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[[2ʲ, 2ʲ - 2j - 2, 4]]
Gottesman code
#282
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Benchmark ResultJudge resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsA ratio greater than
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Target resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsBelow is a table of this job's results, obtained by running the benchmarks.
Benchmark Group ListHere's a list of all the benchmark groups executed by this job:
Julia versioninfo
Baseline resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsBelow is a table of this job's results, obtained by running the benchmarks.
Benchmark Group ListHere's a list of all the benchmark groups executed by this job:
Julia versioninfo
Runtime information
Architecture: x86_64
Benchmark ResultJudge resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsA ratio greater than
Benchmark Group ListHere's a list of all the benchmark groups executed by this job:
Julia versioninfoTarget
Baseline
Target resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsBelow is a table of this job's results, obtained by running the benchmarks.
Benchmark Group ListHere's a list of all the benchmark groups executed by this job:
Julia versioninfo
Baseline resultBenchmark Report for /home/runner/work/QuantumClifford.jl/QuantumClifford.jlJob Properties
ResultsBelow is a table of this job's results, obtained by running the benchmarks.
Benchmark Group ListHere's a list of all the benchmark groups executed by this job:
Julia versioninfo
Runtime information
Architecture: x86_64
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Codecov ReportAttention: Patch coverage is
Additional details and impacted files@@ Coverage Diff @@
## master #282 +/- ##
==========================================
+ Coverage 82.20% 82.43% +0.22%
==========================================
Files 59 60 +1
Lines 3940 3945 +5
==========================================
+ Hits 3239 3252 +13
+ Misses 701 693 -8 ☔ View full report in Codecov by Sentry. |
Thanks, @Krastanov, for providing clarification in #287! Gottesman applies H to the state to get Family of Distance 4 codes. Previously, I was using
which can now be changed
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[[2ʲ, 2ʲ - 2j - 2, 4]]
Gottesman code
I found a small quantum code, aka a Distance 4 code from Gottesman 1997 thesis. This class of [[2ʲ, 2ʲ - j - 2, 3]]` Gottesman codes is derived from [[2ʲ, 2ʲ - 2j - 2, 4]] Gottesman codes . The method is taken from the his thesis:
X
and Pauli-Z
operators acting on all qubits, represented byMₓ
andMz
, respectively.j
generators correspond toM₁
throughMⱼ
, which are directly inherited from the[[2ʲ, 2ʲ - j - 2, 3]]
Gottesman code's stabilizers. This inclusion ensures thatS
retains the inherent distance-three property of the original Gottesman code.So, this is Gottesman(4) that we have in the library
j
generators are defined asNᵢ = RMᵢR
, wherei
ranges from1
toj
. Here,R
signifies a Hadamard Rotation operation applied to all2ʲ
qubits, andMᵢ
refers to one of the existing generators from the second set(M₁ to Mⱼ)
.Finally, Hadamard transform turns X operator to Z and Z operator to X, so for 1 to j Rows of (M₁ to Mⱼ)