283413157198], [4.591640062036407, 5.591640062036407], [4.443090411669763, 5.443090411669763], [4.65780525208028, 5.65780525208028], [4.559726541920158, 5.559726541920158], [4.569445261647327, 5.569445261647327], [4.4160594400291195, 5.4160594400291195], [4.64472868558601, 5.64472868558601], [4.621439002317635, 5.621439002317635], [4.600166397715177, 5.600166397715177], [4.463363900460583, 5.463363900460583], [4.56463261701273, 5.56463261701273], [4.715727081232004, 5.715727081232004]], "meas_lo_range": [[6.773017351, 7.773017351000001], [6.871558296000001, 7.871558296000001], [6.758732686, 7.758732686], [6.892926303, 7.892926303], [6.824668288000001, 7.824668288000001], [6.838835224, 7.838835224], [6.9412061970000005, 7.9412061970000005], [6.685247284000001, 7.685247284000001], [6.696141752000001, 7.696141752000001], [6.939925201, 7.939925201], [6.7603679780000006, 7.7603679780000006], [6.833820699, 7.833820699], [6.922158723000001, 7.922158723000001], [6.818395172000001, 7.818395172000001], [6.8851599210000005, 7.8851599210000005], [6.879656647, 7.879656647000001], [6.7674171130000005, 7.7674171130000005], [6.934408627000001, 7.934408627000001], [6.677531099, 7.677531099], [6.690135798, 7.690135798000001], [6.937817590000001, 7.937817590000001], [6.814241696000001, 7.814241696000001], [6.823410819, 7.823410819], [6.890961537000001, 7.890961537000001], [6.750984310000001, 7.750984310000001], [6.871374312, 7.871374312], [6.760855036000001, 7.760855036000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.10076640879594, "delta1": -2.0254919727193084, "delta10": -2.114784992599332, "delta11": -2.108558408859067, "delta12": -2.030330284527766, "delta13": -2.106366657155438, "delta14": -2.0228060575982556, "delta15": -2.1138822304781124, "delta16": -2.1259342710694353, "delta17": -2.108556571555734, "delta18": -2.006800591494918, "delta19": -2.0122765148965125, "delta2": -2.1082931647873293, "delta20": -2.1753226037385986, "delta21": -2.109173979021776, "delta22": -2.103897015124007, "delta23": -1.7244400854700284, "delta24": -2.1286739668399406, "delta25": -2.010265724403418, "delta26": -2.1047945569511355, "delta3": -2.0703760105657887, "delta4": -2.1121018960562874, "delta5": -2.0764558860049798, "delta6": -2.1125630305465917, "delta7": -2.026040041807814, "delta8": -2.0145436756354376, "delta9": -2.1118992516798154, "jq0q1": 0.010883555174139215, "jq10q12": 0.01017913360478777, "jq11q14": 0.009619335737514499, "jq12q13": 0.009779556211793893, "jq12q15": 0.009692389928634262, "jq13q14": 0.01020009503110273, "jq14q16": 0.00961019746485081, "jq15q18": 0.009909096681125907, "jq16q19": 0.009426493626453846, "jq17q18": 0.010312804658642963, "jq18q21": 0.00990748166418641, "jq19q20": 0.009533773539598505, "jq19q22": 0.010804725680870533, "jq1q2": 0.009554725417697809, "jq1q4": 0.008894037777262585, "jq21q23": 0.011418542894027878, "jq22q25": 0.009446571323116574, "jq23q24": 0.008968555773269155, "jq24q25": 0.009911337444347305, "jq25q26": 0.010747594237976965, "jq2q3": 0.008693878325509111, "jq3q5": 0.010727034415717282, "jq4q7": 0.009556160357784572, "jq5q8": 0.010151232536045222, "jq6q7": 0.010155948148964693, "jq7q10": 0.009497398539378133, "jq8q11": 0.009612743674569678, "jq8q9": 0.009790518616739916, "omegad0": 0.06758794393563461, "omegad1": 0.07063037451484425, "omegad10": 0.060609211165014394, "omegad11": 0.06406335746499192, "omegad12": 0.06418900458772615, "omegad13": 0.06843993524682418, "omegad14": 0.061033843139560735, "omegad15": 0.060291392869040505, "omegad16": 0.06452522899867921, "omegad17": 0.05770296658619167, "omegad18": 0.062117136973891124, "omegad19": 0.06934572663393236, "omegad2": 0.06620730965765917, "omegad20": 0.06035971472325495, "omegad21": 0.06134774732012869, "omegad22": 0.05949151520068678, "omegad23": 0.06644103369186695, "omegad24": 0.0667264704797515, "omegad25": 0.0641218300408094, "omegad26": 0.06650724238940467, "omegad3": 0.06260997354315877, "omegad4": 0.06719599741480123, "omegad5": 0.06395189600301401, "omegad6": 0.06948980338823703, "omegad7": 0.06093703430555772, "omegad8": 0.06555822628636018, "omegad9": 0.06604888284309168, "wq0": 32.82940580459398, "wq1": 31.437794706503198, "wq10": 32.03064456819261, "wq11": 32.14844186760356, "wq12": 30.962247561278897, "wq13": 32.21809149936802, "wq14": 31.524521423505156, "wq15": 31.991718027234114, "wq16": 31.058353046663747, "wq17": 32.407446177164516, "wq18": 31.79119946653931, "wq19": 31.85226398353366, "wq2": 32.319450858179245, "wq20": 30.88851244281247, "wq21": 32.325283686699365, "wq22": 32.17895029097864, "wq23": 32.04529057429504, "wq24": 31.1857351335595, "wq25": 31.82202524547688, "wq26": 32.77137976305559, "wq3": 32.73313947464835, "wq4": 31.966935843671237, "wq5": 32.46676526775921, "wq6": 32.368844539243526, "wq7": 30.884612420564874, "wq8": 31.625474591937078, "wq9": 31.932272414450093}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", 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[3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": 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7.879656647000001], [6.7674171130000005, 7.7674171130000005], [6.934408627000001, 7.934408627000001], [6.677531099, 7.677531099], [6.690135798, 7.690135798000001], [6.937817590000001, 7.937817590000001], [6.814241696000001, 7.814241696000001], [6.823410819, 7.823410819], [6.890961537000001, 7.890961537000001], [6.750984310000001, 7.750984310000001], [6.871374312, 7.871374312], [6.760855036000001, 7.760855036000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) \\\\ & + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) \\\\ & + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) \\\\ & + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t)+U_{5}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,5)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{8}^{(4,1)}(t)+U_{9}^{(4,7)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t)+U_{14}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,14)}(t)+U_{22}^{(11,8)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,15)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,10)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t)+U_{28}^{(13,14)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{34}^{(16,14)}(t)+U_{35}^{(16,19)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{38}^{(18,17)}(t)+U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{52}^{(25,22)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad3*X2||U5", "omegad5*X3||U7", "omegad2*X3||U6", "omegad1*X4||U8", "omegad7*X4||U9", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad4*X7||U13", "omegad10*X7||U15", "omegad6*X7||U14", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad14*X11||U23", "omegad8*X11||U22", "omegad15*X12||U26", "omegad13*X12||U25", "omegad10*X12||U24", "omegad12*X13||U27", "omegad14*X13||U28", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad14*X16||U34", "omegad19*X16||U35", "omegad18*X17||U36", "omegad17*X18||U38", "omegad15*X18||U37", "omegad21*X18||U39", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad22*X25||U52", "omegad24*X25||U53", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.10076640879594, "delta1": -2.0254919727193084, "delta10": -2.114784992599332, "delta11": -2.108558408859067, "delta12": -2.030330284527766, "delta13": -2.106366657155438, "delta14": -2.0228060575982556, "delta15": -2.1138822304781124, "delta16": -2.1259342710694353, "delta17": -2.108556571555734, "delta18": -2.006800591494918, "delta19": -2.0122765148965125, "delta2": -2.1082931647873293, "delta20": -2.1753226037385986, "delta21": -2.109173979021776, "delta22": -2.103897015124007, "delta23": -1.7244400854700284, "delta24": -2.1286739668399406, "delta25": -2.010265724403418, "delta26": -2.1047945569511355, "delta3": -2.0703760105657887, "delta4": -2.1121018960562874, "delta5": -2.0764558860049798, "delta6": -2.1125630305465917, "delta7": -2.026040041807814, "delta8": -2.0145436756354376, "delta9": -2.1118992516798154, "jq0q1": 0.010883555174139215, "jq10q12": 0.01017913360478777, "jq11q14": 0.009619335737514499, "jq12q13": 0.009779556211793893, "jq12q15": 0.009692389928634262, "jq13q14": 0.01020009503110273, "jq14q16": 0.00961019746485081, "jq15q18": 0.009909096681125907, "jq16q19": 0.009426493626453846, "jq17q18": 0.010312804658642963, "jq18q21": 0.00990748166418641, "jq19q20": 0.009533773539598505, "jq19q22": 0.010804725680870533, "jq1q2": 0.009554725417697809, "jq1q4": 0.008894037777262585, "jq21q23": 0.011418542894027878, "jq22q25": 0.009446571323116574, "jq23q24": 0.008968555773269155, "jq24q25": 0.009911337444347305, "jq25q26": 0.010747594237976965, "jq2q3": 0.008693878325509111, "jq3q5": 0.010727034415717282, "jq4q7": 0.009556160357784572, "jq5q8": 0.010151232536045222, "jq6q7": 0.010155948148964693, "jq7q10": 0.009497398539378133, "jq8q11": 0.009612743674569678, "jq8q9": 0.009790518616739916, "omegad0": 0.06758794393563461, "omegad1": 0.07063037451484425, "omegad10": 0.060609211165014394, "omegad11": 0.06406335746499192, "omegad12": 0.06418900458772615, "omegad13": 0.06843993524682418, "omegad14": 0.061033843139560735, "omegad15": 0.060291392869040505, "omegad16": 0.06452522899867921, "omegad17": 0.05770296658619167, "omegad18": 0.062117136973891124, "omegad19": 0.06934572663393236, "omegad2": 0.06620730965765917, "omegad20": 0.06035971472325495, "omegad21": 0.06134774732012869, "omegad22": 0.05949151520068678, "omegad23": 0.06644103369186695, "omegad24": 0.0667264704797515, "omegad25": 0.0641218300408094, "omegad26": 0.06650724238940467, "omegad3": 0.06260997354315877, "omegad4": 0.06719599741480123, "omegad5": 0.06395189600301401, "omegad6": 0.06948980338823703, "omegad7": 0.06093703430555772, "omegad8": 0.06555822628636018, "omegad9": 0.06604888284309168, "wq0": 32.82940580459398, "wq1": 31.437794706503198, "wq10": 32.03064456819261, "wq11": 32.14844186760356, "wq12": 30.962247561278897, "wq13": 32.21809149936802, "wq14": 31.524521423505156, "wq15": 31.991718027234114, "wq16": 31.058353046663747, "wq17": 32.407446177164516, "wq18": 31.79119946653931, "wq19": 31.85226398353366, "wq2": 32.319450858179245, "wq20": 30.88851244281247, "wq21": 32.325283686699365, "wq22": 32.17895029097864, "wq23": 32.04529057429504, "wq24": 31.1857351335595, "wq25": 31.82202524547688, "wq26": 32.77137976305559, "wq3": 32.73313947464835, "wq4": 31.966935843671237, "wq5": 32.46676526775921, "wq6": 32.368844539243526, "wq7": 30.884612420564874, "wq8": 31.625474591937078, "wq9": 31.932272414450093}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/valencia/conf_valencia.json b/qiskit/providers/fake_provider/backends/valencia/conf_valencia.json index c37d875e88a9..d9876f0e938a 100644 --- a/qiskit/providers/fake_provider/backends/valencia/conf_valencia.json +++ b/qiskit/providers/fake_provider/backends/valencia/conf_valencia.json @@ -1 +1 @@ -{"backend_name": "ibmq_valencia", "backend_version": "1.4.6", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "x", "acquire", "play", "measure", "u3", "reset", "u1", "delay", "u2", "shiftf", "setf", "sx", "rz", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Valencia", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "multi_meas_enabled": false, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["u1", "u0", "d0", "m0"], ["d1", "u3", "u1", "u0", "u2", "u4", "m1", "u5"], ["u4", "d2", "u2", "m2"], ["u7", "m3", "u6", "u3", "d3", "u5"], ["u7", "d4", "u6", "m4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.2438924401312725, 5.243892440131272], [4.160914072609433, 5.160914072609433], [4.292493277895261, 5.292493277895261], [4.334410370035304, 5.334410370035304], [4.459527978256725, 5.459527978256725]], "meas_lo_range": [[6.791423281, 7.791423281], [6.564734703, 7.564734703], [6.709148181000001, 7.709148181000001], [6.637515922, 7.637515922], [6.484029338, 7.484029338]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -1.9720435789832658, "delta1": -1.9511571834532067, "delta2": -1.9566845436144944, "delta3": -1.9453422952824684, "delta4": -1.9444980545316486, "jq0q1": 0.013906241266973624, "jq1q2": 0.017963657950435953, "jq1q3": 0.00795166827537871, "jq3q4": 0.016099357950517968, "omegad0": 0.9825836701756131, "omegad1": 1.271368863631984, "omegad2": 1.2356947934137237, "omegad3": 1.3789730375063602, "omegad4": 1.438558810972522, "wq0": 29.80686268739362, "wq1": 29.285324157191372, "wq2": 30.112150492391393, "wq3": 30.37551037282228, "wq4": 31.16161551232277}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file +{"backend_name": "ibmq_valencia", "backend_version": "1.4.6", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "x", "acquire", "play", "measure", "u3", "reset", "u1", "delay", "u2", "shiftf", "setf", "sx", "rz", "id"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Valencia", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "multi_meas_enabled": false, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 16, "qubit_channel_mapping": [["u1", "u0", "d0", "m0"], ["d1", "u3", "u1", "u0", "u2", "u4", "m1", "u5"], ["u4", "d2", "u2", "m2"], ["u7", "m3", "u6", "u3", "d3", "u5"], ["u7", "d4", "u6", "m4"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.2438924401312725, 5.243892440131272], [4.160914072609433, 5.160914072609433], [4.292493277895261, 5.292493277895261], [4.334410370035304, 5.334410370035304], [4.459527978256725, 5.459527978256725]], "meas_lo_range": [[6.791423281, 7.791423281], [6.564734703, 7.564734703], [6.709148181000001, 7.709148181000001], [6.637515922, 7.637515922], [6.484029338, 7.484029338]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -1.9720435789832658, "delta1": -1.9511571834532067, "delta2": -1.9566845436144944, "delta3": -1.9453422952824684, "delta4": -1.9444980545316486, "jq0q1": 0.013906241266973624, "jq1q2": 0.017963657950435953, "jq1q3": 0.00795166827537871, "jq3q4": 0.016099357950517968, "omegad0": 0.9825836701756131, "omegad1": 1.271368863631984, "omegad2": 1.2356947934137237, "omegad3": 1.3789730375063602, "omegad4": 1.438558810972522, "wq0": 29.80686268739362, "wq1": 29.285324157191372, "wq2": 30.112150492391393, "wq3": 30.37551037282228, "wq4": 31.16161551232277}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/vigo/conf_vigo.json b/qiskit/providers/fake_provider/backends/vigo/conf_vigo.json index 2ab490734d5e..e0ad97768e9a 100644 --- a/qiskit/providers/fake_provider/backends/vigo/conf_vigo.json +++ b/qiskit/providers/fake_provider/backends/vigo/conf_vigo.json @@ -1 +1 @@ -{"backend_name": "ibmq_vigo", "backend_version": "1.3.6", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "id", "delay", "measure", "reset", "rz", "sx", "u1", "u2", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Vigo", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": false, "quantum_volume": 16, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmq_vigo", "backend_version": "1.3.6", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "id", "delay", "measure", "reset", "rz", "sx", "u1", "u2", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "Giraffe", "n_registers": 1, "credits_required": true, "online_date": "2019-07-03T04:00:00+00:00", "description": "5 qubit device Vigo", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "allow_q_object": true, "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": false, "quantum_volume": 16, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/washington/conf_washington.json b/qiskit/providers/fake_provider/backends/washington/conf_washington.json index 697f719d72c5..f7721b1df87a 100644 --- a/qiskit/providers/fake_provider/backends/washington/conf_washington.json +++ b/qiskit/providers/fake_provider/backends/washington/conf_washington.json @@ -1 +1 @@ -{"backend_name": "ibm_washington", "backend_version": "1.1.0", "n_qubits": 127, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], 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[4.639903178299378, 5.639903178299379], [4.676148306630854, 5.676148306630854], [4.720594257519045, 5.720594257519045], [4.641883422445972, 5.641883422445972], [4.55175144306341, 5.55175144306341], [4.623686027496476, 5.623686027496476], [4.6749719826365626, 5.6749719826365626], [4.5282655137668195, 5.5282655137668195], [4.595164314904394, 5.595164314904394], [4.484550747011607, 5.484550747011607], [4.726854129683186, 5.726854129683186], [4.634909475114922, 5.634909475114922], [4.485044881402859, 5.485044881402859], [4.540239775957792, 5.540239775957792], [4.62150306992114, 5.62150306992114], [4.753516462743983, 5.753516462743983], [4.497392066338402, 5.497392066338402], [4.791579200368684, 5.791579200368684], [4.691230179718275, 5.691230179718276], [4.716078728309004, 5.716078728309004], [4.670132593962133, 5.670132593962133], [4.773695587040669, 5.773695587040669], [4.622112629859396, 5.622112629859396], [4.516868785002357, 5.516868785002357], [4.733669518732525, 5.733669518732525], [4.614385740568254, 5.614385740568254], [4.774339315768484, 5.774339315768484], [4.583501964940935, 5.583501964940935], [4.496218903141436, 5.496218903141436], [4.768635018486352, 5.768635018486352], [4.608097954495628, 5.608097954495629], [4.74407272505404, 5.74407272505404], [4.537262922433084, 5.537262922433084], [4.6649103635824565, 5.664910363582457]], "meas_lo_range": [[6.532582196000001, 7.532582196000001], [6.470907966, 7.470907966], [6.586376109000001, 7.586376109000001], [6.532780735, 7.532780735], [6.467206413, 7.467206413], [6.575791913000001, 7.575791913000001], [6.149490342, 7.149490342000001], [6.529456802, 7.529456802], [6.640570810000001, 7.640570810000001], [6.695625624000001, 7.695625624000001], [6.586392794, 7.586392794000001], [6.157557290000001, 7.157557290000001], [6.636338842000001, 7.636338842000001], [6.527465245, 7.527465245], [6.4874229240000005, 7.4874229240000005], [6.640833522, 7.640833522], [6.2722374720000005, 7.2722374720000005], [6.2549666870000005, 7.2549666870000005], [6.652800212000001, 7.652800212000001], [6.696856589, 7.696856589], [6.161956542, 7.161956542], [6.227848791, 7.227848791], [6.276508491, 7.276508491], [6.688059209, 7.688059209], [6.219309186, 7.219309186], [6.577292457, 7.577292457], [6.52594414, 7.525944140000001], [6.322749552, 7.322749552], [6.589231925, 7.589231925000001], [6.220096703, 7.220096703], [6.523525474, 7.523525474], [6.638137172, 7.638137172], [6.157870016, 7.157870016], [6.3349330450000005, 7.3349330450000005], [6.324045843, 7.324045843], [6.473603248000001, 7.473603248000001], [6.220293821, 7.220293821], [6.274960019000001, 7.274960019000001], [6.585403471, 7.585403471], [6.332049926000001, 7.332049926000001], [6.472905692, 7.472905692], [6.5904199000000006, 7.5904199000000006], [6.533906238, 7.533906238], [6.464964934, 7.464964934], [6.692276221, 7.692276221], [6.146101571, 7.146101571000001], [6.640577046000001, 7.640577046000001], [6.693564348000001, 7.693564348000001], [6.3302114000000005, 7.3302114000000005], [6.581087136000001, 7.581087136000001], [6.5233057940000005, 7.5233057940000005], [6.266999129, 7.266999129], [6.212234832, 7.212234832], [6.153364049, 7.153364049], [6.221228172, 7.221228172000001], [6.631733711000001, 7.631733711000001], [6.481817739, 7.481817739], [6.155410486, 7.155410486], [6.695469182, 7.695469182], [6.326690675, 7.326690675], [6.226779595, 7.226779595000001], [6.643382052000001, 7.643382052000001], [6.327756708000001, 7.327756708000001], [6.469627816, 7.469627816], [6.588634841, 7.588634841], [6.271093394, 7.271093394], [6.467198101, 7.467198101], [6.6882672030000005, 7.6882672030000005], [6.1573386690000005, 7.1573386690000005], [6.222540787000001, 7.222540787000001], [6.2658035530000005, 7.2658035530000005], [6.525998105, 7.525998105], [6.2735541040000005, 7.2735541040000005], [6.527009669000001, 7.527009669000001], [6.513044302000001, 7.513044302000001], [6.270182279, 7.270182279], [6.587495045000001, 7.587495045000001], [6.644889406000001, 7.644889406000001], [6.332954721, 7.332954721], [6.469728935, 7.469728935000001], [6.5909187970000005, 7.5909187970000005], [6.528056673, 7.528056673], [6.639931353000001, 7.639931353000001], [6.690161725, 7.690161725], [6.149558896, 7.149558896], [6.634987731000001, 7.634987731000001], [6.273125565, 7.273125565000001], [6.33324159, 7.33324159], [6.584449039000001, 7.584449039000001], [6.631255778000001, 7.631255778000001], [6.1615699710000005, 7.1615699710000005], [6.688565474000001, 7.688565474000001], [6.330128897000001, 7.330128897000001], [6.464142584, 7.464142584], [6.520725383, 7.520725383], [6.64569147, 7.64569147], [6.325452641, 7.325452641], [6.469138089, 7.469138089], [6.330008064, 7.330008064], [6.158081129, 7.158081129], [6.269754194000001, 7.269754194000001], [6.527164843, 7.527164843], [6.4610111980000005, 7.4610111980000005], [6.220889474000001, 7.220889474000001], [6.530364523, 7.530364523], [6.633458459000001, 7.633458459000001], [6.681903497, 7.681903497], [6.151967496, 7.151967496], [6.263917617000001, 7.263917617000001], [6.206960921, 7.206960921], [6.227165823, 7.227165823000001], [6.596498458, 7.596498458], [6.213592263000001, 7.213592263000001], [6.69227943, 7.69227943], [6.154154182, 7.154154182], [6.325176485, 7.325176485], [6.224434024000001, 7.224434024000001], [6.162186052, 7.162186052], [6.587707621000001, 7.587707621000001], [6.645404221000001, 7.645404221000001], [6.269938413, 7.269938413], [6.686801835000001, 7.686801835000001], [6.145675401, 7.145675401], [6.322100306, 7.322100306], [6.217137807, 7.217137807], [6.2700023090000006, 7.2700023090000006], [6.328344326000001, 7.328344326000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) \\\\ & + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) \\\\ & + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) \\\\ & + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) \\\\ & + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) \\\\ & + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) \\\\ & + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) \\\\ & + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) \\\\ & + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) \\\\ & + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) \\\\ & + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) \\\\ & + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) \\\\ & + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) \\\\ & + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) \\\\ & + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) \\\\ & + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) \\\\ & + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) \\\\ & + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) \\\\ & + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) \\\\ & + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) \\\\ & + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) \\\\ & + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) \\\\ & + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) \\\\ & + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) \\\\ & + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,14)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{3}^{(1,2)}(t)+U_{2}^{(1,0)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{10}^{(4,15)}(t)+U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{12}^{(5,6)}(t)+U_{11}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{16}^{(7,8)}(t)+U_{15}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,16)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,10)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,11)}(t)+U_{20}^{(10,9)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,12)}(t)+U_{22}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,17)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{28}^{(14,0)}(t)+U_{29}^{(14,18)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{31}^{(15,22)}(t)+U_{30}^{(15,4)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{33}^{(16,26)}(t)+U_{32}^{(16,8)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{35}^{(17,30)}(t)+U_{34}^{(17,12)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{36}^{(18,14)}(t)+U_{37}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{38}^{(19,18)}(t)+U_{39}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{42}^{(20,33)}(t)+U_{41}^{(20,21)}(t)+U_{40}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{43}^{(21,20)}(t)+U_{44}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{45}^{(22,15)}(t)+U_{47}^{(22,23)}(t)+U_{46}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{52}^{(24,34)}(t)+U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{57}^{(26,27)}(t)+U_{55}^{(26,16)}(t)+U_{56}^{(26,25)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{58}^{(27,26)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{61}^{(28,29)}(t)+U_{60}^{(28,27)}(t)+U_{62}^{(28,35)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,28)}(t)+U_{64}^{(29,30)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t)+U_{65}^{(30,17)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{70}^{(32,31)}(t)+U_{71}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{73}^{(33,39)}(t)+U_{72}^{(33,20)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{75}^{(34,43)}(t)+U_{74}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{77}^{(35,47)}(t)+U_{76}^{(35,28)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{79}^{(36,51)}(t)+U_{78}^{(36,32)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{81}^{(37,52)}(t)+U_{80}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{83}^{(38,39)}(t)+U_{82}^{(38,37)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{86}^{(39,40)}(t)+U_{84}^{(39,33)}(t)+U_{85}^{(39,38)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{88}^{(40,41)}(t)+U_{87}^{(40,39)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{90}^{(41,42)}(t)+U_{89}^{(41,40)}(t)+U_{91}^{(41,53)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{92}^{(42,41)}(t)+U_{93}^{(42,43)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{96}^{(43,44)}(t)+U_{95}^{(43,42)}(t)+U_{94}^{(43,34)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{97}^{(44,43)}(t)+U_{98}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{99}^{(45,44)}(t)+U_{101}^{(45,54)}(t)+U_{100}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,47)}(t)+U_{102}^{(46,45)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{104}^{(47,35)}(t)+U_{105}^{(47,46)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{108}^{(48,49)}(t)+U_{107}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{110}^{(49,50)}(t)+U_{111}^{(49,55)}(t)+U_{109}^{(49,48)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{113}^{(50,51)}(t)+U_{112}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{114}^{(51,36)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{116}^{(52,37)}(t)+U_{117}^{(52,56)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,60)}(t)+U_{118}^{(53,41)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{120}^{(54,45)}(t)+U_{121}^{(54,64)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,68)}(t)+U_{122}^{(55,49)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{125}^{(56,57)}(t)+U_{124}^{(56,52)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{126}^{(57,56)}(t)+U_{127}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{128}^{(58,57)}(t)+U_{130}^{(58,71)}(t)+U_{129}^{(58,59)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{132}^{(59,60)}(t)+U_{131}^{(59,58)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t)+U_{134}^{(60,59)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{140}^{(62,72)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{142}^{(63,64)}(t)+U_{141}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{144}^{(64,63)}(t)+U_{145}^{(64,65)}(t)+U_{143}^{(64,54)}(t))\\sigma_{64}^{X} + \\Omega_{d,65}(U_{146}^{(65,64)}(t)+U_{147}^{(65,66)}(t))\\sigma_{65}^{X} \\\\ & + \\Omega_{d,66}(U_{150}^{(66,73)}(t)+U_{149}^{(66,67)}(t)+U_{148}^{(66,65)}(t))\\sigma_{66}^{X} + \\Omega_{d,67}(U_{151}^{(67,66)}(t)+U_{152}^{(67,68)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{153}^{(68,55)}(t)+U_{155}^{(68,69)}(t)+U_{154}^{(68,67)}(t))\\sigma_{68}^{X} + \\Omega_{d,69}(U_{157}^{(69,70)}(t)+U_{156}^{(69,68)}(t))\\sigma_{69}^{X} \\\\ & + \\Omega_{d,70}(U_{158}^{(70,69)}(t)+U_{159}^{(70,74)}(t))\\sigma_{70}^{X} + \\Omega_{d,71}(U_{160}^{(71,58)}(t)+U_{161}^{(71,77)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,72}(U_{163}^{(72,81)}(t)+U_{162}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{165}^{(73,85)}(t)+U_{164}^{(73,66)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{167}^{(74,89)}(t)+U_{166}^{(74,70)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{169}^{(75,90)}(t)+U_{168}^{(75,76)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,76}(U_{171}^{(76,77)}(t)+U_{170}^{(76,75)}(t))\\sigma_{76}^{X} + \\Omega_{d,77}(U_{173}^{(77,76)}(t)+U_{172}^{(77,71)}(t)+U_{174}^{(77,78)}(t))\\sigma_{77}^{X} \\\\ & + \\Omega_{d,78}(U_{175}^{(78,77)}(t)+U_{176}^{(78,79)}(t))\\sigma_{78}^{X} + \\Omega_{d,79}(U_{179}^{(79,91)}(t)+U_{178}^{(79,80)}(t)+U_{177}^{(79,78)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,80}(U_{180}^{(80,79)}(t)+U_{181}^{(80,81)}(t))\\sigma_{80}^{X} + \\Omega_{d,81}(U_{184}^{(81,82)}(t)+U_{183}^{(81,80)}(t)+U_{182}^{(81,72)}(t))\\sigma_{81}^{X} \\\\ & + \\Omega_{d,82}(U_{186}^{(82,83)}(t)+U_{185}^{(82,81)}(t))\\sigma_{82}^{X} + \\Omega_{d,83}(U_{188}^{(83,84)}(t)+U_{187}^{(83,82)}(t)+U_{189}^{(83,92)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{191}^{(84,85)}(t)+U_{190}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{192}^{(85,73)}(t)+U_{193}^{(85,84)}(t)+U_{194}^{(85,86)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{196}^{(86,87)}(t)+U_{195}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{198}^{(87,88)}(t)+U_{197}^{(87,86)}(t)+U_{199}^{(87,93)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,88}(U_{201}^{(88,89)}(t)+U_{200}^{(88,87)}(t))\\sigma_{88}^{X} + \\Omega_{d,89}(U_{203}^{(89,88)}(t)+U_{202}^{(89,74)}(t))\\sigma_{89}^{X} \\\\ & + \\Omega_{d,90}(U_{205}^{(90,94)}(t)+U_{204}^{(90,75)}(t))\\sigma_{90}^{X} + \\Omega_{d,91}(U_{207}^{(91,98)}(t)+U_{206}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{209}^{(92,102)}(t)+U_{208}^{(92,83)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{211}^{(93,106)}(t)+U_{210}^{(93,87)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{213}^{(94,95)}(t)+U_{212}^{(94,90)}(t))\\sigma_{94}^{X} + \\Omega_{d,95}(U_{215}^{(95,96)}(t)+U_{214}^{(95,94)}(t))\\sigma_{95}^{X} \\\\ & + \\Omega_{d,96}(U_{217}^{(96,97)}(t)+U_{216}^{(96,95)}(t)+U_{218}^{(96,109)}(t))\\sigma_{96}^{X} + \\Omega_{d,97}(U_{220}^{(97,98)}(t)+U_{219}^{(97,96)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{221}^{(98,91)}(t)+U_{223}^{(98,99)}(t)+U_{222}^{(98,97)}(t))\\sigma_{98}^{X} + \\Omega_{d,99}(U_{225}^{(99,100)}(t)+U_{224}^{(99,98)}(t))\\sigma_{99}^{X} \\\\ & + \\Omega_{d,100}(U_{227}^{(100,101)}(t)+U_{226}^{(100,99)}(t)+U_{228}^{(100,110)}(t))\\sigma_{100}^{X} + \\Omega_{d,101}(U_{229}^{(101,100)}(t)+U_{230}^{(101,102)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,102}(U_{233}^{(102,103)}(t)+U_{231}^{(102,92)}(t)+U_{232}^{(102,101)}(t))\\sigma_{102}^{X} + \\Omega_{d,103}(U_{234}^{(103,102)}(t)+U_{235}^{(103,104)}(t))\\sigma_{103}^{X} \\\\ & + \\Omega_{d,104}(U_{236}^{(104,103)}(t)+U_{238}^{(104,111)}(t)+U_{237}^{(104,105)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{240}^{(105,106)}(t)+U_{239}^{(105,104)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{241}^{(106,93)}(t)+U_{243}^{(106,107)}(t)+U_{242}^{(106,105)}(t))\\sigma_{106}^{X} + \\Omega_{d,107}(U_{245}^{(107,108)}(t)+U_{244}^{(107,106)}(t))\\sigma_{107}^{X} \\\\ & + \\Omega_{d,108}(U_{246}^{(108,107)}(t)+U_{247}^{(108,112)}(t))\\sigma_{108}^{X} + \\Omega_{d,109}(U_{248}^{(109,96)}(t))\\sigma_{109}^{X} \\\\ & + \\Omega_{d,110}(U_{249}^{(110,100)}(t)+U_{250}^{(110,118)}(t))\\sigma_{110}^{X} + \\Omega_{d,111}(U_{252}^{(111,122)}(t)+U_{251}^{(111,104)}(t))\\sigma_{111}^{X} \\\\ & + \\Omega_{d,112}(U_{253}^{(112,108)}(t)+U_{254}^{(112,126)}(t))\\sigma_{112}^{X} + \\Omega_{d,113}(U_{255}^{(113,114)}(t))\\sigma_{113}^{X} \\\\ & + \\Omega_{d,114}(U_{256}^{(114,113)}(t)+U_{257}^{(114,115)}(t))\\sigma_{114}^{X} + \\Omega_{d,115}(U_{258}^{(115,114)}(t)+U_{259}^{(115,116)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{261}^{(116,117)}(t)+U_{260}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{262}^{(117,116)}(t)+U_{263}^{(117,118)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,118}(U_{265}^{(118,117)}(t)+U_{264}^{(118,110)}(t)+U_{266}^{(118,119)}(t))\\sigma_{118}^{X} + \\Omega_{d,119}(U_{267}^{(119,118)}(t)+U_{268}^{(119,120)}(t))\\sigma_{119}^{X} \\\\ & + \\Omega_{d,120}(U_{269}^{(120,119)}(t)+U_{270}^{(120,121)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{271}^{(121,120)}(t)+U_{272}^{(121,122)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{273}^{(122,111)}(t)+U_{274}^{(122,121)}(t)+U_{275}^{(122,123)}(t))\\sigma_{122}^{X} + \\Omega_{d,123}(U_{276}^{(123,122)}(t)+U_{277}^{(123,124)}(t))\\sigma_{123}^{X} \\\\ & + \\Omega_{d,124}(U_{278}^{(124,123)}(t)+U_{279}^{(124,125)}(t))\\sigma_{124}^{X} + \\Omega_{d,125}(U_{280}^{(125,124)}(t)+U_{281}^{(125,126)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{283}^{(126,125)}(t)+U_{282}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad14*X0||U1", "omegad2*X1||U3", "omegad0*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad4*X3||U7", "omegad2*X3||U6", "omegad15*X4||U10", "omegad5*X4||U9", "omegad3*X4||U8", "omegad6*X5||U12", "omegad4*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad8*X7||U16", "omegad6*X7||U15", "omegad16*X8||U18", "omegad7*X8||U17", "omegad10*X9||U19", "omegad11*X10||U21", "omegad9*X10||U20", "omegad12*X11||U23", "omegad10*X11||U22", "omegad17*X12||U26", "omegad13*X12||U25", "omegad11*X12||U24", "omegad12*X13||U27", "omegad0*X14||U28", "omegad18*X14||U29", "omegad22*X15||U31", "omegad4*X15||U30", "omegad26*X16||U33", "omegad8*X16||U32", "omegad30*X17||U35", "omegad12*X17||U34", "omegad14*X18||U36", "omegad19*X18||U37", "omegad18*X19||U38", "omegad20*X19||U39", "omegad33*X20||U42", "omegad21*X20||U41", "omegad19*X20||U40", "omegad20*X21||U43", "omegad22*X21||U44", "omegad15*X22||U45", "omegad23*X22||U47", "omegad21*X22||U46", "omegad24*X23||U49", "omegad22*X23||U48", "omegad34*X24||U52", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad27*X26||U57", "omegad16*X26||U55", "omegad25*X26||U56", "omegad28*X27||U59", "omegad26*X27||U58", "omegad29*X28||U61", "omegad27*X28||U60", "omegad35*X28||U62", "omegad28*X29||U63", "omegad30*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad17*X30||U65", "omegad30*X31||U68", "omegad32*X31||U69", "omegad31*X32||U70", "omegad36*X32||U71", "omegad39*X33||U73", "omegad20*X33||U72", "omegad43*X34||U75", "omegad24*X34||U74", "omegad47*X35||U77", "omegad28*X35||U76", "omegad51*X36||U79", "omegad32*X36||U78", "omegad52*X37||U81", "omegad38*X37||U80", "omegad39*X38||U83", "omegad37*X38||U82", "omegad40*X39||U86", "omegad33*X39||U84", "omegad38*X39||U85", "omegad41*X40||U88", "omegad39*X40||U87", "omegad42*X41||U90", "omegad40*X41||U89", "omegad53*X41||U91", "omegad41*X42||U92", "omegad43*X42||U93", "omegad44*X43||U96", "omegad42*X43||U95", "omegad34*X43||U94", "omegad43*X44||U97", "omegad45*X44||U98", "omegad44*X45||U99", "omegad54*X45||U101", "omegad46*X45||U100", "omegad47*X46||U103", "omegad45*X46||U102", "omegad48*X47||U106", "omegad35*X47||U104", "omegad46*X47||U105", "omegad49*X48||U108", "omegad47*X48||U107", "omegad50*X49||U110", "omegad55*X49||U111", "omegad48*X49||U109", "omegad51*X50||U113", "omegad49*X50||U112", "omegad50*X51||U115", "omegad36*X51||U114", "omegad37*X52||U116", "omegad56*X52||U117", "omegad60*X53||U119", "omegad41*X53||U118", "omegad45*X54||U120", "omegad64*X54||U121", "omegad68*X55||U123", "omegad49*X55||U122", "omegad57*X56||U125", "omegad52*X56||U124", "omegad56*X57||U126", "omegad58*X57||U127", "omegad57*X58||U128", "omegad71*X58||U130", "omegad59*X58||U129", "omegad60*X59||U132", "omegad58*X59||U131", "omegad61*X60||U135", "omegad53*X60||U133", "omegad59*X60||U134", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad72*X62||U140", "omegad61*X62||U138", "omegad64*X63||U142", "omegad62*X63||U141", "omegad63*X64||U144", "omegad65*X64||U145", "omegad54*X64||U143", "omegad64*X65||U146", "omegad66*X65||U147", "omegad73*X66||U150", "omegad67*X66||U149", "omegad65*X66||U148", "omegad66*X67||U151", "omegad68*X67||U152", "omegad55*X68||U153", "omegad69*X68||U155", "omegad67*X68||U154", "omegad70*X69||U157", "omegad68*X69||U156", "omegad69*X70||U158", "omegad74*X70||U159", "omegad58*X71||U160", "omegad77*X71||U161", "omegad81*X72||U163", "omegad62*X72||U162", "omegad85*X73||U165", "omegad66*X73||U164", "omegad89*X74||U167", "omegad70*X74||U166", "omegad90*X75||U169", "omegad76*X75||U168", "omegad77*X76||U171", "omegad75*X76||U170", "omegad76*X77||U173", "omegad71*X77||U172", "omegad78*X77||U174", "omegad77*X78||U175", "omegad79*X78||U176", "omegad91*X79||U179", "omegad80*X79||U178", "omegad78*X79||U177", "omegad79*X80||U180", "omegad81*X80||U181", "omegad82*X81||U184", "omegad80*X81||U183", "omegad72*X81||U182", "omegad83*X82||U186", "omegad81*X82||U185", "omegad84*X83||U188", "omegad82*X83||U187", "omegad92*X83||U189", "omegad85*X84||U191", "omegad83*X84||U190", "omegad73*X85||U192", "omegad84*X85||U193", "omegad86*X85||U194", "omegad87*X86||U196", "omegad85*X86||U195", "omegad88*X87||U198", "omegad86*X87||U197", "omegad93*X87||U199", "omegad89*X88||U201", "omegad87*X88||U200", "omegad88*X89||U203", "omegad74*X89||U202", "omegad94*X90||U205", "omegad75*X90||U204", "omegad98*X91||U207", "omegad79*X91||U206", "omegad102*X92||U209", "omegad83*X92||U208", "omegad106*X93||U211", "omegad87*X93||U210", "omegad95*X94||U213", "omegad90*X94||U212", "omegad96*X95||U215", "omegad94*X95||U214", "omegad97*X96||U217", "omegad95*X96||U216", "omegad109*X96||U218", "omegad98*X97||U220", "omegad96*X97||U219", "omegad91*X98||U221", "omegad99*X98||U223", "omegad97*X98||U222", "omegad100*X99||U225", "omegad98*X99||U224", "omegad101*X100||U227", "omegad99*X100||U226", "omegad110*X100||U228", "omegad100*X101||U229", "omegad102*X101||U230", "omegad103*X102||U233", "omegad92*X102||U231", "omegad101*X102||U232", "omegad102*X103||U234", "omegad104*X103||U235", "omegad103*X104||U236", "omegad111*X104||U238", "omegad105*X104||U237", "omegad106*X105||U240", "omegad104*X105||U239", "omegad93*X106||U241", "omegad107*X106||U243", "omegad105*X106||U242", "omegad108*X107||U245", "omegad106*X107||U244", "omegad107*X108||U246", "omegad112*X108||U247", "omegad96*X109||U248", "omegad100*X110||U249", "omegad118*X110||U250", "omegad122*X111||U252", "omegad104*X111||U251", "omegad108*X112||U253", "omegad126*X112||U254", "omegad114*X113||U255", "omegad113*X114||U256", "omegad115*X114||U257", "omegad114*X115||U258", "omegad116*X115||U259", "omegad117*X116||U261", "omegad115*X116||U260", "omegad116*X117||U262", "omegad118*X117||U263", "omegad117*X118||U265", "omegad110*X118||U264", "omegad119*X118||U266", "omegad118*X119||U267", "omegad120*X119||U268", "omegad119*X120||U269", "omegad121*X120||U270", "omegad120*X121||U271", "omegad122*X121||U272", "omegad111*X122||U273", "omegad121*X122||U274", "omegad123*X122||U275", "omegad122*X123||U276", "omegad124*X123||U277", 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{"operates": {"qubits": [70, 74]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u160": {"operates": {"qubits": [71, 58]}, "purpose": "cross-resonance", "type": "control"}, "u161": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u162": {"operates": {"qubits": [72, 62]}, "purpose": "cross-resonance", "type": "control"}, "u163": {"operates": {"qubits": [72, 81]}, "purpose": "cross-resonance", "type": "control"}, "u164": {"operates": {"qubits": [73, 66]}, "purpose": "cross-resonance", "type": "control"}, "u165": {"operates": {"qubits": [73, 85]}, "purpose": "cross-resonance", "type": "control"}, "u166": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u167": {"operates": {"qubits": [74, 89]}, "purpose": "cross-resonance", "type": "control"}, "u168": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": 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[83, 84]}, "purpose": "cross-resonance", "type": "control"}, "u189": {"operates": {"qubits": [83, 92]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 10]}, "purpose": "cross-resonance", "type": "control"}, "u190": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u191": {"operates": {"qubits": [84, 85]}, "purpose": "cross-resonance", "type": "control"}, "u192": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u193": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u194": {"operates": {"qubits": [85, 86]}, "purpose": "cross-resonance", "type": "control"}, "u195": {"operates": {"qubits": [86, 85]}, "purpose": "cross-resonance", "type": "control"}, "u196": {"operates": {"qubits": [86, 87]}, "purpose": "cross-resonance", "type": "control"}, "u197": {"operates": {"qubits": [87, 86]}, "purpose": "cross-resonance", "type": "control"}, "u198": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}, "u199": {"operates": {"qubits": [87, 93]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 9]}, "purpose": "cross-resonance", "type": "control"}, "u200": {"operates": {"qubits": [88, 87]}, "purpose": "cross-resonance", "type": "control"}, "u201": {"operates": {"qubits": [88, 89]}, "purpose": "cross-resonance", "type": "control"}, "u202": {"operates": {"qubits": [89, 74]}, "purpose": "cross-resonance", "type": "control"}, "u203": {"operates": {"qubits": [89, 88]}, "purpose": "cross-resonance", "type": "control"}, "u204": {"operates": {"qubits": [90, 75]}, "purpose": "cross-resonance", "type": "control"}, "u205": {"operates": {"qubits": [90, 94]}, "purpose": "cross-resonance", "type": "control"}, "u206": {"operates": {"qubits": [91, 79]}, "purpose": "cross-resonance", "type": "control"}, "u207": {"operates": {"qubits": [91, 98]}, "purpose": "cross-resonance", "type": "control"}, "u208": {"operates": {"qubits": [92, 83]}, "purpose": "cross-resonance", "type": "control"}, "u209": {"operates": {"qubits": [92, 102]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 11]}, "purpose": "cross-resonance", "type": "control"}, "u210": {"operates": {"qubits": [93, 87]}, "purpose": "cross-resonance", "type": "control"}, "u211": {"operates": {"qubits": [93, 106]}, "purpose": "cross-resonance", "type": "control"}, "u212": {"operates": {"qubits": [94, 90]}, "purpose": "cross-resonance", "type": "control"}, "u213": {"operates": {"qubits": [94, 95]}, "purpose": "cross-resonance", "type": "control"}, "u214": {"operates": {"qubits": [95, 94]}, "purpose": "cross-resonance", "type": "control"}, "u215": {"operates": {"qubits": [95, 96]}, "purpose": "cross-resonance", "type": "control"}, "u216": {"operates": {"qubits": [96, 95]}, "purpose": "cross-resonance", "type": "control"}, "u217": {"operates": {"qubits": [96, 97]}, "purpose": "cross-resonance", "type": "control"}, "u218": {"operates": {"qubits": [96, 109]}, "purpose": "cross-resonance", "type": "control"}, "u219": {"operates": {"qubits": [97, 96]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 10]}, "purpose": "cross-resonance", "type": "control"}, "u220": {"operates": {"qubits": [97, 98]}, "purpose": "cross-resonance", "type": "control"}, "u221": {"operates": {"qubits": [98, 91]}, "purpose": "cross-resonance", "type": "control"}, "u222": {"operates": {"qubits": [98, 97]}, "purpose": "cross-resonance", "type": "control"}, "u223": {"operates": {"qubits": [98, 99]}, "purpose": "cross-resonance", "type": "control"}, "u224": {"operates": {"qubits": [99, 98]}, "purpose": "cross-resonance", "type": "control"}, "u225": {"operates": {"qubits": [99, 100]}, "purpose": "cross-resonance", "type": "control"}, "u226": {"operates": {"qubits": [100, 99]}, "purpose": "cross-resonance", "type": "control"}, "u227": {"operates": {"qubits": [100, 101]}, "purpose": "cross-resonance", "type": "control"}, "u228": {"operates": {"qubits": [100, 110]}, "purpose": "cross-resonance", "type": "control"}, "u229": {"operates": {"qubits": [101, 100]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 12]}, "purpose": "cross-resonance", "type": "control"}, "u230": {"operates": {"qubits": [101, 102]}, "purpose": "cross-resonance", "type": "control"}, "u231": {"operates": {"qubits": [102, 92]}, "purpose": "cross-resonance", "type": "control"}, "u232": {"operates": {"qubits": [102, 101]}, "purpose": "cross-resonance", "type": "control"}, "u233": {"operates": {"qubits": [102, 103]}, "purpose": "cross-resonance", "type": "control"}, "u234": {"operates": {"qubits": [103, 102]}, "purpose": "cross-resonance", "type": "control"}, "u235": {"operates": {"qubits": [103, 104]}, "purpose": "cross-resonance", "type": "control"}, "u236": {"operates": {"qubits": [104, 103]}, "purpose": "cross-resonance", "type": "control"}, "u237": {"operates": {"qubits": [104, 105]}, "purpose": "cross-resonance", "type": "control"}, "u238": {"operates": {"qubits": [104, 111]}, "purpose": "cross-resonance", "type": "control"}, "u239": {"operates": {"qubits": [105, 104]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 11]}, "purpose": "cross-resonance", "type": "control"}, "u240": {"operates": {"qubits": [105, 106]}, "purpose": "cross-resonance", "type": "control"}, "u241": {"operates": {"qubits": [106, 93]}, "purpose": "cross-resonance", "type": "control"}, "u242": {"operates": {"qubits": [106, 105]}, "purpose": "cross-resonance", "type": "control"}, "u243": {"operates": {"qubits": [106, 107]}, "purpose": "cross-resonance", "type": "control"}, "u244": {"operates": {"qubits": [107, 106]}, "purpose": "cross-resonance", "type": "control"}, "u245": {"operates": {"qubits": [107, 108]}, "purpose": "cross-resonance", "type": "control"}, "u246": {"operates": {"qubits": [108, 107]}, "purpose": "cross-resonance", "type": "control"}, "u247": {"operates": {"qubits": [108, 112]}, "purpose": "cross-resonance", "type": "control"}, "u248": {"operates": {"qubits": [109, 96]}, "purpose": "cross-resonance", "type": "control"}, "u249": {"operates": {"qubits": [110, 100]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u250": {"operates": {"qubits": [110, 118]}, "purpose": "cross-resonance", "type": "control"}, "u251": {"operates": {"qubits": [111, 104]}, "purpose": "cross-resonance", "type": "control"}, "u252": {"operates": {"qubits": [111, 122]}, "purpose": "cross-resonance", "type": "control"}, "u253": {"operates": {"qubits": [112, 108]}, "purpose": "cross-resonance", "type": "control"}, "u254": {"operates": {"qubits": [112, 126]}, "purpose": "cross-resonance", "type": "control"}, "u255": {"operates": {"qubits": [113, 114]}, "purpose": "cross-resonance", "type": "control"}, "u256": {"operates": {"qubits": [114, 113]}, "purpose": "cross-resonance", "type": "control"}, "u257": {"operates": {"qubits": [114, 115]}, "purpose": "cross-resonance", "type": "control"}, "u258": {"operates": {"qubits": [115, 114]}, "purpose": "cross-resonance", "type": "control"}, "u259": {"operates": {"qubits": [115, 116]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 17]}, "purpose": "cross-resonance", "type": "control"}, "u260": {"operates": {"qubits": [116, 115]}, "purpose": "cross-resonance", "type": "control"}, "u261": {"operates": {"qubits": [116, 117]}, "purpose": "cross-resonance", "type": "control"}, "u262": {"operates": {"qubits": [117, 116]}, "purpose": "cross-resonance", "type": "control"}, "u263": {"operates": {"qubits": [117, 118]}, "purpose": "cross-resonance", "type": "control"}, "u264": {"operates": {"qubits": [118, 110]}, "purpose": "cross-resonance", "type": "control"}, "u265": {"operates": {"qubits": [118, 117]}, "purpose": "cross-resonance", "type": "control"}, "u266": {"operates": {"qubits": [118, 119]}, "purpose": "cross-resonance", "type": "control"}, "u267": {"operates": {"qubits": [119, 118]}, "purpose": "cross-resonance", "type": "control"}, "u268": {"operates": {"qubits": [119, 120]}, "purpose": "cross-resonance", "type": "control"}, "u269": {"operates": {"qubits": [120, 119]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u270": {"operates": {"qubits": [120, 121]}, "purpose": "cross-resonance", "type": "control"}, "u271": {"operates": {"qubits": [121, 120]}, "purpose": "cross-resonance", "type": "control"}, "u272": {"operates": {"qubits": [121, 122]}, "purpose": "cross-resonance", "type": "control"}, "u273": {"operates": {"qubits": [122, 111]}, "purpose": "cross-resonance", "type": "control"}, "u274": {"operates": {"qubits": [122, 121]}, "purpose": "cross-resonance", "type": "control"}, "u275": {"operates": {"qubits": [122, 123]}, "purpose": "cross-resonance", "type": "control"}, "u276": {"operates": {"qubits": [123, 122]}, "purpose": "cross-resonance", "type": "control"}, "u277": {"operates": {"qubits": [123, 124]}, "purpose": "cross-resonance", "type": "control"}, "u278": {"operates": {"qubits": [124, 123]}, "purpose": "cross-resonance", "type": "control"}, "u279": {"operates": {"qubits": [124, 125]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u280": {"operates": {"qubits": [125, 124]}, "purpose": "cross-resonance", "type": "control"}, "u281": {"operates": {"qubits": [125, 126]}, "purpose": "cross-resonance", "type": "control"}, "u282": {"operates": {"qubits": [126, 112]}, "purpose": "cross-resonance", "type": "control"}, "u283": {"operates": {"qubits": [126, 125]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 18]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [15, 4]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 22]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [16, 8]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [16, 26]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [17, 12]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [17, 30]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [18, 14]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [20, 21]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [20, 33]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [22, 15]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 21]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [24, 34]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 16]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [26, 27]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [27, 26]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [28, 35]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [30, 17]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [32, 31]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [32, 36]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [33, 20]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [33, 39]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [34, 24]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [34, 43]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [35, 28]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [35, 47]}, "purpose": 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7.220889474000001], [6.530364523, 7.530364523], [6.633458459000001, 7.633458459000001], [6.681903497, 7.681903497], [6.151967496, 7.151967496], [6.263917617000001, 7.263917617000001], [6.206960921, 7.206960921], [6.227165823, 7.227165823000001], [6.596498458, 7.596498458], [6.213592263000001, 7.213592263000001], [6.69227943, 7.69227943], [6.154154182, 7.154154182], [6.325176485, 7.325176485], [6.224434024000001, 7.224434024000001], [6.162186052, 7.162186052], [6.587707621000001, 7.587707621000001], [6.645404221000001, 7.645404221000001], [6.269938413, 7.269938413], [6.686801835000001, 7.686801835000001], [6.145675401, 7.145675401], [6.322100306, 7.322100306], [6.217137807, 7.217137807], [6.2700023090000006, 7.2700023090000006], [6.328344326000001, 7.328344326000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "linear_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) \\\\ & + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) \\\\ & + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) \\\\ & + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) \\\\ & + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) \\\\ & + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) \\\\ & + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) \\\\ & + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) \\\\ & + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) \\\\ & + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) \\\\ & + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) \\\\ & + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) \\\\ & + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) \\\\ & + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) \\\\ & + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) \\\\ & + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) \\\\ & + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) \\\\ & + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) \\\\ & + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) \\\\ & + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) \\\\ & + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) \\\\ & + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) \\\\ & + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) \\\\ & + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) \\\\ & + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) \\\\ & + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) \\\\ & + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) \\\\ & + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) \\\\ & + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) \\\\ & + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,14)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{3}^{(1,2)}(t)+U_{2}^{(1,0)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{7}^{(3,4)}(t)+U_{6}^{(3,2)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{10}^{(4,15)}(t)+U_{9}^{(4,5)}(t)+U_{8}^{(4,3)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{12}^{(5,6)}(t)+U_{11}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{14}^{(6,7)}(t)+U_{13}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{16}^{(7,8)}(t)+U_{15}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,16)}(t)+U_{17}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,10)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{21}^{(10,11)}(t)+U_{20}^{(10,9)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{23}^{(11,12)}(t)+U_{22}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{26}^{(12,17)}(t)+U_{25}^{(12,13)}(t)+U_{24}^{(12,11)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{28}^{(14,0)}(t)+U_{29}^{(14,18)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{31}^{(15,22)}(t)+U_{30}^{(15,4)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{33}^{(16,26)}(t)+U_{32}^{(16,8)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{35}^{(17,30)}(t)+U_{34}^{(17,12)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{36}^{(18,14)}(t)+U_{37}^{(18,19)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{38}^{(19,18)}(t)+U_{39}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{42}^{(20,33)}(t)+U_{41}^{(20,21)}(t)+U_{40}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{43}^{(21,20)}(t)+U_{44}^{(21,22)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{45}^{(22,15)}(t)+U_{47}^{(22,23)}(t)+U_{46}^{(22,21)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{52}^{(24,34)}(t)+U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{57}^{(26,27)}(t)+U_{55}^{(26,16)}(t)+U_{56}^{(26,25)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{59}^{(27,28)}(t)+U_{58}^{(27,26)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{61}^{(28,29)}(t)+U_{60}^{(28,27)}(t)+U_{62}^{(28,35)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{63}^{(29,28)}(t)+U_{64}^{(29,30)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{67}^{(30,31)}(t)+U_{66}^{(30,29)}(t)+U_{65}^{(30,17)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{68}^{(31,30)}(t)+U_{69}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{70}^{(32,31)}(t)+U_{71}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{73}^{(33,39)}(t)+U_{72}^{(33,20)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{75}^{(34,43)}(t)+U_{74}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{77}^{(35,47)}(t)+U_{76}^{(35,28)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{79}^{(36,51)}(t)+U_{78}^{(36,32)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{81}^{(37,52)}(t)+U_{80}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{83}^{(38,39)}(t)+U_{82}^{(38,37)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{86}^{(39,40)}(t)+U_{84}^{(39,33)}(t)+U_{85}^{(39,38)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{88}^{(40,41)}(t)+U_{87}^{(40,39)}(t))\\sigma_{40}^{X} + \\Omega_{d,41}(U_{90}^{(41,42)}(t)+U_{89}^{(41,40)}(t)+U_{91}^{(41,53)}(t))\\sigma_{41}^{X} \\\\ & + \\Omega_{d,42}(U_{92}^{(42,41)}(t)+U_{93}^{(42,43)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{96}^{(43,44)}(t)+U_{95}^{(43,42)}(t)+U_{94}^{(43,34)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{97}^{(44,43)}(t)+U_{98}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,45}(U_{99}^{(45,44)}(t)+U_{101}^{(45,54)}(t)+U_{100}^{(45,46)}(t))\\sigma_{45}^{X} \\\\ & + \\Omega_{d,46}(U_{103}^{(46,47)}(t)+U_{102}^{(46,45)}(t))\\sigma_{46}^{X} + \\Omega_{d,47}(U_{106}^{(47,48)}(t)+U_{104}^{(47,35)}(t)+U_{105}^{(47,46)}(t))\\sigma_{47}^{X} \\\\ & + \\Omega_{d,48}(U_{108}^{(48,49)}(t)+U_{107}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{110}^{(49,50)}(t)+U_{111}^{(49,55)}(t)+U_{109}^{(49,48)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{113}^{(50,51)}(t)+U_{112}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{115}^{(51,50)}(t)+U_{114}^{(51,36)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{116}^{(52,37)}(t)+U_{117}^{(52,56)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{119}^{(53,60)}(t)+U_{118}^{(53,41)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{120}^{(54,45)}(t)+U_{121}^{(54,64)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{123}^{(55,68)}(t)+U_{122}^{(55,49)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{125}^{(56,57)}(t)+U_{124}^{(56,52)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{126}^{(57,56)}(t)+U_{127}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{128}^{(58,57)}(t)+U_{130}^{(58,71)}(t)+U_{129}^{(58,59)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{132}^{(59,60)}(t)+U_{131}^{(59,58)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{135}^{(60,61)}(t)+U_{133}^{(60,53)}(t)+U_{134}^{(60,59)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{137}^{(61,62)}(t)+U_{136}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{139}^{(62,63)}(t)+U_{140}^{(62,72)}(t)+U_{138}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{142}^{(63,64)}(t)+U_{141}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{144}^{(64,63)}(t)+U_{145}^{(64,65)}(t)+U_{143}^{(64,54)}(t))\\sigma_{64}^{X} + \\Omega_{d,65}(U_{146}^{(65,64)}(t)+U_{147}^{(65,66)}(t))\\sigma_{65}^{X} \\\\ & + \\Omega_{d,66}(U_{150}^{(66,73)}(t)+U_{149}^{(66,67)}(t)+U_{148}^{(66,65)}(t))\\sigma_{66}^{X} + \\Omega_{d,67}(U_{151}^{(67,66)}(t)+U_{152}^{(67,68)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{153}^{(68,55)}(t)+U_{155}^{(68,69)}(t)+U_{154}^{(68,67)}(t))\\sigma_{68}^{X} + \\Omega_{d,69}(U_{157}^{(69,70)}(t)+U_{156}^{(69,68)}(t))\\sigma_{69}^{X} \\\\ & + \\Omega_{d,70}(U_{158}^{(70,69)}(t)+U_{159}^{(70,74)}(t))\\sigma_{70}^{X} + \\Omega_{d,71}(U_{160}^{(71,58)}(t)+U_{161}^{(71,77)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,72}(U_{163}^{(72,81)}(t)+U_{162}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{165}^{(73,85)}(t)+U_{164}^{(73,66)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{167}^{(74,89)}(t)+U_{166}^{(74,70)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{169}^{(75,90)}(t)+U_{168}^{(75,76)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,76}(U_{171}^{(76,77)}(t)+U_{170}^{(76,75)}(t))\\sigma_{76}^{X} + \\Omega_{d,77}(U_{173}^{(77,76)}(t)+U_{172}^{(77,71)}(t)+U_{174}^{(77,78)}(t))\\sigma_{77}^{X} \\\\ & + \\Omega_{d,78}(U_{175}^{(78,77)}(t)+U_{176}^{(78,79)}(t))\\sigma_{78}^{X} + \\Omega_{d,79}(U_{179}^{(79,91)}(t)+U_{178}^{(79,80)}(t)+U_{177}^{(79,78)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,80}(U_{180}^{(80,79)}(t)+U_{181}^{(80,81)}(t))\\sigma_{80}^{X} + \\Omega_{d,81}(U_{184}^{(81,82)}(t)+U_{183}^{(81,80)}(t)+U_{182}^{(81,72)}(t))\\sigma_{81}^{X} \\\\ & + \\Omega_{d,82}(U_{186}^{(82,83)}(t)+U_{185}^{(82,81)}(t))\\sigma_{82}^{X} + \\Omega_{d,83}(U_{188}^{(83,84)}(t)+U_{187}^{(83,82)}(t)+U_{189}^{(83,92)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{191}^{(84,85)}(t)+U_{190}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{192}^{(85,73)}(t)+U_{193}^{(85,84)}(t)+U_{194}^{(85,86)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{196}^{(86,87)}(t)+U_{195}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{198}^{(87,88)}(t)+U_{197}^{(87,86)}(t)+U_{199}^{(87,93)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,88}(U_{201}^{(88,89)}(t)+U_{200}^{(88,87)}(t))\\sigma_{88}^{X} + \\Omega_{d,89}(U_{203}^{(89,88)}(t)+U_{202}^{(89,74)}(t))\\sigma_{89}^{X} \\\\ & + \\Omega_{d,90}(U_{205}^{(90,94)}(t)+U_{204}^{(90,75)}(t))\\sigma_{90}^{X} + \\Omega_{d,91}(U_{207}^{(91,98)}(t)+U_{206}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{209}^{(92,102)}(t)+U_{208}^{(92,83)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{211}^{(93,106)}(t)+U_{210}^{(93,87)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{213}^{(94,95)}(t)+U_{212}^{(94,90)}(t))\\sigma_{94}^{X} + \\Omega_{d,95}(U_{215}^{(95,96)}(t)+U_{214}^{(95,94)}(t))\\sigma_{95}^{X} \\\\ & + \\Omega_{d,96}(U_{217}^{(96,97)}(t)+U_{216}^{(96,95)}(t)+U_{218}^{(96,109)}(t))\\sigma_{96}^{X} + \\Omega_{d,97}(U_{220}^{(97,98)}(t)+U_{219}^{(97,96)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{221}^{(98,91)}(t)+U_{223}^{(98,99)}(t)+U_{222}^{(98,97)}(t))\\sigma_{98}^{X} + \\Omega_{d,99}(U_{225}^{(99,100)}(t)+U_{224}^{(99,98)}(t))\\sigma_{99}^{X} \\\\ & + \\Omega_{d,100}(U_{227}^{(100,101)}(t)+U_{226}^{(100,99)}(t)+U_{228}^{(100,110)}(t))\\sigma_{100}^{X} + \\Omega_{d,101}(U_{229}^{(101,100)}(t)+U_{230}^{(101,102)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,102}(U_{233}^{(102,103)}(t)+U_{231}^{(102,92)}(t)+U_{232}^{(102,101)}(t))\\sigma_{102}^{X} + \\Omega_{d,103}(U_{234}^{(103,102)}(t)+U_{235}^{(103,104)}(t))\\sigma_{103}^{X} \\\\ & + \\Omega_{d,104}(U_{236}^{(104,103)}(t)+U_{238}^{(104,111)}(t)+U_{237}^{(104,105)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{240}^{(105,106)}(t)+U_{239}^{(105,104)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{241}^{(106,93)}(t)+U_{243}^{(106,107)}(t)+U_{242}^{(106,105)}(t))\\sigma_{106}^{X} + \\Omega_{d,107}(U_{245}^{(107,108)}(t)+U_{244}^{(107,106)}(t))\\sigma_{107}^{X} \\\\ & + \\Omega_{d,108}(U_{246}^{(108,107)}(t)+U_{247}^{(108,112)}(t))\\sigma_{108}^{X} + \\Omega_{d,109}(U_{248}^{(109,96)}(t))\\sigma_{109}^{X} \\\\ & + \\Omega_{d,110}(U_{249}^{(110,100)}(t)+U_{250}^{(110,118)}(t))\\sigma_{110}^{X} + \\Omega_{d,111}(U_{252}^{(111,122)}(t)+U_{251}^{(111,104)}(t))\\sigma_{111}^{X} \\\\ & + \\Omega_{d,112}(U_{253}^{(112,108)}(t)+U_{254}^{(112,126)}(t))\\sigma_{112}^{X} + \\Omega_{d,113}(U_{255}^{(113,114)}(t))\\sigma_{113}^{X} \\\\ & + \\Omega_{d,114}(U_{256}^{(114,113)}(t)+U_{257}^{(114,115)}(t))\\sigma_{114}^{X} + \\Omega_{d,115}(U_{258}^{(115,114)}(t)+U_{259}^{(115,116)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{261}^{(116,117)}(t)+U_{260}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{262}^{(117,116)}(t)+U_{263}^{(117,118)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,118}(U_{265}^{(118,117)}(t)+U_{264}^{(118,110)}(t)+U_{266}^{(118,119)}(t))\\sigma_{118}^{X} + \\Omega_{d,119}(U_{267}^{(119,118)}(t)+U_{268}^{(119,120)}(t))\\sigma_{119}^{X} \\\\ & + \\Omega_{d,120}(U_{269}^{(120,119)}(t)+U_{270}^{(120,121)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{271}^{(121,120)}(t)+U_{272}^{(121,122)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{273}^{(122,111)}(t)+U_{274}^{(122,121)}(t)+U_{275}^{(122,123)}(t))\\sigma_{122}^{X} + \\Omega_{d,123}(U_{276}^{(123,122)}(t)+U_{277}^{(123,124)}(t))\\sigma_{123}^{X} \\\\ & + \\Omega_{d,124}(U_{278}^{(124,123)}(t)+U_{279}^{(124,125)}(t))\\sigma_{124}^{X} + \\Omega_{d,125}(U_{280}^{(125,124)}(t)+U_{281}^{(125,126)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{283}^{(126,125)}(t)+U_{282}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad14*X0||U1", "omegad2*X1||U3", "omegad0*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad4*X3||U7", "omegad2*X3||U6", "omegad15*X4||U10", "omegad5*X4||U9", "omegad3*X4||U8", "omegad6*X5||U12", "omegad4*X5||U11", "omegad7*X6||U14", "omegad5*X6||U13", "omegad8*X7||U16", "omegad6*X7||U15", "omegad16*X8||U18", "omegad7*X8||U17", "omegad10*X9||U19", "omegad11*X10||U21", "omegad9*X10||U20", "omegad12*X11||U23", "omegad10*X11||U22", "omegad17*X12||U26", "omegad13*X12||U25", "omegad11*X12||U24", "omegad12*X13||U27", "omegad0*X14||U28", "omegad18*X14||U29", "omegad22*X15||U31", "omegad4*X15||U30", "omegad26*X16||U33", "omegad8*X16||U32", "omegad30*X17||U35", "omegad12*X17||U34", "omegad14*X18||U36", "omegad19*X18||U37", "omegad18*X19||U38", "omegad20*X19||U39", "omegad33*X20||U42", "omegad21*X20||U41", "omegad19*X20||U40", "omegad20*X21||U43", "omegad22*X21||U44", "omegad15*X22||U45", "omegad23*X22||U47", "omegad21*X22||U46", "omegad24*X23||U49", "omegad22*X23||U48", "omegad34*X24||U52", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad27*X26||U57", "omegad16*X26||U55", "omegad25*X26||U56", "omegad28*X27||U59", "omegad26*X27||U58", "omegad29*X28||U61", "omegad27*X28||U60", "omegad35*X28||U62", "omegad28*X29||U63", "omegad30*X29||U64", "omegad31*X30||U67", "omegad29*X30||U66", "omegad17*X30||U65", "omegad30*X31||U68", "omegad32*X31||U69", "omegad31*X32||U70", "omegad36*X32||U71", "omegad39*X33||U73", "omegad20*X33||U72", "omegad43*X34||U75", "omegad24*X34||U74", "omegad47*X35||U77", "omegad28*X35||U76", "omegad51*X36||U79", "omegad32*X36||U78", "omegad52*X37||U81", "omegad38*X37||U80", "omegad39*X38||U83", "omegad37*X38||U82", "omegad40*X39||U86", "omegad33*X39||U84", "omegad38*X39||U85", "omegad41*X40||U88", "omegad39*X40||U87", "omegad42*X41||U90", "omegad40*X41||U89", "omegad53*X41||U91", "omegad41*X42||U92", "omegad43*X42||U93", "omegad44*X43||U96", "omegad42*X43||U95", "omegad34*X43||U94", "omegad43*X44||U97", "omegad45*X44||U98", "omegad44*X45||U99", "omegad54*X45||U101", "omegad46*X45||U100", "omegad47*X46||U103", "omegad45*X46||U102", "omegad48*X47||U106", "omegad35*X47||U104", "omegad46*X47||U105", "omegad49*X48||U108", "omegad47*X48||U107", "omegad50*X49||U110", "omegad55*X49||U111", "omegad48*X49||U109", "omegad51*X50||U113", "omegad49*X50||U112", "omegad50*X51||U115", "omegad36*X51||U114", "omegad37*X52||U116", "omegad56*X52||U117", "omegad60*X53||U119", "omegad41*X53||U118", "omegad45*X54||U120", "omegad64*X54||U121", "omegad68*X55||U123", "omegad49*X55||U122", "omegad57*X56||U125", "omegad52*X56||U124", "omegad56*X57||U126", "omegad58*X57||U127", "omegad57*X58||U128", "omegad71*X58||U130", "omegad59*X58||U129", "omegad60*X59||U132", "omegad58*X59||U131", "omegad61*X60||U135", "omegad53*X60||U133", "omegad59*X60||U134", "omegad62*X61||U137", "omegad60*X61||U136", "omegad63*X62||U139", "omegad72*X62||U140", "omegad61*X62||U138", "omegad64*X63||U142", "omegad62*X63||U141", "omegad63*X64||U144", "omegad65*X64||U145", "omegad54*X64||U143", "omegad64*X65||U146", "omegad66*X65||U147", "omegad73*X66||U150", "omegad67*X66||U149", "omegad65*X66||U148", "omegad66*X67||U151", "omegad68*X67||U152", "omegad55*X68||U153", "omegad69*X68||U155", "omegad67*X68||U154", "omegad70*X69||U157", "omegad68*X69||U156", "omegad69*X70||U158", "omegad74*X70||U159", "omegad58*X71||U160", "omegad77*X71||U161", "omegad81*X72||U163", "omegad62*X72||U162", "omegad85*X73||U165", "omegad66*X73||U164", "omegad89*X74||U167", "omegad70*X74||U166", "omegad90*X75||U169", "omegad76*X75||U168", "omegad77*X76||U171", "omegad75*X76||U170", "omegad76*X77||U173", "omegad71*X77||U172", "omegad78*X77||U174", "omegad77*X78||U175", "omegad79*X78||U176", "omegad91*X79||U179", "omegad80*X79||U178", "omegad78*X79||U177", "omegad79*X80||U180", "omegad81*X80||U181", "omegad82*X81||U184", "omegad80*X81||U183", "omegad72*X81||U182", "omegad83*X82||U186", "omegad81*X82||U185", "omegad84*X83||U188", "omegad82*X83||U187", "omegad92*X83||U189", "omegad85*X84||U191", "omegad83*X84||U190", "omegad73*X85||U192", "omegad84*X85||U193", "omegad86*X85||U194", "omegad87*X86||U196", "omegad85*X86||U195", "omegad88*X87||U198", "omegad86*X87||U197", "omegad93*X87||U199", "omegad89*X88||U201", "omegad87*X88||U200", "omegad88*X89||U203", "omegad74*X89||U202", "omegad94*X90||U205", "omegad75*X90||U204", "omegad98*X91||U207", "omegad79*X91||U206", "omegad102*X92||U209", "omegad83*X92||U208", "omegad106*X93||U211", "omegad87*X93||U210", "omegad95*X94||U213", "omegad90*X94||U212", "omegad96*X95||U215", "omegad94*X95||U214", "omegad97*X96||U217", "omegad95*X96||U216", "omegad109*X96||U218", "omegad98*X97||U220", "omegad96*X97||U219", "omegad91*X98||U221", "omegad99*X98||U223", "omegad97*X98||U222", "omegad100*X99||U225", "omegad98*X99||U224", "omegad101*X100||U227", "omegad99*X100||U226", "omegad110*X100||U228", "omegad100*X101||U229", "omegad102*X101||U230", "omegad103*X102||U233", "omegad92*X102||U231", "omegad101*X102||U232", "omegad102*X103||U234", "omegad104*X103||U235", "omegad103*X104||U236", "omegad111*X104||U238", "omegad105*X104||U237", "omegad106*X105||U240", "omegad104*X105||U239", "omegad93*X106||U241", "omegad107*X106||U243", "omegad105*X106||U242", "omegad108*X107||U245", "omegad106*X107||U244", "omegad107*X108||U246", "omegad112*X108||U247", "omegad96*X109||U248", "omegad100*X110||U249", "omegad118*X110||U250", "omegad122*X111||U252", "omegad104*X111||U251", "omegad108*X112||U253", "omegad126*X112||U254", "omegad114*X113||U255", "omegad113*X114||U256", "omegad115*X114||U257", "omegad114*X115||U258", "omegad116*X115||U259", "omegad117*X116||U261", "omegad115*X116||U260", "omegad116*X117||U262", "omegad118*X117||U263", "omegad117*X118||U265", "omegad110*X118||U264", "omegad119*X118||U266", "omegad118*X119||U267", "omegad120*X119||U268", "omegad119*X120||U269", "omegad121*X120||U270", "omegad120*X121||U271", "omegad122*X121||U272", "omegad111*X122||U273", "omegad121*X122||U274", "omegad123*X122||U275", "omegad122*X123||U276", "omegad124*X123||U277", 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"type": "control"}, "u13": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [58, 71]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [60, 59]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [62, 72]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u144": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u145": {"operates": {"qubits": [64, 65]}, "purpose": "cross-resonance", "type": "control"}, "u146": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u147": {"operates": {"qubits": [65, 66]}, "purpose": "cross-resonance", "type": "control"}, "u148": {"operates": {"qubits": [66, 65]}, "purpose": "cross-resonance", "type": "control"}, "u149": {"operates": {"qubits": [66, 67]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u150": {"operates": {"qubits": [66, 73]}, "purpose": "cross-resonance", "type": "control"}, "u151": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u152": {"operates": {"qubits": [67, 68]}, "purpose": "cross-resonance", "type": "control"}, "u153": {"operates": {"qubits": [68, 55]}, "purpose": "cross-resonance", "type": "control"}, "u154": {"operates": {"qubits": [68, 67]}, "purpose": "cross-resonance", "type": "control"}, "u155": {"operates": {"qubits": [68, 69]}, "purpose": "cross-resonance", "type": "control"}, "u156": {"operates": {"qubits": [69, 68]}, "purpose": "cross-resonance", "type": "control"}, "u157": {"operates": {"qubits": [69, 70]}, "purpose": "cross-resonance", "type": "control"}, "u158": {"operates": {"qubits": [70, 69]}, "purpose": "cross-resonance", "type": "control"}, "u159": {"operates": {"qubits": [70, 74]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u160": {"operates": {"qubits": [71, 58]}, "purpose": "cross-resonance", "type": "control"}, "u161": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u162": {"operates": {"qubits": [72, 62]}, "purpose": "cross-resonance", "type": "control"}, "u163": {"operates": {"qubits": [72, 81]}, "purpose": "cross-resonance", "type": "control"}, "u164": {"operates": {"qubits": [73, 66]}, "purpose": "cross-resonance", "type": "control"}, "u165": {"operates": {"qubits": [73, 85]}, "purpose": "cross-resonance", "type": "control"}, "u166": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u167": {"operates": {"qubits": [74, 89]}, "purpose": "cross-resonance", "type": "control"}, "u168": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": "control"}, "u169": {"operates": {"qubits": [75, 90]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u170": {"operates": {"qubits": [76, 75]}, "purpose": "cross-resonance", "type": "control"}, "u171": {"operates": {"qubits": [76, 77]}, "purpose": "cross-resonance", "type": "control"}, "u172": {"operates": {"qubits": [77, 71]}, "purpose": "cross-resonance", "type": "control"}, "u173": {"operates": {"qubits": [77, 76]}, "purpose": "cross-resonance", "type": "control"}, "u174": {"operates": {"qubits": [77, 78]}, "purpose": "cross-resonance", "type": "control"}, "u175": {"operates": {"qubits": [78, 77]}, "purpose": "cross-resonance", "type": "control"}, "u176": {"operates": {"qubits": [78, 79]}, "purpose": "cross-resonance", "type": "control"}, "u177": {"operates": {"qubits": [79, 78]}, "purpose": "cross-resonance", "type": "control"}, "u178": {"operates": {"qubits": [79, 80]}, "purpose": "cross-resonance", "type": "control"}, "u179": {"operates": {"qubits": [79, 91]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 16]}, "purpose": "cross-resonance", "type": "control"}, "u180": {"operates": {"qubits": [80, 79]}, "purpose": "cross-resonance", "type": "control"}, "u181": {"operates": {"qubits": [80, 81]}, "purpose": "cross-resonance", "type": "control"}, "u182": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u183": {"operates": {"qubits": [81, 80]}, "purpose": "cross-resonance", "type": "control"}, "u184": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u185": {"operates": {"qubits": [82, 81]}, "purpose": "cross-resonance", "type": "control"}, "u186": {"operates": {"qubits": [82, 83]}, "purpose": "cross-resonance", "type": "control"}, "u187": {"operates": {"qubits": [83, 82]}, "purpose": "cross-resonance", "type": "control"}, "u188": {"operates": {"qubits": [83, 84]}, "purpose": "cross-resonance", "type": "control"}, "u189": {"operates": {"qubits": [83, 92]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 10]}, "purpose": "cross-resonance", "type": "control"}, "u190": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u191": {"operates": {"qubits": [84, 85]}, "purpose": "cross-resonance", "type": "control"}, "u192": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u193": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u194": {"operates": {"qubits": [85, 86]}, "purpose": "cross-resonance", "type": "control"}, "u195": {"operates": {"qubits": [86, 85]}, "purpose": "cross-resonance", "type": "control"}, "u196": {"operates": {"qubits": [86, 87]}, "purpose": "cross-resonance", "type": "control"}, "u197": {"operates": {"qubits": [87, 86]}, "purpose": "cross-resonance", "type": "control"}, "u198": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}, "u199": {"operates": {"qubits": [87, 93]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 9]}, "purpose": "cross-resonance", "type": "control"}, "u200": {"operates": {"qubits": [88, 87]}, "purpose": "cross-resonance", "type": "control"}, "u201": {"operates": {"qubits": [88, 89]}, "purpose": "cross-resonance", "type": "control"}, "u202": {"operates": {"qubits": [89, 74]}, "purpose": "cross-resonance", "type": "control"}, "u203": {"operates": {"qubits": [89, 88]}, "purpose": "cross-resonance", "type": "control"}, "u204": {"operates": {"qubits": [90, 75]}, "purpose": "cross-resonance", "type": "control"}, "u205": {"operates": {"qubits": [90, 94]}, "purpose": "cross-resonance", "type": "control"}, "u206": {"operates": {"qubits": [91, 79]}, "purpose": "cross-resonance", "type": "control"}, "u207": {"operates": {"qubits": [91, 98]}, "purpose": "cross-resonance", "type": "control"}, "u208": {"operates": {"qubits": [92, 83]}, "purpose": "cross-resonance", "type": "control"}, "u209": {"operates": {"qubits": [92, 102]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 11]}, "purpose": "cross-resonance", "type": "control"}, "u210": {"operates": {"qubits": [93, 87]}, "purpose": "cross-resonance", "type": "control"}, "u211": {"operates": {"qubits": [93, 106]}, "purpose": "cross-resonance", "type": "control"}, "u212": {"operates": {"qubits": [94, 90]}, "purpose": "cross-resonance", "type": "control"}, "u213": {"operates": {"qubits": [94, 95]}, "purpose": "cross-resonance", "type": "control"}, "u214": {"operates": {"qubits": [95, 94]}, "purpose": "cross-resonance", "type": "control"}, "u215": {"operates": {"qubits": [95, 96]}, "purpose": "cross-resonance", "type": "control"}, "u216": {"operates": {"qubits": [96, 95]}, "purpose": "cross-resonance", "type": "control"}, "u217": {"operates": {"qubits": [96, 97]}, "purpose": "cross-resonance", "type": "control"}, "u218": {"operates": {"qubits": [96, 109]}, "purpose": "cross-resonance", "type": "control"}, "u219": {"operates": {"qubits": [97, 96]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 10]}, "purpose": "cross-resonance", "type": "control"}, "u220": {"operates": {"qubits": [97, 98]}, "purpose": "cross-resonance", "type": "control"}, "u221": {"operates": {"qubits": [98, 91]}, "purpose": "cross-resonance", "type": "control"}, "u222": {"operates": {"qubits": [98, 97]}, "purpose": "cross-resonance", "type": "control"}, "u223": {"operates": {"qubits": [98, 99]}, "purpose": "cross-resonance", "type": "control"}, "u224": {"operates": {"qubits": [99, 98]}, "purpose": "cross-resonance", "type": "control"}, "u225": {"operates": {"qubits": [99, 100]}, "purpose": "cross-resonance", "type": "control"}, "u226": {"operates": {"qubits": [100, 99]}, "purpose": "cross-resonance", "type": "control"}, "u227": {"operates": {"qubits": [100, 101]}, "purpose": "cross-resonance", "type": "control"}, "u228": {"operates": {"qubits": [100, 110]}, "purpose": "cross-resonance", "type": "control"}, "u229": {"operates": {"qubits": [101, 100]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 12]}, "purpose": "cross-resonance", "type": "control"}, "u230": {"operates": {"qubits": [101, 102]}, "purpose": "cross-resonance", "type": "control"}, "u231": {"operates": {"qubits": [102, 92]}, "purpose": "cross-resonance", "type": "control"}, "u232": {"operates": {"qubits": [102, 101]}, "purpose": "cross-resonance", "type": "control"}, "u233": {"operates": {"qubits": [102, 103]}, "purpose": "cross-resonance", "type": "control"}, "u234": {"operates": {"qubits": [103, 102]}, "purpose": "cross-resonance", "type": "control"}, "u235": {"operates": {"qubits": [103, 104]}, "purpose": "cross-resonance", "type": "control"}, "u236": {"operates": {"qubits": [104, 103]}, "purpose": "cross-resonance", "type": "control"}, "u237": {"operates": {"qubits": [104, 105]}, "purpose": "cross-resonance", "type": "control"}, "u238": {"operates": {"qubits": [104, 111]}, "purpose": "cross-resonance", "type": "control"}, "u239": {"operates": {"qubits": [105, 104]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 11]}, "purpose": "cross-resonance", "type": "control"}, "u240": {"operates": {"qubits": [105, 106]}, "purpose": "cross-resonance", "type": "control"}, "u241": {"operates": {"qubits": [106, 93]}, "purpose": "cross-resonance", "type": "control"}, "u242": {"operates": {"qubits": [106, 105]}, "purpose": "cross-resonance", "type": "control"}, "u243": {"operates": {"qubits": [106, 107]}, "purpose": "cross-resonance", "type": "control"}, "u244": {"operates": {"qubits": [107, 106]}, "purpose": "cross-resonance", "type": "control"}, "u245": {"operates": {"qubits": [107, 108]}, "purpose": "cross-resonance", "type": "control"}, "u246": {"operates": {"qubits": [108, 107]}, "purpose": "cross-resonance", "type": "control"}, "u247": {"operates": {"qubits": [108, 112]}, "purpose": "cross-resonance", "type": "control"}, "u248": {"operates": {"qubits": [109, 96]}, "purpose": "cross-resonance", "type": "control"}, "u249": {"operates": {"qubits": [110, 100]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u250": {"operates": {"qubits": [110, 118]}, "purpose": "cross-resonance", "type": "control"}, "u251": {"operates": {"qubits": [111, 104]}, "purpose": "cross-resonance", "type": "control"}, "u252": {"operates": {"qubits": [111, 122]}, "purpose": "cross-resonance", "type": "control"}, "u253": {"operates": {"qubits": [112, 108]}, "purpose": "cross-resonance", "type": "control"}, "u254": {"operates": {"qubits": [112, 126]}, "purpose": "cross-resonance", "type": "control"}, "u255": {"operates": {"qubits": [113, 114]}, "purpose": "cross-resonance", "type": "control"}, "u256": {"operates": {"qubits": [114, 113]}, "purpose": "cross-resonance", "type": "control"}, "u257": {"operates": {"qubits": [114, 115]}, "purpose": "cross-resonance", "type": "control"}, "u258": {"operates": {"qubits": [115, 114]}, "purpose": "cross-resonance", "type": "control"}, "u259": {"operates": {"qubits": [115, 116]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 17]}, "purpose": "cross-resonance", "type": "control"}, "u260": {"operates": {"qubits": [116, 115]}, "purpose": "cross-resonance", "type": "control"}, "u261": {"operates": {"qubits": [116, 117]}, "purpose": "cross-resonance", "type": "control"}, "u262": {"operates": {"qubits": [117, 116]}, "purpose": "cross-resonance", "type": "control"}, "u263": {"operates": {"qubits": [117, 118]}, "purpose": "cross-resonance", "type": "control"}, "u264": {"operates": {"qubits": [118, 110]}, "purpose": "cross-resonance", "type": "control"}, "u265": {"operates": {"qubits": [118, 117]}, "purpose": "cross-resonance", "type": "control"}, "u266": {"operates": {"qubits": [118, 119]}, "purpose": "cross-resonance", "type": "control"}, "u267": {"operates": {"qubits": [119, 118]}, "purpose": "cross-resonance", "type": "control"}, "u268": {"operates": {"qubits": [119, 120]}, "purpose": "cross-resonance", "type": "control"}, "u269": {"operates": {"qubits": [120, 119]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u270": {"operates": {"qubits": [120, 121]}, "purpose": "cross-resonance", "type": "control"}, "u271": {"operates": {"qubits": [121, 120]}, "purpose": "cross-resonance", "type": "control"}, "u272": {"operates": {"qubits": [121, 122]}, "purpose": "cross-resonance", "type": "control"}, "u273": {"operates": {"qubits": [122, 111]}, "purpose": "cross-resonance", "type": "control"}, "u274": {"operates": {"qubits": [122, 121]}, "purpose": "cross-resonance", "type": "control"}, "u275": {"operates": {"qubits": [122, 123]}, "purpose": "cross-resonance", "type": "control"}, "u276": {"operates": {"qubits": [123, 122]}, "purpose": "cross-resonance", "type": "control"}, "u277": {"operates": {"qubits": [123, 124]}, "purpose": "cross-resonance", "type": "control"}, "u278": {"operates": {"qubits": [124, 123]}, "purpose": "cross-resonance", "type": "control"}, "u279": {"operates": {"qubits": [124, 125]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u280": {"operates": {"qubits": [125, 124]}, "purpose": "cross-resonance", "type": "control"}, "u281": {"operates": {"qubits": [125, 126]}, "purpose": "cross-resonance", "type": "control"}, "u282": {"operates": {"qubits": [126, 112]}, "purpose": "cross-resonance", "type": "control"}, "u283": {"operates": {"qubits": [126, 125]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 18]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [15, 4]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [15, 22]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [16, 8]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [16, 26]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [17, 12]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [17, 30]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [18, 14]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [20, 21]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [20, 33]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [22, 15]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 21]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [24, 34]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 16]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [26, 27]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [27, 26]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [28, 35]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [30, 17]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [32, 31]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [32, 36]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [33, 20]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [33, 39]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [34, 24]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [34, 43]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [35, 28]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [35, 47]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [36, 32]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [36, 51]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [37, 38]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [37, 52]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [38, 37]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [38, 39]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [39, 33]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [39, 38]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [39, 40]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [40, 39]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [40, 41]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [41, 40]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [41, 53]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [43, 34]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [44, 43]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [45, 44]}, "purpose": "cross-resonance", "type": "control"}}} \ No newline at end of file diff --git a/qiskit/providers/fake_provider/backends/yorktown/conf_yorktown.json b/qiskit/providers/fake_provider/backends/yorktown/conf_yorktown.json index 2e8f2aa5fd1b..46e76217cb42 100644 --- a/qiskit/providers/fake_provider/backends/yorktown/conf_yorktown.json +++ b/qiskit/providers/fake_provider/backends/yorktown/conf_yorktown.json @@ -1 +1 @@ -{"backend_name": "ibmqx2", "backend_version": "2.3.3", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [0, 2], [1, 0], [1, 2], [2, 0], [2, 1], [2, 3], [2, 4], [3, 2], [3, 4], [4, 2], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 2], [1, 0], [1, 2], [2, 0], [2, 1], [2, 3], [2, 4], [3, 2], [3, 4], [4, 2], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "sx", "id", "reset", "delay", "play", "u1", "measure", "acquire", "u2", "cx", "setf", "shiftf", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "family: Canary, revision: 1", "n_registers": 1, "credits_required": true, "online_date": "2017-01-24T05:00:00+00:00", "description": "5 qubit device Yorktown", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1}, "acquisition_latency": [], "allow_q_object": true, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [0, 2]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [4, 2]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 0]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [2, 4]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}}, "conditional_latency": [], "discriminators": ["quadratic_discriminator", "hw_centroid", "linear_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{2,4}(\\sigma_{2}^{+}\\sigma_{4}^{-}+\\sigma_{2}^{-}\\sigma_{4}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,2}(\\sigma_{0}^{+}\\sigma_{2}^{-}+\\sigma_{0}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,2)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{6}^{(2,3)}(t)+U_{5}^{(2,1)}(t)+U_{7}^{(2,4)}(t)+U_{4}^{(2,0)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{8}^{(3,2)}(t)+U_{9}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{11}^{(4,3)}(t)+U_{10}^{(4,2)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq2q4*Sp2*Sm4", "jq2q4*Sm2*Sp4", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q2*Sp0*Sm2", "jq0q2*Sm0*Sp2", "omegad1*X0||U0", "omegad2*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad3*X2||U6", "omegad1*X2||U5", "omegad4*X2||U7", "omegad0*X2||U4", "omegad2*X3||U8", "omegad4*X3||U9", "omegad3*X4||U11", "omegad2*X4||U10"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.078515989791283, "delta1": -2.076140198460304, "delta2": -2.3632544243955147, "delta3": -2.071793501418874, "delta4": -2.092928090491978, "jq0q1": 0.011968734726718661, "jq0q2": 0.01143731530238952, "jq1q2": 0.0077637124867075335, "jq2q3": 0.011434086611531646, "jq2q4": 0.011382837107272241, "jq3q4": 0.012622615872488169, "omegad0": 0.31227678627828565, "omegad1": 0.3287329454702026, "omegad2": 0.2641052707637787, "omegad3": 0.24124632745223779, "omegad4": 0.42046738820058555, "wq0": 33.18944334684542, "wq1": 32.97119189144383, "wq2": 31.62559984414466, "wq3": 33.25055909747699, "wq4": 31.908861733581208}}, "meas_kernels": ["hw_boxcar"], "meas_levels": [1, 2], "meas_lo_range": [[6.030433052, 7.030433052], [5.981651108, 6.981651108], [5.93654928, 6.93654928], [6.078886966, 7.078886966], [6.030066921, 7.030066921]], "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": true, "n_uchannels": 12, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 8, "qubit_channel_mapping": [["u4", "u0", "m0", "d0", "u1", "u2"], ["d1", "u0", "u2", "u3", "u5", "m1"], ["d2", "u4", "u7", "u8", "u10", "u1", "m2", "u3", "u5", "u6"], ["u8", "u11", "u9", "m3", "d3", "u6"], ["u7", "u11", "m4", "u9", "d4", "u10"]], "qubit_lo_range": [[4.782263967118866, 5.782263967118866], [4.747528169154703, 5.747528169154703], [4.5333705434418975, 5.533370543441897], [4.791990840932652, 5.791990840932652], [4.578453073335274, 5.578453073335273]], "rep_times": [0.001], "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true} \ No newline at end of file +{"backend_name": "ibmqx2", "backend_version": "2.3.3", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [0, 2], [1, 0], [1, 2], [2, 0], [2, 1], [2, 3], [2, 4], [3, 2], [3, 4], [4, 2], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": true, "conditional": false, "open_pulse": false, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [0, 2], [1, 0], [1, 2], [2, 0], [2, 1], [2, 3], [2, 4], [3, 2], [3, 4], [4, 2], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["rz", "sx", "id", "reset", "delay", "play", "u1", "measure", "acquire", "u2", "cx", "setf", "shiftf", "u3", "x"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 75, "sample_name": "family: Canary, revision: 1", "n_registers": 1, "credits_required": true, "online_date": "2017-01-24T05:00:00+00:00", "description": "5 qubit device Yorktown", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Canary", "revision": 1}, "acquisition_latency": [], "allow_q_object": true, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [0, 2]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [4, 2]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 0]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [2, 4]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}}, "conditional_latency": [], "discriminators": ["quadratic_discriminator", "hw_centroid", "linear_discriminator"], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{2,4}(\\sigma_{2}^{+}\\sigma_{4}^{-}+\\sigma_{2}^{-}\\sigma_{4}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{0,2}(\\sigma_{0}^{+}\\sigma_{2}^{-}+\\sigma_{0}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,2)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,0)}(t)+U_{3}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{6}^{(2,3)}(t)+U_{5}^{(2,1)}(t)+U_{7}^{(2,4)}(t)+U_{4}^{(2,0)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{8}^{(3,2)}(t)+U_{9}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{11}^{(4,3)}(t)+U_{10}^{(4,2)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq2q4*Sp2*Sm4", "jq2q4*Sm2*Sp4", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq0q2*Sp0*Sm2", "jq0q2*Sm0*Sp2", "omegad1*X0||U0", "omegad2*X0||U1", "omegad0*X1||U2", "omegad2*X1||U3", "omegad3*X2||U6", "omegad1*X2||U5", "omegad4*X2||U7", "omegad0*X2||U4", "omegad2*X3||U8", "omegad4*X3||U9", "omegad3*X4||U11", "omegad2*X4||U10"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.078515989791283, "delta1": -2.076140198460304, "delta2": -2.3632544243955147, "delta3": -2.071793501418874, "delta4": -2.092928090491978, "jq0q1": 0.011968734726718661, "jq0q2": 0.01143731530238952, "jq1q2": 0.0077637124867075335, "jq2q3": 0.011434086611531646, "jq2q4": 0.011382837107272241, "jq3q4": 0.012622615872488169, "omegad0": 0.31227678627828565, "omegad1": 0.3287329454702026, "omegad2": 0.2641052707637787, "omegad3": 0.24124632745223779, "omegad4": 0.42046738820058555, "wq0": 33.18944334684542, "wq1": 32.97119189144383, "wq2": 31.62559984414466, "wq3": 33.25055909747699, "wq4": 31.908861733581208}}, "meas_kernels": ["hw_boxcar"], "meas_levels": [1, 2], "meas_lo_range": [[6.030433052, 7.030433052], [5.981651108, 6.981651108], [5.93654928, 6.93654928], [6.078886966, 7.078886966], [6.030066921, 7.030066921]], "meas_map": [[0, 1, 2, 3, 4]], "multi_meas_enabled": true, "n_uchannels": 12, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "quantum_volume": 8, "qubit_channel_mapping": [["u4", "u0", "m0", "d0", "u1", "u2"], ["d1", "u0", "u2", "u3", "u5", "m1"], ["d2", "u4", "u7", "u8", "u10", "u1", "m2", "u3", "u5", "u6"], ["u8", "u11", "u9", "m3", "d3", "u6"], ["u7", "u11", "m4", "u9", "d4", "u10"]], "qubit_lo_range": [[4.782263967118866, 5.782263967118866], [4.747528169154703, 5.747528169154703], [4.533370543441897, 5.533370543441897], [4.791990840932652, 5.791990840932652], [4.578453073335274, 5.578453073335273]], "rep_times": [0.001], "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true} \ No newline at end of file diff --git a/releasenotes/notes/fix-fake-backend-config-e7fd4670423c3d7c.yaml b/releasenotes/notes/fix-fake-backend-config-e7fd4670423c3d7c.yaml new file mode 100644 index 000000000000..c78f17c052e9 --- /dev/null +++ b/releasenotes/notes/fix-fake-backend-config-e7fd4670423c3d7c.yaml @@ -0,0 +1,6 @@ +--- +fixes: + - | + Fixed a bug where all fake backends available in the + :attr:`qiskit.providers.fake_provider.configuration().simulator` returned ``False``. + Fixed `#9572 `.