From c3dbf2862d21f052bcf6f46834ca514b25485861 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 6 Aug 2024 22:28:07 +0000 Subject: [PATCH] build based on 80ce567 --- stable | 2 +- v0.4 | 1 + v0.4.0/.documenter-siteinfo.json | 1 + v0.4.0/API/index.html | 267 +++++ v0.4.0/QHO/index.html | 78 ++ v0.4.0/assets/documenter.js | 1059 +++++++++++++++++ v0.4.0/assets/init.js | 6 + v0.4.0/assets/themes/catppuccin-frappe.css | 1 + v0.4.0/assets/themes/catppuccin-latte.css | 1 + v0.4.0/assets/themes/catppuccin-macchiato.css | 1 + v0.4.0/assets/themes/catppuccin-mocha.css | 1 + v0.4.0/assets/themes/documenter-dark.css | 7 + v0.4.0/assets/themes/documenter-light.css | 9 + v0.4.0/assets/themeswap.js | 84 ++ v0.4.0/assets/warner.js | 52 + v0.4.0/bibliography/index.html | 2 + v0.4.0/express/index.html | 39 + v0.4.0/index.html | 78 ++ v0.4.0/introduction/index.html | 107 ++ v0.4.0/objects.inv | Bin 0 -> 1550 bytes v0.4.0/qubit_basis/index.html | 105 ++ v0.4.0/references.bib | 206 ++++ v0.4.0/search_index.js | 3 + v0.4.0/siteinfo.js | 1 + versions.js | 3 +- 25 files changed, 2112 insertions(+), 2 deletions(-) create mode 120000 v0.4 create mode 100644 v0.4.0/.documenter-siteinfo.json create mode 100644 v0.4.0/API/index.html create mode 100644 v0.4.0/QHO/index.html create mode 100644 v0.4.0/assets/documenter.js create mode 100644 v0.4.0/assets/init.js create mode 100644 v0.4.0/assets/themes/catppuccin-frappe.css create mode 100644 v0.4.0/assets/themes/catppuccin-latte.css create mode 100644 v0.4.0/assets/themes/catppuccin-macchiato.css create mode 100644 v0.4.0/assets/themes/catppuccin-mocha.css create mode 100644 v0.4.0/assets/themes/documenter-dark.css create mode 100644 v0.4.0/assets/themes/documenter-light.css create mode 100644 v0.4.0/assets/themeswap.js create mode 100644 v0.4.0/assets/warner.js create mode 100644 v0.4.0/bibliography/index.html create mode 100644 v0.4.0/express/index.html create mode 100644 v0.4.0/index.html create mode 100644 v0.4.0/introduction/index.html create mode 100644 v0.4.0/objects.inv create mode 100644 v0.4.0/qubit_basis/index.html create mode 100644 v0.4.0/references.bib create mode 100644 v0.4.0/search_index.js create mode 100644 v0.4.0/siteinfo.js diff --git a/stable b/stable index 6da69f3..01e994d 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.3.4 \ No newline at end of file +v0.4.0 \ No newline at end of file diff --git a/v0.4 b/v0.4 new file mode 120000 index 0000000..01e994d --- /dev/null +++ b/v0.4 @@ -0,0 +1 @@ +v0.4.0 \ No newline at end of file diff --git a/v0.4.0/.documenter-siteinfo.json b/v0.4.0/.documenter-siteinfo.json new file mode 100644 index 0000000..e6df0ea --- /dev/null +++ b/v0.4.0/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-08-06T22:28:04","documenter_version":"1.5.0"}} \ No newline at end of file diff --git a/v0.4.0/API/index.html b/v0.4.0/API/index.html new file mode 100644 index 0000000..9dc03d7 --- /dev/null +++ b/v0.4.0/API/index.html @@ -0,0 +1,267 @@ + +API · QuantumSymbolics.jl
GitHub

Full API

Autogenerated API list

QuantumSymbolics.Create — Constant

Creation operator, also available as the constant âꜛ, in an infinite dimension Fock basis. There is no unicode dagger superscript, so we use the uparrow

source
QuantumSymbolics.N — Constant

Number operator, also available as the constant n̂, in an infinite dimension Fock basis.

source
QuantumSymbolics.CreateOp — Type

Creation (raising) operator.

julia> f = FockState(2)
+|2⟩
+
+julia> create = CreateOp()
+a†
+
+julia> qsimplify(create*f, rewriter=qsimplify_fock)
+(sqrt(3))|3⟩
source
QuantumSymbolics.DestroyOp — Type

Annihilation (lowering or destroy) operator in defined Fock basis.

julia> f = FockState(2)
+|2⟩
+
+julia> destroy = DestroyOp()
+a
+
+julia> qsimplify(destroy*f, rewriter=qsimplify_fock)
+(sqrt(2))|1⟩
source
QuantumSymbolics.DisplaceOp — Type

Displacement operator in defined Fock basis.

julia> f = FockState(0)
+|0⟩
+
+julia> displace = DisplaceOp(im)
+D(im)
+
+julia> qsimplify(displace*f, rewriter=qsimplify_fock)
+|im⟩
source
QuantumSymbolics.IdentityOp — Type

The identity operator for a given basis

julia> IdentityOp(X1⊗X2)
+𝕀
+
+julia> express(IdentityOp(Z2))
+Operator(dim=2x2)
+  basis: Spin(1/2)sparse([1, 2], [1, 2], ComplexF64[1.0 + 0.0im, 1.0 + 0.0im], 2, 2)
source
QuantumSymbolics.KrausRepr — Type

Kraus representation of a quantum channel

julia> @op A₁; @op A₂; @op A₃;
+
+julia> K = kraus(A₁, A₂, A₃)
+𝒦(A₁,A₂,A₃)
+
+julia> @op ρ;
+
+julia> K*ρ
+(A₁ρA₁†+A₂ρA₂†+A₃ρA₃†)
source
QuantumSymbolics.MixedState — Type

Completely depolarized state

julia> MixedState(X1⊗X2)
+𝕄
+
+julia> express(MixedState(X1⊗X2))
+Operator(dim=4x4)
+  basis: [Spin(1/2) ⊗ Spin(1/2)]sparse([1, 2, 3, 4], [1, 2, 3, 4], ComplexF64[0.25 + 0.0im, 0.25 + 0.0im, 0.25 + 0.0im, 0.25 + 0.0im], 4, 4)
+
+julia> express(MixedState(X1⊗X2), CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
+
+𝒳ₗ━━
++ X_
++ _X
+𝒮𝓉𝒶𝒷
+
+𝒵ₗ━━
++ Z_
++ _Z
source
QuantumSymbolics.NumberOp — Type

Number operator.

julia> f = FockState(2)
+|2⟩
+
+julia> num = NumberOp()
+n
+
+julia> qsimplify(num*f, rewriter=qsimplify_fock)
+2|2⟩
source
QuantumSymbolics.PauliNoiseCPTP — Type

Single-qubit Pauli noise CPTP map

julia> apply!(express(Z1), [1], express(PauliNoiseCPTP(1/4,1/4,1/4)))
+Operator(dim=2x2)
+  basis: Spin(1/2)
+ 0.5+0.0im  0.0+0.0im
+ 0.0+0.0im  0.5+0.0im
source
QuantumSymbolics.PhaseShiftOp — Type

Phase-shift operator in defined Fock basis.

julia> c = CoherentState(im)
+|im⟩
+
+julia> phase = PhaseShiftOp(pi)
+U(π)
+
+julia> qsimplify(phase*c, rewriter=qsimplify_fock)
+|1.2246467991473532e-16 - 1.0im⟩
source
QuantumSymbolics.SAdd — Type

Addition of quantum objects (kets, operators, or bras).

julia> @ket k₁; @ket k₂;
+
+julia> k₁ + k₂
+(|k₁⟩+|k₂⟩)
source
QuantumSymbolics.SScaled — Type

Scaling of a quantum object (ket, operator, or bra) by a number.

julia> @ket k
+|k⟩
+
+julia> 2*k
+2|k⟩
+
+julia> @op A
+A 
+
+julia> 2*A
+2A
source
QuantumSymbolics.StabilizerState — Type

State defined by a stabilizer tableau

For full functionality you also need to import the QuantumClifford library.

julia> using QuantumClifford, QuantumOptics # needed for the internal representation of the stabilizer tableaux and the conversion to a ket
+
+julia> StabilizerState(S"XX ZZ")
+𝒮₂
+
+julia> express(StabilizerState(S"-X"))
+Ket(dim=2)
+  basis: Spin(1/2)
+  0.7071067811865475 + 0.0im
+ -0.7071067811865475 + 0.0im
source
Base.conj — Method

Complex conjugate of quantum objects (kets, bras, operators).

julia> @op A; @ket k;
+
+julia> conj(A)
+Aˣ
+
+julia> conj(k)
+|k⟩ˣ
source
Base.exp — Method

Exponential of a symbolic operator.

julia> @op A; @op B;
+
+julia> exp(A)
+exp(A)
source
Base.inv — Method

Inverse of an operator.

julia> @op A;
+
+julia> inv(A)
+A⁻¹
+
+julia> inv(A)*A
+𝕀
source
Base.transpose — Method

Transpose of quantum objects (kets, bras, operators).

julia> @op A; @op B; @ket k;
+
+julia> transpose(A)
+Aᵀ
+
+julia> transpose(A+B)
+(Aᵀ+Bᵀ)
+
+julia> transpose(k)
+|k⟩ᵀ
source
Base.vec — Method

Vectorization of a symbolic operator.

julia> @op A; @op B;
+
+julia> vec(A)
+|A⟩⟩
+
+julia> vec(A+B)
+(|A⟩⟩+|B⟩⟩)
source
LinearAlgebra.tr — Method

Trace of an operator

julia> @op A; @op B;
+
+julia> tr(A)
+tr(A)
+
+julia> tr(commutator(A, B))
+0
+
+julia> @bra b; @ket k;
+
+julia> tr(k*b)
+⟨b||k⟩
source
QuantumInterface.dagger — Method

Dagger, i.e., adjoint of quantum objects (kets, bras, operators).

julia> @ket a; @op A;
+
+julia> dagger(2*im*A*a)
+(0 - 2im)|a⟩†A†
+
+julia> @op B;
+
+julia> dagger(A*B)
+B†A†
+
+julia> ℋ = SHermitianOperator(:ℋ); U = SUnitaryOperator(:U);
+
+julia> dagger(ℋ)
+ℋ
+
+julia> dagger(U)
+U⁻¹
source
QuantumInterface.projector — Method

Projector for a given ket.

julia> projector(X1⊗X2)
+𝐏[|X₁⟩|X₂⟩]
+
+julia> express(projector(X2))
+Operator(dim=2x2)
+  basis: Spin(1/2)
+  0.5+0.0im  -0.5-0.0im
+ -0.5+0.0im   0.5+0.0im
source
QuantumInterface.ptrace — Method

Partial trace over system i of a composite quantum system

julia> @op 𝒪 SpinBasis(1//2)⊗SpinBasis(1//2);
+
+julia> op = ptrace(𝒪, 1)
+tr1(𝒪)
+
+julia> QuantumSymbolics.basis(op)
+Spin(1/2)
+
+julia> @op A; @op B;
+
+julia> ptrace(A⊗B, 1)
+(tr(A))B
+
+julia> @ket k; @bra b;
+
+julia> factorizable = A ⊗ (k*b)
+(A⊗|k⟩⟨b|)
+
+julia> ptrace(factorizable, 1)
+(tr(A))|k⟩⟨b|
+
+julia> ptrace(factorizable, 2)
+(⟨b||k⟩)A
+
+julia> mixed_state = (A⊗(k*b)) + ((k*b)⊗B)
+((A⊗|k⟩⟨b|)+(|k⟩⟨b|⊗B))
+
+julia> ptrace(mixed_state, 1)
+((0 + ⟨b||k⟩)B+(tr(A))|k⟩⟨b|)
+
+julia> ptrace(mixed_state, 2)
+((0 + ⟨b||k⟩)A+(tr(B))|k⟩⟨b|)
source
QuantumSymbolics.commutator — Method

Symbolic commutator of two operators. 

julia> @op A; @op B;
+
+julia> commutator(A, B)
+[A,B]
+
+julia> commutator(A, A)
+𝟎
source
QuantumSymbolics.express — Function
express(s, repr::AbstractRepresentation=QuantumOpticsRepr()[, use::AbstractUse])

The main interface for expressing quantum objects in various representations.

julia> express(X1)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 0.7071067811865475 + 0.0im
+ 0.7071067811865475 + 0.0im
+
+julia> express(X1, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
++ X
+
+julia> express(QuantumSymbolics.X)
+Operator(dim=2x2)
+  basis: Spin(1/2)sparse([2, 1], [1, 2], ComplexF64[1.0 + 0.0im, 1.0 + 0.0im], 2, 2)
+
+julia> express(QuantumSymbolics.X, CliffordRepr(), UseAsOperation())
+sX
+
+julia> express(QuantumSymbolics.X, CliffordRepr(), UseAsObservable())
++ X
source
QuantumSymbolics.qexpand — Method
qexpand(s)

Manually expand a symbolic expression of quantum objects. 

julia> @op A; @op B; @op C;
+
+julia> qexpand(commutator(A, B))
+(-1BA+AB)
+
+julia> qexpand(A⊗(B+C))
+((A⊗B)+(A⊗C))
+
+julia> @ket k₁; @ket k₂;
+
+julia> qexpand(A*(k₁+k₂))
+(A|k₁⟩+A|k₂⟩)
source
QuantumSymbolics.qsimplify — Method
qsimplify(s; rewriter=nothing)

Manually simplify a symbolic expression of quantum objects.

If the keyword rewriter is not specified, then qsimplify will apply every defined rule to the expression. For performance or single-purpose motivations, the user has the option to define a specific rewriter for qsimplify to apply to the expression. The defined rewriters for simplification are the following objects: - qsimplify_pauli - qsimplify_commutator - qsimplify_anticommutator

julia> qsimplify(σʸ*commutator(σˣ*σᶻ, σᶻ))
+(0 - 2im)Z
+
+julia> qsimplify(anticommutator(σˣ, σˣ), rewriter=qsimplify_anticommutator)
+2𝕀
source
QuantumSymbolics.@bra — Macro
@bra(name, basis=SpinBasis(1//2))

Define a symbolic bra of type SBra. By default, the defined basis is the spin-1/2 basis.

julia> @bra b₁
+⟨b₁|
+
+julia> @bra b₂ FockBasis(2)
+⟨b₂|
source
QuantumSymbolics.@ket — Macro
@ket(name, basis=SpinBasis(1//2))

Define a symbolic ket of type SKet. By default, the defined basis is the spin-1/2 basis.

julia> @ket k₁
+|k₁⟩
+
+julia> @ket k₂ FockBasis(2)
+|k₂⟩
source
QuantumSymbolics.@op — Macro
@op(name, basis=SpinBasis(1//2))

Define a symbolic ket of type SOperator. By default, the defined basis is the spin-1/2 basis.

julia> @op A
+A
+
+julia> @op B FockBasis(2)
+B
source
diff --git a/v0.4.0/QHO/index.html b/v0.4.0/QHO/index.html new file mode 100644 index 0000000..9dced13 --- /dev/null +++ b/v0.4.0/QHO/index.html @@ -0,0 +1,78 @@ + +Quantum Harmonic Oscillators · QuantumSymbolics.jl
GitHub

Quantum Harmonic Oscillators

In this section, we describe symbolic representations of bosonic systems in QuantumSymbolics, which can be numerically translated to QuantumOptics.jl.

States

A Fock state is a state with well defined number of excitation quanta of a single quantum harmonic oscillator (an eigenstate of the number operator). In the following example, we create a FockState with 3 quanta in an infinite-dimension Fock space:

julia> f = FockState(3)
+|3⟩

Both vacuum (ground) and single-photon states are defined as constants in both unicode and ASCII for convenience:

  • vac = F₀ = F0 $=|0\rangle$ in the number state representation,
  • F₁ = F1 $=|1\rangle$ in the number state representation.

To create quantum analogues of a classical harmonic oscillator, or monochromatic electromagnetic waves, we can define a coherent (a.k.a. semi-classical) state $|\alpha\rangle$, where $\alpha$ is a complex amplitude, with CoherentState(α::Number):

julia> c = CoherentState(im)
+|im⟩
Naming convention for quantum harmonic oscillator bases

The defined basis for arbitrary symbolic bosonic states is a FockBasis object, due to a shared naming interface for Quantum physics packages. For instance, the command basis(CoherentState(im)) will output Fock(cutoff=Inf). This may lead to confusion, as not all bosonic states are Fock states. However, this is simply a naming convention for the basis, and symbolic and numerical results are not affected by it.

Operators

Operations on bosonic states are supported, and can be simplified with qsimplify and its rewriter qsimplify_fock. For instance, we can apply the raising (creation) $\hat{a}^{\dagger}$ and lowering (annihilation or destroy) $\hat{a}$ operators on a Fock state as follows:

julia> f = FockState(3);
+
+julia> raise = Create*f
+a†|3⟩
+
+julia> qsimplify(raise, rewriter=qsimplify_fock)
+(sqrt(4))|4⟩
+
+julia> lower = Destroy*f
+a|3⟩
+
+julia> qsimplify(lower, rewriter=qsimplify_fock)
+(sqrt(3))|2⟩

Or, we can apply the number operator $\hat{n}$ to our Fock state:

julia> f = FockState(3);
+
+julia> num = N*f
+n|3⟩
+
+julia> qsimplify(num, rewriter=qsimplify_fock)
+3|3⟩

Constants are defined for number and ladder operators in unicode and ASCII:

  • N = n̂ $=\hat{n}$,
  • Create = âꜛ $=\hat{a}^{\dagger}$,
  • Destroy = â $=\hat{a}$.

Phase-shift $U(\theta)$ and displacement $D(\alpha)$ operators, defined respectively as $U(\theta) = \exp\left(-i\theta\hat{n}\right) \quad \text{and} \quad D(\alpha) = \exp\left(\alpha\hat{a}^{\dagger} - \alpha\hat{a}\right),$ can be defined with usual simplification rules. Consider the following example:

julia> displace = DisplaceOp(im)
+D(im)
+
+julia> c = qsimplify(displace*vac, rewriter=qsimplify_fock)
+|im⟩
+
+julia> phase = PhaseShiftOp(pi)
+U(π)
+
+julia> qsimplify(phase*c, rewriter=qsimplify_fock)
+|1.2246467991473532e-16 - 1.0im⟩

Here, we generated a coherent state $|i\rangle$ from the vacuum state $|0\rangle$ by applying the displacement operator defined by DisplaceOp. Then, we shifted its phase by $\pi$ with the phase shift operator (which is called with PhaseShiftOp) to get the result $|-i\rangle$.

Summarized below are supported bosonic operators.

  • Number operator: NumberOp(),
  • Creation operator: CreateOp(),
  • Annihilation operator: DestroyOp(),
  • Phase-shift operator: PhaseShiftOp(phase::Number),
  • Displacement operator: DisplaceOp(alpha::Number).

Numerical Conversions to QuantumOptics.jl

Bosonic systems can be translated to the ket representation with express. For instance:

julia> f = FockState(1);
+
+julia> express(f)
+Ket(dim=3)
+  basis: Fock(cutoff=2)
+ 0.0 + 0.0im
+ 1.0 + 0.0im
+ 0.0 + 0.0im
+
+julia> express(Create) |> dense
+Operator(dim=3x3)
+  basis: Fock(cutoff=2)
+ 0.0+0.0im      0.0+0.0im  0.0+0.0im
+ 1.0+0.0im      0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  1.41421+0.0im  0.0+0.0im
+
+julia> express(Create*f)
+Ket(dim=3)
+  basis: Fock(cutoff=2)
+                0.0 + 0.0im
+                0.0 + 0.0im
+ 1.4142135623730951 + 0.0im
+
+julia> express(Destroy*f)
+Ket(dim=3)
+  basis: Fock(cutoff=2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im
+ 0.0 + 0.0im
Cutoff specifications for numerical representations of quantum harmonic oscillators

Symbolic bosonic states and operators are naturally represented in an infinite dimension basis. For numerical conversions of such quantum objects, a finite cutoff of the highest allowed state must be defined. By default, the basis dimension of numerical conversions is set to 3 (so the number representation cutoff is 2), as demonstrated above. To define a different cutoff, one must customize the QuantumOpticsRepr instance, e.g. provide QuantumOpticsRepr(cutoff=n::Int) to express.

If we wish to specify a different numerical cutoff, say 4, to the previous examples, then we rewrite them as follows:

julia> f = FockState(1);
+
+julia> express(f, QuantumOpticsRepr(cutoff=4))
+Ket(dim=5)
+  basis: Fock(cutoff=4)
+ 0.0 + 0.0im
+ 1.0 + 0.0im
+ 0.0 + 0.0im
+ 0.0 + 0.0im
+ 0.0 + 0.0im
+
+julia> express(Create, QuantumOpticsRepr(4)) |> dense
+Operator(dim=5x5)
+  basis: Fock(cutoff=4)
+ 0.0+0.0im      0.0+0.0im      0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 1.0+0.0im      0.0+0.0im      0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  1.41421+0.0im      0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im      0.0+0.0im  1.73205+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im      0.0+0.0im      0.0+0.0im  2.0+0.0im  0.0+0.0im
diff --git a/v0.4.0/assets/documenter.js b/v0.4.0/assets/documenter.js new file mode 100644 index 0000000..b2bdd43 --- /dev/null +++ b/v0.4.0/assets/documenter.js @@ -0,0 +1,1059 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+ `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` + + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v0.4.0/assets/init.js b/v0.4.0/assets/init.js new file mode 100644 index 0000000..4274e66 --- /dev/null +++ b/v0.4.0/assets/init.js @@ -0,0 +1,6 @@ +require.config({ + paths: { + mermaid: 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html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe 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.button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 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.modal-card{display:flex;flex-direction:column;max-height:calc(100vh - 40px);overflow:hidden;-ms-overflow-y:visible}html.theme--catppuccin-frappe .modal-card-head,html.theme--catppuccin-frappe .modal-card-foot{align-items:center;background-color:#292c3c;display:flex;flex-shrink:0;justify-content:flex-start;padding:20px;position:relative}html.theme--catppuccin-frappe .modal-card-head{border-bottom:1px solid #626880;border-top-left-radius:8px;border-top-right-radius:8px}html.theme--catppuccin-frappe .modal-card-title{color:#c6d0f5;flex-grow:1;flex-shrink:0;font-size:1.5rem;line-height:1}html.theme--catppuccin-frappe .modal-card-foot{border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid #626880}html.theme--catppuccin-frappe .modal-card-foot .button:not(:last-child){margin-right:.5em}html.theme--catppuccin-frappe 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rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-primary.is-inverted[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-loading::after,html.theme--catppuccin-latte .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-primary.is-outlined,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-outlined:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-latte 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.button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-primary.is-light,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-light.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-latte .button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte .image.is-3by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-latte .image.is-4by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-latte .image.is-4by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-latte .image.is-3by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-latte .image.is-3by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-latte .image.is-2by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-latte .image.is-2by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte 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.button.is-ghost:hover,html.theme--catppuccin-macchiato .button.is-ghost.is-hovered{color:#8aadf4;text-decoration:underline}html.theme--catppuccin-macchiato .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:hover,html.theme--catppuccin-macchiato .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus,html.theme--catppuccin-macchiato .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus:not(:active),html.theme--catppuccin-macchiato .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .button.is-white:active,html.theme--catppuccin-macchiato .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-macchiato .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-white.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:hover,html.theme--catppuccin-macchiato .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus,html.theme--catppuccin-macchiato .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus:not(:active),html.theme--catppuccin-macchiato .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-macchiato .button.is-black:active,html.theme--catppuccin-macchiato .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-dark,html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-dark.is-inverted[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-focused{background-color:#363a4f;border-color:#363a4f;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons 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.button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-outlined:hover,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-white.is-outlined:focus,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:hover,html.theme--catppuccin-mocha .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus,html.theme--catppuccin-mocha .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus:not(:active),html.theme--catppuccin-mocha .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-mocha .button.is-black:active,html.theme--catppuccin-mocha .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:hover,html.theme--catppuccin-mocha .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus,html.theme--catppuccin-mocha .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus:not(:active),html.theme--catppuccin-mocha .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-mocha .button.is-light:active,html.theme--catppuccin-mocha .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-dark,html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:hover,html.theme--catppuccin-mocha .content kbd.button:hover,html.theme--catppuccin-mocha .button.is-dark.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark[disabled],html.theme--catppuccin-mocha .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:#313244;box-shadow:none}html.theme--catppuccin-mocha .button.is-dark.is-inverted,html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-dark.is-inverted[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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rgba(137,180,250,0.25)}html.theme--catppuccin-mocha .button.is-primary:active,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-mocha .button.is-primary.is-active,html.theme--catppuccin-mocha .docstring>section>a.button.is-active.docs-sourcelink{background-color:#71a4f9;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;box-shadow:none}html.theme--catppuccin-mocha .button.is-primary.is-inverted,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-inverted:hover,html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha 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!important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content 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input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #1abc9c}html.theme--documenter-dark a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #1abc9c}html.theme--documenter-dark .button{background-color:#282f2f;border-color:#4c5759;border-width:1px;color:#375a7f;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}html.theme--documenter-dark .button strong{color:inherit}html.theme--documenter-dark .button .icon,html.theme--documenter-dark .button .icon.is-small,html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--documenter-dark .button .icon.is-medium,html.theme--documenter-dark .button .icon.is-large{height:1.5em;width:1.5em}html.theme--documenter-dark .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--documenter-dark .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button:hover,html.theme--documenter-dark .button.is-hovered{border-color:#8c9b9d;color:#f2f2f2}html.theme--documenter-dark .button:focus,html.theme--documenter-dark .button.is-focused{border-color:#8c9b9d;color:#17a689}html.theme--documenter-dark .button:focus:not(:active),html.theme--documenter-dark .button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button:active,html.theme--documenter-dark .button.is-active{border-color:#343c3d;color:#f2f2f2}html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;color:#fff;text-decoration:underline}html.theme--documenter-dark .button.is-text:hover,html.theme--documenter-dark .button.is-text.is-hovered,html.theme--documenter-dark .button.is-text:focus,html.theme--documenter-dark .button.is-text.is-focused{background-color:#282f2f;color:#f2f2f2}html.theme--documenter-dark .button.is-text:active,html.theme--documenter-dark .button.is-text.is-active{background-color:#1d2122;color:#f2f2f2}html.theme--documenter-dark .button.is-text[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1abc9c;text-decoration:none}html.theme--documenter-dark .button.is-ghost:hover,html.theme--documenter-dark .button.is-ghost.is-hovered{color:#1abc9c;text-decoration:underline}html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:hover,html.theme--documenter-dark .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus,html.theme--documenter-dark .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus:not(:active),html.theme--documenter-dark .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--documenter-dark .button.is-white:active,html.theme--documenter-dark .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--documenter-dark .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark 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pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.4.0/assets/themeswap.js b/v0.4.0/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/v0.4.0/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. 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That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/v0.4.0/assets/warner.js b/v0.4.0/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/v0.4.0/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. 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Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v0.4.0/bibliography/index.html b/v0.4.0/bibliography/index.html new file mode 100644 index 0000000..1153daa --- /dev/null +++ b/v0.4.0/bibliography/index.html @@ -0,0 +1,2 @@ + +Bibliography · QuantumSymbolics.jl
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diff --git a/v0.4.0/express/index.html b/v0.4.0/express/index.html new file mode 100644 index 0000000..26d7e84 --- /dev/null +++ b/v0.4.0/express/index.html @@ -0,0 +1,39 @@ + +Express Functionality · QuantumSymbolics.jl
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Express functionality

A principle feature of QuantumSymbolics is to numerically represent symbolic quantum expressions in various formalisms using express. In particular, one can translate symbolic logic to back-end toolboxes such as QuantumOptics.jl or QuantumClifford.jl for simulating quantum systems with great flexibiity.

As a straightforward example, consider the spin-up state $|\uparrow\rangle = |0\rangle$, the eigenstate of the Pauli operator $Z$, which can be expressed in QuantumSymbolics as follows:

ψ = Z1

\[\left|Z_1\right\rangle\]

Using express, we can translate this symbolic object into its numerical state vector form in QuantumOptics.jl.

express(ψ)
Ket(dim=2)
+  basis: Spin(1/2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im

By default, express converts a quantum object with QuantumOpticRepr. It should be noted that express automatically caches this particular conversion of ψ. Thus, after running the above example, the numerical representation of the spin-up state is stored in the metadata of ψ.

ψ.metadata
QuantumSymbolics.Metadata(Dict{Tuple{AbstractRepresentation, AbstractUse}, Any}((QuantumOpticsRepr(2), UseAsState()) => Ket(dim=2)
+  basis: Spin(1/2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im))

The caching feature of express prevents a specific representation for a symbolic quantum object from being computed more than once. This becomes handy for translations of more complex operations, which can become computationally expensive. We also have the ability to express $|Z_1\rangle$ in the Clifford formalism with QuantumClifford.jl:

express(ψ, CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
++ Z

Here, we specified an instance of CliffordRepr in the second argument to convert ψ into a tableau of Pauli operators containing its stabilizer and destabilizer states. Now, both the state vector and Clifford representation of ψ have been cached:

ψ.metadata
QuantumSymbolics.Metadata(Dict{Tuple{AbstractRepresentation, AbstractUse}, Any}((QuantumOpticsRepr(2), UseAsState()) => Ket(dim=2)
+  basis: Spin(1/2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im, (CliffordRepr(), UseAsState()) => MixedDestablizer 1×1))

More involved examples can be explored. For instance, say we want to apply the tensor product $X\otimes Y$ of the Pauli operators $X$ and $Y$ to the Bell state $|\Phi^{+}\rangle = \dfrac{1}{\sqrt{2}}\left(|00\rangle + |11\rangle\right)$, and numerically express the result in the quantum optics formalism. This would be done as follows:

bellstate = (Z1⊗Z1+Z2⊗Z2)/√2
+tp = σˣ⊗σʸ
+express(tp*bellstate)
Ket(dim=4)
+  basis: [Spin(1/2) ⊗ Spin(1/2)]
+ 0.0 - 0.7071067811865475im
+ 0.0 + 0.0im
+ 0.0 + 0.0im
+ 0.0 + 0.7071067811865475im

Examples of Edge Cases

For Pauli operators, additional flexibility is given for translations to the Clifford formalism. Users have the option to convert a multi-qubit Pauli operator to an observable or operation with instances of UseAsObservable and UseAsOperation, respectively. Take the Pauli operator $Y$, for example, which in QuantumSymbolics is the constants Y or σʸ:

julia> express(σʸ, CliffordRepr(), UseAsObservable())
++ Y
+
+julia> express(σʸ, CliffordRepr(), UseAsOperation())
+sY

Another edge case is translations with QuantumOpticsRepr, where we can additionally define a finite cutoff for bosonic states and operators, as discussed in the quantum harmonic oscillators page. The default cutoff for such objects is 2, however a different cutoff can be specified by passing an integer to QuantumOpticsRepr in an express call. Let us see an example with the number operator:

julia> express(N) |> dense
+Operator(dim=3x3)
+  basis: Fock(cutoff=2)
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  1.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  2.0+0.0im
+
+julia> express(N, QuantumOpticsRepr(cutoff=4)) |> dense
+Operator(dim=5x5)
+  basis: Fock(cutoff=4)
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  1.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  2.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im  3.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im  4.0+0.0im
diff --git a/v0.4.0/index.html b/v0.4.0/index.html new file mode 100644 index 0000000..03d7d5a --- /dev/null +++ b/v0.4.0/index.html @@ -0,0 +1,78 @@ + +QuantumSymbolics.jl · QuantumSymbolics.jl
GitHub

QuantumSymbolics.jl

A symbolics package for quantum information science. It serves two purposes:

  • It provides for algebraic manipulation of mathematical expressions related to your quantum models. Particularly helpful when having to automatically generate or simplify expressions of significant complexity.
  • An assortment of "expression translators" are provided that can turn a symbolic expression into a numerical one in a variety of formalisms.

Below we list some commonly used expressions, followed by an autogenerated API list.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Symbolic ExampleConversion Example

Qubit Basis States X1, X2, Y1, Y2, Z1, Z2

Z1

\[\left|Z_1\right\rangle\]

express(Z1)
Ket(dim=2)
+  basis: Spin(1/2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im
express(Y2, CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
+- Y

Common gates: CNOT, H, etc

CNOT

\hat CNOT

express(H)
Operator(dim=2x2)
+  basis: Spin(1/2)sparse([1, 2, 1, 2], [1, 1, 2, 2], ComplexF64[0.7071067811865475 + 0.0im, 0.7071067811865475 + 0.0im, 0.7071067811865475 + 0.0im, -0.7071067811865475 + 0.0im], 2, 2)
express(CNOT, CliffordRepr(), UseAsOperation())
QuantumClifford.sCNOT

Tensor products ⊗ and sums +

(X1⊗Z2 + Y1⊗Y2 ) / √3

\[0.5773502691896258 \left|X_1\right\rangle\otimes\left|Z_2\right\rangle + \left|Y_1\right\rangle\otimes\left|Y_2\right\rangle\]

express(X1⊗Z1)
Ket(dim=4)
+  basis: [Spin(1/2) ⊗ Spin(1/2)]
+ 0.7071067811865475 + 0.0im
+ 0.7071067811865475 + 0.0im
+                0.0 + 0.0im
+                0.0 + 0.0im
express(X1⊗Y2, CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
++ Z_
++ _Z
+𝒮𝓉𝒶𝒷
++ X_
+- _Y

Projectors, pure density matrices

SProjector(X1⊗Z2)

\[\mathrm{projector}\left( \left|X_1\right\rangle\otimes\left|Z_2\right\rangle \right)\]

express(SProjector(X1⊗Z1))
Operator(dim=4x4)
+  basis: [Spin(1/2) ⊗ Spin(1/2)]
+ 0.5+0.0im  0.5+0.0im  0.0+0.0im  0.0+0.0im
+ 0.5+0.0im  0.5+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im
+ 0.0+0.0im  0.0+0.0im  0.0+0.0im  0.0+0.0im
express(SProjector(X1⊗Z1), CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
++ Z_
++ _X
+𝒮𝓉𝒶𝒷
++ X_
++ _Z

Completely depolarized (mixed) state

MixedState(X1)

\mathbb{M}

express(MixedState(X1))
Operator(dim=2x2)
+  basis: Spin(1/2)sparse([1, 2], [1, 2], ComplexF64[0.5 + 0.0im, 0.5 + 0.0im], 2, 2)
express(MixedState(X1), CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
+
+𝒳ₗ━
++ X
+𝒮𝓉𝒶𝒷
+
+𝒵ₗ━
++ Z

Impure states, represented as sum of density matrices

(MixedState(X1)+SProjector(Z1)) / 2

\[0.5 \mathrm{projector}\left( \left|Z_1\right\rangle \right) + \mathbb{M}\]

express((MixedState(X1)+SProjector(Z1)) / 2)
Operator(dim=2x2)
+  basis: Spin(1/2)
+ 0.75+0.0im   0.0+0.0im
+  0.0+0.0im  0.25+0.0im

When a Clifford representation is used, an efficient sampler is generated, and stabilizer states are randomly sampled from the correct distribution:

express(MixedState(X1)/2+SProjector(Z1)/2, CliffordRepr())
𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
++ Z
Stabilizer state expressions

The state written as $\frac{|Z₁⟩⊗|Z₁⟩+|Z₂⟩⊗|Z₂⟩}{√2}$ is a well known stabilizer state, namely a Bell state. However, automatically expressing it as a stabilizer is a prohibitively expensive computational operation in general. We do not perform that computation automatically. If you want to ensure that states you define can be automatically converted to tableaux for Clifford simulations, avoid using summation of kets. On the other hand, in all of our Clifford Monte-Carlo simulations, ⊗ is fully supported, as well as projector, MixedState, StabilizerState, and summation of density matrices.

diff --git a/v0.4.0/introduction/index.html b/v0.4.0/introduction/index.html new file mode 100644 index 0000000..7892499 --- /dev/null +++ b/v0.4.0/introduction/index.html @@ -0,0 +1,107 @@ + +Getting Started with QuantumSymbolics.jl · QuantumSymbolics.jl
GitHub

Getting Started with QuantumSymbolics.jl

QuantumSymbolics is designed for manipulation and numerical translation of symbolic quantum objects. This tutorial introduces basic features of the package.

Installation

QuantumSymbolics.jl can be installed through the Julia package system in the standard way:

using Pkg
+Pkg.add("QuantumSymbolics")

Literal Symbolic Quantum Objects

Basic objects of type SBra, SKet, SOperator, and SSuperOperator represent symbolic quantum objects with name and basis properties. Each type can be generated with a straightforward macro:

julia> using QuantumSymbolics
+
+julia> @bra b # object of type SBra
+⟨b|
+
+julia> @ket k # object of type SKet
+|k⟩
+
+julia> @op A # object of type SOperator
+A
+
+julia> @superop S # object of type SSuperOperator
+S

By default, each of the above macros defines a symbolic quantum object in the spin-1/2 basis. One can simply choose a different basis, such as the Fock basis or a tensor product of several bases, by passing an object of type Basis to the second argument in the macro call:

julia> @op B FockBasis(Inf, 0.0)
+B
+
+julia> basis(B)
+Fock(cutoff=Inf)
+
+julia> @op C SpinBasis(1//2)⊗SpinBasis(5//2)
+C
+
+julia> basis(C)
+[Spin(1/2) ⊗ Spin(5/2)]

Here, we extracted the basis of the defined symbolic operators using the basis function.

Symbolic quantum objects with additional properties can be defined, such as a Hermitian operator, or the zero ket (i.e., a symbolic ket equivalent to the zero vector $\bm{0}$).

Basic Operations

Expressions containing symbolic quantum objects can be built with a variety of functions. Let us consider the most fundamental operations: multiplication *, addition +, and the tensor product ⊗.

We can multiply, for example, a ket by a scalar value, or apply an operator to a ket:

julia> @ket k; @op A;
+
+julia> 2*k
+2|k⟩
+
+julia> A*k
+A|k⟩

Similar scaling procedures can be performed on bras and operators. Addition between symbolic objects is also available, for instance:

julia> @op A₁; @op A₂;
+
+julia> A₁+A₂
+(A₁+A₂)
+
+julia> @bra b;
+
+julia> 2*b + 5*b
+7⟨b|

Built into the package are straightforward automatic simplification rules, as shown in the last example, where 2⟨b|+5⟨b| evaluates to 7⟨b|.

Tensor products of symbolic objects can be performed, with basis information transferred:

julia> @ket k₁; @ket k₂;
+
+julia> tp = k₁⊗k₂
+|k₁⟩|k₂⟩
+
+julia> basis(tp)
+[Spin(1/2) ⊗ Spin(1/2)]

Inner and outer products of bras and kets can be generated:

julia> @bra b; @ket k;
+
+julia> b*k
+⟨b||k⟩
+
+julia> k*b
+|k⟩⟨b|

More involved combinations of operations can be explored. Here are few other straightforward examples:

julia> @bra b; @ket k; @op A; @op B;
+
+julia> 3*A*B*k
+3AB|k⟩
+
+julia> A⊗(k*b + B)
+(A⊗(B+|k⟩⟨b|))
+
+julia> A-A
+𝟎

In the last example, a zero operator, denoted 𝟎, was returned by subtracting a symbolic operator from itself. Such an object is of the type SZeroOperator, and similar objects SZeroBra and SZeroKet correspond to zero bras and zero kets, respectively.

Linear Algebra on Bras, Kets, and Operators

QuantumSymbolics supports a wide variety of linear algebra on symbolic bras, kets, and operators. For instance, the commutator and anticommutator of two operators, can be generated:

julia> @op A; @op B;
+
+julia> commutator(A, B)
+[A,B]
+
+julia> anticommutator(A, B)
+{A,B}
+
+julia> commutator(A, A)
+𝟎

Or, one can take the dagger of a quantum object with the dagger function:

julia> @ket k; @op A; @op B;
+
+julia> dagger(A)
+A†
+
+julia> dagger(A*k)
+|k⟩†A†
+
+julia> dagger(A*B)
+B†A†

Below, we state all of the supported linear algebra operations on quantum objects:

Simplifying Expressions

For predefined objects such as the Pauli operators X, Y, and Z, additional simplification can be performed with the qsimplify function. Take the following example:

julia> qsimplify(X*Z)
+(0 - 1im)Y

Here, we have the relation $XZ = -iY$, so calling qsimplify on the expression X*Z will rewrite the expression as -im*Y.

Note that simplification rewriters used in QuantumSymbolics are built from the interface of SymbolicUtils.jl. By default, when called on an expression, qsimplify will iterate through every defined simplification rule in the QuantumSymbolics package until the expression can no longer be simplified.

Now, suppose we only want to use a specific subset of rules. For instance, say we wish to simplify commutators, but not anticommutators. Then, we can pass the keyword argument rewriter=qsimplify_commutator to qsimplify, as done in the following example:

julia> qsimplify(commutator(X, Y), rewriter=qsimplify_commutator)
+(0 + 2im)Z
+
+julia> qsimplify(anticommutator(X, Y), rewriter=qsimplify_commutator)
+{X,Y}

As shown above, we apply qsimplify to two expressions: commutator(X, Y) and anticommutator(X, Y). We specify that only commutator rules will be applied, thus the first expression is rewritten to (0 + 2im)Z while the second expression is simply returned. This feature can greatly reduce the time it takes for an expression to be simplified.

Below, we state all of the simplification rule subsets that can be passed to qsimplify:

  • qsimplify_pauli for Pauli multiplication,
  • qsimplify_commutator for commutators of Pauli operators,
  • qsimplify_anticommutator for anticommutators of Pauli operators.

Expanding Expressions

Symbolic expressions containing quantum objects can be expanded with the qexpand function. We demonstrate this capability with the following examples.

julia> @op A; @op B; @op C;
+
+julia> qexpand(A⊗(B+C))
+((A⊗B)+(A⊗C))
+
+julia> qexpand((B+C)*A)
+(BA+CA)
+
+julia> @ket k₁; @ket k₂; @ket k₃;
+
+julia> qexpand(k₁⊗(k₂+k₃))
+(|k₁⟩|k₂⟩+|k₁⟩|k₃⟩)
+
+julia> qexpand((A*B)*(k₁+k₂))
+(AB|k₁⟩+AB|k₂⟩)

Numerical Translation of Symbolic Objects

Symbolic expressions containing predefined objects can be converted to numerical representations with express. Numerics packages supported by this translation capability are QuantumOptics.jl and QuantumClifford.jl.

By default, express converts an object to the quantum optics state vector representation. For instance, we can represent the exponential of the Pauli operator X numerically as follows:

julia> using QuantumOptics
+
+julia> express(exp(X))
+Operator(dim=2x2)
+  basis: Spin(1/2)sparse([1, 2, 1, 2], [1, 1, 2, 2], ComplexF64[1.5430806327160496 + 0.0im, 1.1752011684303352 + 0.0im, 1.1752011684303352 + 0.0im, 1.5430806327160496 + 0.0im], 2, 2)

To convert to the Clifford representation, an instance of CliffordRepr must be passed to express. For instance, we can represent the projection of the basis state X1 of the Pauli operator X as follows:

julia> using QuantumClifford
+
+julia> express(projector(X1), CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
++ X

For more details on using express, refer to the express functionality page.

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GitHub

Typical Qubit Bases

Here are some common conventions for representing a qubit in a physical system. This reference is provided as the conventions matter to the correct choice of noise processes and bases in which they are represented.

In monospaced code format we give the symbols by which these objects are callable in QuantumSymbolics. We provide unicode and ASCII names for convenience of typing.

Spin $\frac{1}{2}$ qubits

First we introduce the Pauli matrices:

julia> express(σᶻ) |> dense # or `Z`
+Operator(dim=2x2)
+  basis: Spin(1/2)
+ 1.0+0.0im   0.0+0.0im
+ 0.0+0.0im  -1.0+0.0im
+
+julia> express(σˣ) |> dense # or `X`
+Operator(dim=2x2)
+  basis: Spin(1/2)
+ 0.0+0.0im  1.0+0.0im
+ 1.0+0.0im  0.0+0.0im
+
+julia> express(σʸ) |> dense # or `Y`
+Operator(dim=2x2)
+  basis: Spin(1/2)
+ 0.0+0.0im  -0.0-1.0im
+ 0.0+1.0im   0.0+0.0im

Above dense is from QuantumOptics, used to convert their representation to a dense matrix.

The eigenvectors of each one of them provides for a convenient basis. The σᶻ basis is also called the computational basis. As mentioned, we have both unicode and ASCII names for convenience of typing. For these basis vectors we also have two sets of names: one based on which operator they are eigenvectors of and one in terms of typical logical representation (with prefix L).

  • Z1 = Z₁ = L0 = L₀ = $|0\rangle = \begin{pmatrix}1\\0\end{pmatrix} = |\uparrow\rangle$ with eigenvalue +1 for σᶻ
  • Z2 = Z₂ = L1 = L₁ = $|1\rangle = \begin{pmatrix}0\\1\end{pmatrix} = |\downarrow\rangle$ with eigenvalue +1 for σᶻ
  • X1 = X₁ = Lp = L₊ = $|+\rangle = \frac{1}{\sqrt 2}\begin{pmatrix}1\\1\end{pmatrix}$ with eigenvalue +1 for σˣ
  • X2 = X₂ = Lm = L₋ = $|-\rangle = \frac{1}{\sqrt 2}\begin{pmatrix}1\\-1\end{pmatrix}$ with eigenvalue -1 for σˣ
  • Y1 = Y₁ = Lpi = L₊ᵢ = $|+i\rangle = \frac{1}{\sqrt 2}\begin{pmatrix}1\\ i\end{pmatrix}$ with eigenvalue +1 for σʸ
  • Y2 = Y₂ = Lmi = L₋ᵢ = $|-i\rangle = \frac{1}{\sqrt 2}\begin{pmatrix}1\\-i\end{pmatrix}$ with eigenvalue -1 for σʸ

The Y vectors occasionally are denoted with R and L (stemming from the vector notation for right and left polarized light), but there is no established notation choice or ordering.

Talking about ground/excited and spin-up/spin-down states can lead to confusion

We specifically avoid using notation with "ground" and "excited" states. For physicist usually the excited state is the "up" states ($|e\rangle=|\uparrow\rangle$), but that historical choice clashes with the logical state notation as we have the logical zero be the "excited" state. This clash becomes particularly confusing when noise processes and relaxation process are taken into account. E.g. one might think the operator usually denoted $\hat{\sigma}_-$ would be the one corresponding to decay but we actually have $\hat{\sigma}_-|0\rangle=|1\rangle$. To avoid this confusion we strive to not use the notation $|\uparrow\rangle$, $|\downarrow\rangle$, $|e\rangle$, and $|g\rangle$. Similarly we strongly prefer to never use $\hat{\sigma}_-$ and $\hat{\sigma}_+$, rather only use $|1\rangle \langle0|$ and its conjugate. If we were instead talking about single-rail photonic qubits, we do not have the same issue (because the diagonal of the number operator is growing, instead of decreasing like the diagonal of the Pauli Z).

The basis states can be easily expressed both as kets and as tableaux (In the tableau representation below the top half corresponds to the destabilizer, while the bottom is the stabilizer):

julia> express(L0, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
++ Z
+
+
+julia> express(L1, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
+- Z
+
+
+julia> express(L₀, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
++ Z
+
+
+julia> express(L₁, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ X
+𝒮𝓉𝒶𝒷
+- Z
+
+
+julia> express(L₊, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
++ X
+
+
+julia> express(L₋, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
+- X
+
+
+julia> express(L₊ᵢ, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
++ Y
+
+
+julia> express(L₋ᵢ, CliffordRepr())
+𝒟ℯ𝓈𝓉𝒶𝒷
++ Z
+𝒮𝓉𝒶𝒷
+- Y
julia> express(L₀)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 1.0 + 0.0im
+ 0.0 + 0.0im
+
+julia> express(L₁)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 0.0 + 0.0im
+ 1.0 + 0.0im
+
+julia> express(L₊)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 0.7071067811865475 + 0.0im
+ 0.7071067811865475 + 0.0im
+
+julia> express(L₋)
+Ket(dim=2)
+  basis: Spin(1/2)
+  0.7071067811865475 + 0.0im
+ -0.7071067811865475 + 0.0im
+
+julia> express(L₊ᵢ)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 0.7071067811865475 + 0.0im
+                0.0 + 0.7071067811865475im
+
+julia> express(L₋ᵢ)
+Ket(dim=2)
+  basis: Spin(1/2)
+ 0.7071067811865475 + 0.0im
+                0.0 - 0.7071067811865475im
diff --git a/v0.4.0/references.bib b/v0.4.0/references.bib new file mode 100644 index 0000000..9de8bd0 --- /dev/null +++ b/v0.4.0/references.bib @@ -0,0 +1,206 @@ +@article{mackay2004sparse, + title={Sparse-graph codes for quantum error correction}, + author={MacKay, David JC and Mitchison, Graeme and McFadden, Paul L}, + journal={IEEE Transactions on Information Theory}, + volume={50}, + number={10}, + pages={2315--2330}, + year={2004}, + publisher={IEEE}, + doi={10.1109/TIT.2004.834737} +} + +@article{calderbank1998quantum, + title={Quantum error correction via codes over GF (4)}, + author={Calderbank, A Robert and Rains, Eric M and Shor, PM and Sloane, Neil JA}, + journal={IEEE Transactions on Information Theory}, + volume={44}, + number={4}, + pages={1369--1387}, + year={1998}, + publisher={IEEE}, + doi={10.1109/18.681315} +} + +@inproceedings{steane2007tutorial, + title={A tutorial on quantum error correction}, + author={Steane, Andrew M}, + booktitle={PROCEEDINGS-INTERNATIONAL SCHOOL OF PHYSICS ENRICO FERMI}, + volume={162}, + pages={1}, + year={2007}, + organization={IOS Press; Ohmsha; 1999}, + doi={10.3254/978-1-61499-018-5-1} +} + +@article{wilde2009logical, + title={Logical operators of quantum codes}, + author={Wilde, Mark M}, + journal={Physical Review A}, + volume={79}, + number={6}, + pages={062322}, + year={2009}, + publisher={APS}, + doi={10.1103/PhysRevA.79.062322} +} + +% The basis of the tableaux algorithm + +@inproceedings{gottesman1998heisenberg, + title={The Heisenberg representation of quantum computers}, + author={Gottesman, Daniel}, + booktitle={International Conference on Group Theoretic Methods in Physics}, + year={1998}, + organization={Citeseer}, + url={https://arxiv.org/abs/quant-ph/9807006} +} + +@article{aaronson2004improved, + title={Improved simulation of stabilizer circuits}, + author={Aaronson, Scott and Gottesman, Daniel}, + journal={Physical Review A}, + volume={70}, + number={5}, + pages={052328}, + year={2004}, + publisher={APS}, + doi={10.1103/PhysRevA.70.052328} +} + +% Random Stabilizers + +@article{koenig2014efficiently, + title={How to efficiently select an arbitrary Clifford group element}, + author={Koenig, Robert and Smolin, John A}, + journal={Journal of Mathematical Physics}, + volume={55}, + number={12}, + pages={122202}, + year={2014}, + publisher={AIP Publishing}, + doi={10.1063/1.4903507} +} + +@article{bravyi2020hadamard, + title={Hadamard-free circuits expose the structure of the Clifford group}, + author={Bravyi, Sergey and Maslov, Dmitri}, + journal={IEEE Transactions on Information Theory}, + volume={67}, + number={7}, + pages={4546--4563}, + year={2021}, + publisher={IEEE}, + doi={10.1109/TIT.2021.3081415} +} + +@inproceedings{berg2020simple, + title={A simple method for sampling random Clifford operators}, + author={Van Den Berg, Ewout}, + booktitle={2021 IEEE International Conference on Quantum Computing and Engineering (QCE)}, + pages={54--59}, + year={2021}, + organization={IEEE}, + doi={10.1109/QCE52317.2021.00021} +} + +@article{li2019measurement, + title={Measurement-driven entanglement transition in hybrid quantum circuits}, + author={Li, Yaodong and Chen, Xiao and Fisher, Matthew PA}, + journal={Physical Review B}, + volume={100}, + number={13}, + pages={134306}, + year={2019}, + publisher={APS}, + doi={10.1103/PhysRevB.100.134306} +} + +% Canonicalization Methods + +@article{garcia2012efficient, + title={Efficient inner-product algorithm for stabilizer states}, + author={Garcia, Hector J and Markov, Igor L and Cross, Andrew W}, + journal={arXiv preprint arXiv:1210.6646}, + year={2012}, + url={https://arxiv.org/abs/1210.6646} +} + +@article{audenaert2005entanglement, + title={Entanglement on mixed stabilizer states: normal forms and reduction procedures}, + author={Audenaert, Koenraad MR and Plenio, Martin B}, + journal={New Journal of Physics}, + volume={7}, + number={1}, + pages={170}, + year={2005}, + publisher={IOP Publishing}, + doi={10.1088/1367-2630/7/1/170} +} + +@phdthesis{gottesman1997stabilizer, + title={Stabilizer codes and quantum error correction}, + author={Gottesman, Daniel}, + year={1997}, + publisher={California Institute of Technology}, + school={California Institute of Technology}, + url={https://arxiv.org/abs/quant-ph/9705052} +} + +% Examples of results that employ the tableaux formalism + +@article{gullans2020quantum, + title={Quantum coding with low-depth random circuits}, + author={Gullans, Michael J and Krastanov, Stefan and Huse, David A and Jiang, Liang and Flammia, Steven T}, + journal={arXiv preprint arXiv:2010.09775}, + year={2020} +} + +@article{krastanov2020heterogeneous, + title={Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices}, + author={Krastanov, Stefan and de la Cerda, Alexander Sanchez and Narang, Prineha}, + journal={arXiv preprint arXiv:2011.11640}, + year={2020} +} + +@article{nahum2017quantum, + title = {Quantum Entanglement Growth under Random Unitary Dynamics}, + volume = {7}, + url = {https://link.aps.org/doi/10.1103/PhysRevX.7.031016}, + doi = {10.1103/PhysRevX.7.031016}, + pages = {031016}, + number = {3}, + journal = {Physical Review X}, + author = {Nahum, Adam and Ruhman, Jonathan and Vijay, Sagar and Haah, Jeongwan}, + year = {2017} +} + +@misc{hein2006entanglement, + title = {Entanglement in Graph States and its Applications}, + url = {http://arxiv.org/abs/quant-ph/0602096}, + journaltitle = {arXiv preprint arXiv:quant-ph/0602096}, + author = {Hein, M. and Dür, W. and Eisert, J. and Raussendorf, R. and Nest, M. Van den and Briegel, H.-J.}, + year = {2006}, +} + +@article{muralidharan2016optimal, + title={Optimal architectures for long distance quantum communication}, + author={Muralidharan, Sreraman and Li, Linshu and Kim, Jungsang and L{\"u}tkenhaus, Norbert and Lukin, Mikhail D and Jiang, Liang}, + journal={Scientific reports}, + volume={6}, + number={1}, + pages={1--10}, + year={2016}, + publisher={Nature Publishing Group} +} + +@article{choi2019percolation, + title={Percolation-based architecture for cluster state creation using photon-mediated entanglement between atomic memories}, + author={Choi, Hyeongrak and Pant, Mihir and Guha, Saikat and Englund, Dirk}, + journal={npj Quantum Information}, + volume={5}, + number={1}, + pages={1--7}, + year={2019}, + publisher={Nature Publishing Group} +} diff --git a/v0.4.0/search_index.js b/v0.4.0/search_index.js new file mode 100644 index 0000000..066ae25 --- /dev/null +++ b/v0.4.0/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"QHO/#Quantum-Harmonic-Oscillators","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"","category":"section"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"DocTestSetup = quote\n using QuantumSymbolics, QuantumOptics\nend","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"In this section, we describe symbolic representations of bosonic systems in QuantumSymbolics, which can be numerically translated to QuantumOptics.jl.","category":"page"},{"location":"QHO/#States","page":"Quantum Harmonic Oscillators","title":"States","text":"","category":"section"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"A Fock state is a state with well defined number of excitation quanta of a single quantum harmonic oscillator (an eigenstate of the number operator). In the following example, we create a FockState with 3 quanta in an infinite-dimension Fock space:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> f = FockState(3)\n|3⟩","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Both vacuum (ground) and single-photon states are defined as constants in both unicode and ASCII for convenience:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"vac = F₀ = F0 =0rangle in the number state representation,\nF₁ = F1 =1rangle in the number state representation.","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"To create quantum analogues of a classical harmonic oscillator, or monochromatic electromagnetic waves, we can define a coherent (a.k.a. semi-classical) state alpharangle, where alpha is a complex amplitude, with CoherentState(α::Number):","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> c = CoherentState(im)\n|im⟩","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"note: Naming convention for quantum harmonic oscillator bases\nThe defined basis for arbitrary symbolic bosonic states is a FockBasis object, due to a shared naming interface for Quantum physics packages. For instance, the command basis(CoherentState(im)) will output Fock(cutoff=Inf). This may lead to confusion, as not all bosonic states are Fock states. However, this is simply a naming convention for the basis, and symbolic and numerical results are not affected by it.","category":"page"},{"location":"QHO/#Operators","page":"Quantum Harmonic Oscillators","title":"Operators","text":"","category":"section"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Operations on bosonic states are supported, and can be simplified with qsimplify and its rewriter qsimplify_fock. For instance, we can apply the raising (creation) hata^dagger and lowering (annihilation or destroy) hata operators on a Fock state as follows:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> f = FockState(3);\n\njulia> raise = Create*f\na†|3⟩\n\njulia> qsimplify(raise, rewriter=qsimplify_fock)\n(sqrt(4))|4⟩\n\njulia> lower = Destroy*f\na|3⟩\n\njulia> qsimplify(lower, rewriter=qsimplify_fock)\n(sqrt(3))|2⟩","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Or, we can apply the number operator hatn to our Fock state:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> f = FockState(3);\n\njulia> num = N*f\nn|3⟩\n\njulia> qsimplify(num, rewriter=qsimplify_fock)\n3|3⟩","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Constants are defined for number and ladder operators in unicode and ASCII:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"N = n̂ =hatn,\nCreate = âꜛ =hata^dagger,\nDestroy = â =hata.","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Phase-shift U(theta) and displacement D(alpha) operators, defined respectively as U(theta) = expleft(-ithetahatnright) quad textand quad D(alpha) = expleft(alphahata^dagger - alphahataright) can be defined with usual simplification rules. Consider the following example:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> displace = DisplaceOp(im)\nD(im)\n\njulia> c = qsimplify(displace*vac, rewriter=qsimplify_fock)\n|im⟩\n\njulia> phase = PhaseShiftOp(pi)\nU(π)\n\njulia> qsimplify(phase*c, rewriter=qsimplify_fock)\n|1.2246467991473532e-16 - 1.0im⟩","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Here, we generated a coherent state irangle from the vacuum state 0rangle by applying the displacement operator defined by DisplaceOp. Then, we shifted its phase by pi with the phase shift operator (which is called with PhaseShiftOp) to get the result -irangle.","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Summarized below are supported bosonic operators.","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Number operator: NumberOp(),\nCreation operator: CreateOp(),\nAnnihilation operator: DestroyOp(),\nPhase-shift operator: PhaseShiftOp(phase::Number),\nDisplacement operator: DisplaceOp(alpha::Number).","category":"page"},{"location":"QHO/#Numerical-Conversions-to-QuantumOptics.jl","page":"Quantum Harmonic Oscillators","title":"Numerical Conversions to QuantumOptics.jl","text":"","category":"section"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"Bosonic systems can be translated to the ket representation with express. For instance:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> f = FockState(1);\n\njulia> express(f)\nKet(dim=3)\n basis: Fock(cutoff=2)\n 0.0 + 0.0im\n 1.0 + 0.0im\n 0.0 + 0.0im\n\njulia> express(Create) |> dense\nOperator(dim=3x3)\n basis: Fock(cutoff=2)\n 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 1.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 1.41421+0.0im 0.0+0.0im\n\njulia> express(Create*f)\nKet(dim=3)\n basis: Fock(cutoff=2)\n 0.0 + 0.0im\n 0.0 + 0.0im\n 1.4142135623730951 + 0.0im\n\njulia> express(Destroy*f)\nKet(dim=3)\n basis: Fock(cutoff=2)\n 1.0 + 0.0im\n 0.0 + 0.0im\n 0.0 + 0.0im","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"warning: Cutoff specifications for numerical representations of quantum harmonic oscillators\nSymbolic bosonic states and operators are naturally represented in an infinite dimension basis. For numerical conversions of such quantum objects, a finite cutoff of the highest allowed state must be defined. By default, the basis dimension of numerical conversions is set to 3 (so the number representation cutoff is 2), as demonstrated above. To define a different cutoff, one must customize the QuantumOpticsRepr instance, e.g. provide QuantumOpticsRepr(cutoff=n::Int) to express.","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"If we wish to specify a different numerical cutoff, say 4, to the previous examples, then we rewrite them as follows:","category":"page"},{"location":"QHO/","page":"Quantum Harmonic Oscillators","title":"Quantum Harmonic Oscillators","text":"julia> f = FockState(1);\n\njulia> express(f, QuantumOpticsRepr(cutoff=4))\nKet(dim=5)\n basis: Fock(cutoff=4)\n 0.0 + 0.0im\n 1.0 + 0.0im\n 0.0 + 0.0im\n 0.0 + 0.0im\n 0.0 + 0.0im\n\njulia> express(Create, QuantumOpticsRepr(4)) |> dense\nOperator(dim=5x5)\n basis: Fock(cutoff=4)\n 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 1.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 1.41421+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 1.73205+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 0.0+0.0im 2.0+0.0im 0.0+0.0im","category":"page"},{"location":"introduction/#Getting-Started-with-QuantumSymbolics.jl","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"DocTestSetup = quote\n using QuantumSymbolics\nend","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"QuantumSymbolics is designed for manipulation and numerical translation of symbolic quantum objects. This tutorial introduces basic features of the package.","category":"page"},{"location":"introduction/#Installation","page":"Getting Started with QuantumSymbolics.jl","title":"Installation","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"QuantumSymbolics.jl can be installed through the Julia package system in the standard way:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"using Pkg\nPkg.add(\"QuantumSymbolics\")","category":"page"},{"location":"introduction/#Literal-Symbolic-Quantum-Objects","page":"Getting Started with QuantumSymbolics.jl","title":"Literal Symbolic Quantum Objects","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Basic objects of type SBra, SKet, SOperator, and SSuperOperator represent symbolic quantum objects with name and basis properties. Each type can be generated with a straightforward macro:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> using QuantumSymbolics\n\njulia> @bra b # object of type SBra\n⟨b|\n\njulia> @ket k # object of type SKet\n|k⟩\n\njulia> @op A # object of type SOperator\nA\n\njulia> @superop S # object of type SSuperOperator\nS","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"By default, each of the above macros defines a symbolic quantum object in the spin-1/2 basis. One can simply choose a different basis, such as the Fock basis or a tensor product of several bases, by passing an object of type Basis to the second argument in the macro call:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @op B FockBasis(Inf, 0.0)\nB\n\njulia> basis(B)\nFock(cutoff=Inf)\n\njulia> @op C SpinBasis(1//2)⊗SpinBasis(5//2)\nC\n\njulia> basis(C)\n[Spin(1/2) ⊗ Spin(5/2)]","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Here, we extracted the basis of the defined symbolic operators using the basis function.","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Symbolic quantum objects with additional properties can be defined, such as a Hermitian operator, or the zero ket (i.e., a symbolic ket equivalent to the zero vector bm0).","category":"page"},{"location":"introduction/#Basic-Operations","page":"Getting Started with QuantumSymbolics.jl","title":"Basic Operations","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Expressions containing symbolic quantum objects can be built with a variety of functions. Let us consider the most fundamental operations: multiplication *, addition +, and the tensor product ⊗. ","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"We can multiply, for example, a ket by a scalar value, or apply an operator to a ket:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @ket k; @op A;\n\njulia> 2*k\n2|k⟩\n\njulia> A*k\nA|k⟩","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Similar scaling procedures can be performed on bras and operators. Addition between symbolic objects is also available, for instance:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @op A₁; @op A₂;\n\njulia> A₁+A₂\n(A₁+A₂)\n\njulia> @bra b;\n\njulia> 2*b + 5*b\n7⟨b|","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Built into the package are straightforward automatic simplification rules, as shown in the last example, where 2⟨b|+5⟨b| evaluates to 7⟨b|. ","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Tensor products of symbolic objects can be performed, with basis information transferred:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @ket k₁; @ket k₂;\n\njulia> tp = k₁⊗k₂\n|k₁⟩|k₂⟩\n\njulia> basis(tp)\n[Spin(1/2) ⊗ Spin(1/2)]","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Inner and outer products of bras and kets can be generated:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @bra b; @ket k;\n\njulia> b*k\n⟨b||k⟩\n\njulia> k*b\n|k⟩⟨b|","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"More involved combinations of operations can be explored. Here are few other straightforward examples:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @bra b; @ket k; @op A; @op B;\n\njulia> 3*A*B*k\n3AB|k⟩\n\njulia> A⊗(k*b + B)\n(A⊗(B+|k⟩⟨b|))\n\njulia> A-A\n𝟎","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"In the last example, a zero operator, denoted 𝟎, was returned by subtracting a symbolic operator from itself. Such an object is of the type SZeroOperator, and similar objects SZeroBra and SZeroKet correspond to zero bras and zero kets, respectively.","category":"page"},{"location":"introduction/#Linear-Algebra-on-Bras,-Kets,-and-Operators","page":"Getting Started with QuantumSymbolics.jl","title":"Linear Algebra on Bras, Kets, and Operators","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"QuantumSymbolics supports a wide variety of linear algebra on symbolic bras, kets, and operators. For instance, the commutator and anticommutator of two operators, can be generated:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @op A; @op B;\n\njulia> commutator(A, B)\n[A,B]\n\njulia> anticommutator(A, B)\n{A,B}\n\njulia> commutator(A, A)\n𝟎","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Or, one can take the dagger of a quantum object with the dagger function:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @ket k; @op A; @op B;\n\njulia> dagger(A)\nA†\n\njulia> dagger(A*k)\n|k⟩†A†\n\njulia> dagger(A*B)\nB†A†","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Below, we state all of the supported linear algebra operations on quantum objects:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"commutator of two operators: commutator,\nanticommutator of two operators: anticommutator,\ncomplex conjugate: conj,\ntranspose: transpose,\nprojection of a ket: projector,\nadjoint or dagger: dagger,\ntrace: tr,\npartial trace: ptrace,\ninverse of an operator: inv,\nexponential of an operator: exp,\nvectorization of an operator: vec.","category":"page"},{"location":"introduction/#Simplifying-Expressions","page":"Getting Started with QuantumSymbolics.jl","title":"Simplifying Expressions","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"For predefined objects such as the Pauli operators X, Y, and Z, additional simplification can be performed with the qsimplify function. Take the following example:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> qsimplify(X*Z)\n(0 - 1im)Y","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Here, we have the relation XZ = -iY, so calling qsimplify on the expression X*Z will rewrite the expression as -im*Y.","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Note that simplification rewriters used in QuantumSymbolics are built from the interface of SymbolicUtils.jl. By default, when called on an expression, qsimplify will iterate through every defined simplification rule in the QuantumSymbolics package until the expression can no longer be simplified. ","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Now, suppose we only want to use a specific subset of rules. For instance, say we wish to simplify commutators, but not anticommutators. Then, we can pass the keyword argument rewriter=qsimplify_commutator to qsimplify, as done in the following example:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> qsimplify(commutator(X, Y), rewriter=qsimplify_commutator)\n(0 + 2im)Z\n\njulia> qsimplify(anticommutator(X, Y), rewriter=qsimplify_commutator)\n{X,Y}","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"As shown above, we apply qsimplify to two expressions: commutator(X, Y) and anticommutator(X, Y). We specify that only commutator rules will be applied, thus the first expression is rewritten to (0 + 2im)Z while the second expression is simply returned. This feature can greatly reduce the time it takes for an expression to be simplified.","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Below, we state all of the simplification rule subsets that can be passed to qsimplify:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"qsimplify_pauli for Pauli multiplication,\nqsimplify_commutator for commutators of Pauli operators,\nqsimplify_anticommutator for anticommutators of Pauli operators.","category":"page"},{"location":"introduction/#Expanding-Expressions","page":"Getting Started with QuantumSymbolics.jl","title":"Expanding Expressions","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Symbolic expressions containing quantum objects can be expanded with the qexpand function. We demonstrate this capability with the following examples.","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> @op A; @op B; @op C;\n\njulia> qexpand(A⊗(B+C))\n((A⊗B)+(A⊗C))\n\njulia> qexpand((B+C)*A)\n(BA+CA)\n\njulia> @ket k₁; @ket k₂; @ket k₃;\n\njulia> qexpand(k₁⊗(k₂+k₃))\n(|k₁⟩|k₂⟩+|k₁⟩|k₃⟩)\n\njulia> qexpand((A*B)*(k₁+k₂))\n(AB|k₁⟩+AB|k₂⟩)","category":"page"},{"location":"introduction/#Numerical-Translation-of-Symbolic-Objects","page":"Getting Started with QuantumSymbolics.jl","title":"Numerical Translation of Symbolic Objects","text":"","category":"section"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"Symbolic expressions containing predefined objects can be converted to numerical representations with express. Numerics packages supported by this translation capability are QuantumOptics.jl and QuantumClifford.jl.","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"By default, express converts an object to the quantum optics state vector representation. For instance, we can represent the exponential of the Pauli operator X numerically as follows:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> using QuantumOptics\n\njulia> express(exp(X))\nOperator(dim=2x2)\n basis: Spin(1/2)sparse([1, 2, 1, 2], [1, 1, 2, 2], ComplexF64[1.5430806327160496 + 0.0im, 1.1752011684303352 + 0.0im, 1.1752011684303352 + 0.0im, 1.5430806327160496 + 0.0im], 2, 2)","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"To convert to the Clifford representation, an instance of CliffordRepr must be passed to express. For instance, we can represent the projection of the basis state X1 of the Pauli operator X as follows:","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"julia> using QuantumClifford\n\njulia> express(projector(X1), CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n+ X","category":"page"},{"location":"introduction/","page":"Getting Started with QuantumSymbolics.jl","title":"Getting Started with QuantumSymbolics.jl","text":"For more details on using express, refer to the express functionality page.","category":"page"},{"location":"express/#Express-functionality","page":"Express Functionality","title":"Express functionality","text":"","category":"section"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"DocTestSetup = quote\n using QuantumSymbolics, QuantumOptics, QuantumClifford\nend","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"A principle feature of QuantumSymbolics is to numerically represent symbolic quantum expressions in various formalisms using express. In particular, one can translate symbolic logic to back-end toolboxes such as QuantumOptics.jl or QuantumClifford.jl for simulating quantum systems with great flexibiity.","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"As a straightforward example, consider the spin-up state uparrowrangle = 0rangle, the eigenstate of the Pauli operator Z, which can be expressed in QuantumSymbolics as follows:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"using QuantumSymbolics, QuantumClifford, QuantumOptics # hide\nψ = Z1","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"Using express, we can translate this symbolic object into its numerical state vector form in QuantumOptics.jl.","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"express(ψ)","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"By default, express converts a quantum object with QuantumOpticRepr. It should be noted that express automatically caches this particular conversion of ψ. Thus, after running the above example, the numerical representation of the spin-up state is stored in the metadata of ψ.","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"ψ.metadata","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"The caching feature of express prevents a specific representation for a symbolic quantum object from being computed more than once. This becomes handy for translations of more complex operations, which can become computationally expensive. We also have the ability to express Z_1rangle in the Clifford formalism with QuantumClifford.jl:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"express(ψ, CliffordRepr())","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"Here, we specified an instance of CliffordRepr in the second argument to convert ψ into a tableau of Pauli operators containing its stabilizer and destabilizer states. Now, both the state vector and Clifford representation of ψ have been cached:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"ψ.metadata","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"More involved examples can be explored. For instance, say we want to apply the tensor product Xotimes Y of the Pauli operators X and Y to the Bell state Phi^+rangle = dfrac1sqrt2left(00rangle + 11rangleright), and numerically express the result in the quantum optics formalism. This would be done as follows:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"using QuantumSymbolics, QuantumClifford, QuantumOptics # hide\nbellstate = (Z1⊗Z1+Z2⊗Z2)/√2\ntp = σˣ⊗σʸ\nexpress(tp*bellstate)","category":"page"},{"location":"express/#Examples-of-Edge-Cases","page":"Express Functionality","title":"Examples of Edge Cases","text":"","category":"section"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"For Pauli operators, additional flexibility is given for translations to the Clifford formalism. Users have the option to convert a multi-qubit Pauli operator to an observable or operation with instances of UseAsObservable and UseAsOperation, respectively. Take the Pauli operator Y, for example, which in QuantumSymbolics is the constants Y or σʸ:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"julia> express(σʸ, CliffordRepr(), UseAsObservable())\n+ Y\n\njulia> express(σʸ, CliffordRepr(), UseAsOperation())\nsY","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"Another edge case is translations with QuantumOpticsRepr, where we can additionally define a finite cutoff for bosonic states and operators, as discussed in the quantum harmonic oscillators page. The default cutoff for such objects is 2, however a different cutoff can be specified by passing an integer to QuantumOpticsRepr in an express call. Let us see an example with the number operator:","category":"page"},{"location":"express/","page":"Express Functionality","title":"Express Functionality","text":"julia> express(N) |> dense\nOperator(dim=3x3)\n basis: Fock(cutoff=2)\n 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 1.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 2.0+0.0im\n\njulia> express(N, QuantumOpticsRepr(cutoff=4)) |> dense\nOperator(dim=5x5)\n basis: Fock(cutoff=4)\n 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 1.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 2.0+0.0im 0.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 0.0+0.0im 3.0+0.0im 0.0+0.0im\n 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 4.0+0.0im","category":"page"},{"location":"qubit_basis/#Typical-Qubit-Bases","page":"Qubit Basis Choice","title":"Typical Qubit Bases","text":"","category":"section"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"DocTestSetup = quote\n using QuantumSymbolics, QuantumOptics\nend","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"Here are some common conventions for representing a qubit in a physical system. This reference is provided as the conventions matter to the correct choice of noise processes and bases in which they are represented.","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"In monospaced code format we give the symbols by which these objects are callable in QuantumSymbolics. We provide unicode and ASCII names for convenience of typing.","category":"page"},{"location":"qubit_basis/#Spin-\\frac{1}{2}-qubits","page":"Qubit Basis Choice","title":"Spin frac12 qubits","text":"","category":"section"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"First we introduce the Pauli matrices:","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"julia> express(σᶻ) |> dense # or `Z`\nOperator(dim=2x2)\n basis: Spin(1/2)\n 1.0+0.0im 0.0+0.0im\n 0.0+0.0im -1.0+0.0im\n\njulia> express(σˣ) |> dense # or `X`\nOperator(dim=2x2)\n basis: Spin(1/2)\n 0.0+0.0im 1.0+0.0im\n 1.0+0.0im 0.0+0.0im\n\njulia> express(σʸ) |> dense # or `Y`\nOperator(dim=2x2)\n basis: Spin(1/2)\n 0.0+0.0im -0.0-1.0im\n 0.0+1.0im 0.0+0.0im","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"Above dense is from QuantumOptics, used to convert their representation to a dense matrix.","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"The eigenvectors of each one of them provides for a convenient basis. The σᶻ basis is also called the computational basis. As mentioned, we have both unicode and ASCII names for convenience of typing. For these basis vectors we also have two sets of names: one based on which operator they are eigenvectors of and one in terms of typical logical representation (with prefix L).","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"Z1 = Z₁ = L0 = L₀ = 0rangle = beginpmatrix10endpmatrix = uparrowrangle with eigenvalue +1 for σᶻ\nZ2 = Z₂ = L1 = L₁ = 1rangle = beginpmatrix01endpmatrix = downarrowrangle with eigenvalue +1 for σᶻ\nX1 = X₁ = Lp = L₊ = +rangle = frac1sqrt 2beginpmatrix11endpmatrix with eigenvalue +1 for σˣ\nX2 = X₂ = Lm = L₋ = -rangle = frac1sqrt 2beginpmatrix1-1endpmatrix with eigenvalue -1 for σˣ\nY1 = Y₁ = Lpi = L₊ᵢ = +irangle = frac1sqrt 2beginpmatrix1 iendpmatrix with eigenvalue +1 for σʸ\nY2 = Y₂ = Lmi = L₋ᵢ = -irangle = frac1sqrt 2beginpmatrix1-iendpmatrix with eigenvalue -1 for σʸ","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"The Y vectors occasionally are denoted with R and L (stemming from the vector notation for right and left polarized light), but there is no established notation choice or ordering.","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"warning: Talking about ground/excited and spin-up/spin-down states can lead to confusion\nWe specifically avoid using notation with \"ground\" and \"excited\" states. For physicist usually the excited state is the \"up\" states (erangle=uparrowrangle), but that historical choice clashes with the logical state notation as we have the logical zero be the \"excited\" state. This clash becomes particularly confusing when noise processes and relaxation process are taken into account. E.g. one might think the operator usually denoted hatsigma_- would be the one corresponding to decay but we actually have hatsigma_-0rangle=1rangle. To avoid this confusion we strive to not use the notation uparrowrangle, downarrowrangle, erangle, and grangle. Similarly we strongly prefer to never use hatsigma_- and hatsigma_+, rather only use 1rangle langle0 and its conjugate. If we were instead talking about single-rail photonic qubits, we do not have the same issue (because the diagonal of the number operator is growing, instead of decreasing like the diagonal of the Pauli Z).","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"The basis states can be easily expressed both as kets and as tableaux (In the tableau representation below the top half corresponds to the destabilizer, while the bottom is the stabilizer):","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"julia> express(L0, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ X\n𝒮𝓉𝒶𝒷\n+ Z\n\n\njulia> express(L1, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ X\n𝒮𝓉𝒶𝒷\n- Z\n\n\njulia> express(L₀, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ X\n𝒮𝓉𝒶𝒷\n+ Z\n\n\njulia> express(L₁, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ X\n𝒮𝓉𝒶𝒷\n- Z\n\n\njulia> express(L₊, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n+ X\n\n\njulia> express(L₋, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n- X\n\n\njulia> express(L₊ᵢ, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n+ Y\n\n\njulia> express(L₋ᵢ, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n- Y","category":"page"},{"location":"qubit_basis/","page":"Qubit Basis Choice","title":"Qubit Basis Choice","text":"julia> express(L₀)\nKet(dim=2)\n basis: Spin(1/2)\n 1.0 + 0.0im\n 0.0 + 0.0im\n\njulia> express(L₁)\nKet(dim=2)\n basis: Spin(1/2)\n 0.0 + 0.0im\n 1.0 + 0.0im\n\njulia> express(L₊)\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n 0.7071067811865475 + 0.0im\n\njulia> express(L₋)\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n -0.7071067811865475 + 0.0im\n\njulia> express(L₊ᵢ)\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n 0.0 + 0.7071067811865475im\n\njulia> express(L₋ᵢ)\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n 0.0 - 0.7071067811865475im","category":"page"},{"location":"bibliography/#Bibliography","page":"Bibliography","title":"Bibliography","text":"","category":"section"},{"location":"bibliography/","page":"Bibliography","title":"Bibliography","text":"","category":"page"},{"location":"#QuantumSymbolics.jl","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"section"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"DocTestSetup = quote\n using QuantumSymbolics\nend","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"A symbolics package for quantum information science. It serves two purposes:","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"It provides for algebraic manipulation of mathematical expressions related to your quantum models. Particularly helpful when having to automatically generate or simplify expressions of significant complexity.\nAn assortment of \"expression translators\" are provided that can turn a symbolic expression into a numerical one in a variety of formalisms.","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Below we list some commonly used expressions, followed by an autogenerated API list.","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"using QuantumSymbolics","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n\n\n\n\n","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"\n
Symbolic ExampleConversion Example
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Qubit Basis States X1, X2, Y1, Y2, Z1, Z2","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Z1","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(Z1)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(Y2, CliffordRepr())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Common gates: CNOT, H, etc","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"CNOT","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(H)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(CNOT, CliffordRepr(), UseAsOperation())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Tensor products ⊗ and sums +","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"(X1⊗Z2 + Y1⊗Y2 ) / √3","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(X1⊗Z1)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(X1⊗Y2, CliffordRepr())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Projectors, pure density matrices","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"SProjector(X1⊗Z2)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(SProjector(X1⊗Z1))","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(SProjector(X1⊗Z1), CliffordRepr())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Completely depolarized (mixed) state","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"MixedState(X1)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(MixedState(X1))","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(MixedState(X1), CliffordRepr())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"Impure states, represented as sum of density matrices","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"(MixedState(X1)+SProjector(Z1)) / 2","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express((MixedState(X1)+SProjector(Z1)) / 2)","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"When a Clifford representation is used, an efficient sampler is generated, and stabilizer states are randomly sampled from the correct distribution:","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"express(MixedState(X1)/2+SProjector(Z1)/2, CliffordRepr())","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"
","category":"page"},{"location":"","page":"QuantumSymbolics.jl","title":"QuantumSymbolics.jl","text":"warning: Stabilizer state expressions\nThe state written as fracZ₁Z₁+Z₂Z₂2 is a well known stabilizer state, namely a Bell state. However, automatically expressing it as a stabilizer is a prohibitively expensive computational operation in general. We do not perform that computation automatically. If you want to ensure that states you define can be automatically converted to tableaux for Clifford simulations, avoid using summation of kets. On the other hand, in all of our Clifford Monte-Carlo simulations, ⊗ is fully supported, as well as projector, MixedState, StabilizerState, and summation of density matrices.","category":"page"},{"location":"API/#Full-API","page":"API","title":"Full API","text":"","category":"section"},{"location":"API/","page":"API","title":"API","text":"","category":"page"},{"location":"API/#Autogenerated-API-list","page":"API","title":"Autogenerated API list","text":"","category":"section"},{"location":"API/","page":"API","title":"API","text":"Modules = [QuantumSymbolics]\nPrivate = false","category":"page"},{"location":"API/#QuantumSymbolics.CNOT","page":"API","title":"QuantumSymbolics.CNOT","text":"CNOT gate\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.CPHASE","page":"API","title":"QuantumSymbolics.CPHASE","text":"CPHASE gate\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Create","page":"API","title":"QuantumSymbolics.Create","text":"Creation operator, also available as the constant âꜛ, in an infinite dimension Fock basis. There is no unicode dagger superscript, so we use the uparrow\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Destroy","page":"API","title":"QuantumSymbolics.Destroy","text":"Annihilation operator, also available as the constant â, in an infinite dimension Fock basis.\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.F₁","page":"API","title":"QuantumSymbolics.F₁","text":"Single photon basis state of n\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.H","page":"API","title":"QuantumSymbolics.H","text":"Hadamard gate\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.I","page":"API","title":"QuantumSymbolics.I","text":"Identity operator in qubit basis\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.N","page":"API","title":"QuantumSymbolics.N","text":"Number operator, also available as the constant n̂, in an infinite dimension Fock basis.\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Pm","page":"API","title":"QuantumSymbolics.Pm","text":"Pauli \"minus\" operator, also available as the constant σ₋\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Pp","page":"API","title":"QuantumSymbolics.Pp","text":"Pauli \"plus\" operator, also available as the constant σ₊\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.X","page":"API","title":"QuantumSymbolics.X","text":"Pauli X operator, also available as the constant σˣ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.X1","page":"API","title":"QuantumSymbolics.X1","text":"Basis state of σˣ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.X2","page":"API","title":"QuantumSymbolics.X2","text":"Basis state of σˣ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Y","page":"API","title":"QuantumSymbolics.Y","text":"Pauli Y operator, also available as the constant σʸ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Y1","page":"API","title":"QuantumSymbolics.Y1","text":"Basis state of σʸ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Y2","page":"API","title":"QuantumSymbolics.Y2","text":"Basis state of σʸ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Z","page":"API","title":"QuantumSymbolics.Z","text":"Pauli Z operator, also available as the constant σᶻ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Z1","page":"API","title":"QuantumSymbolics.Z1","text":"Basis state of σᶻ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.Z2","page":"API","title":"QuantumSymbolics.Z2","text":"Basis state of σᶻ\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.vac","page":"API","title":"QuantumSymbolics.vac","text":"Vacuum basis state of n\n\n\n\n\n\n","category":"constant"},{"location":"API/#QuantumSymbolics.AbstractRepresentation","page":"API","title":"QuantumSymbolics.AbstractRepresentation","text":"An abstract type for the supported representation of quantum objects.\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.CliffordRepr","page":"API","title":"QuantumSymbolics.CliffordRepr","text":"Representation using tableaux governed by QuantumClifford.jl\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.CoherentState","page":"API","title":"QuantumSymbolics.CoherentState","text":"Coherent state in defined Fock basis.\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.CreateOp","page":"API","title":"QuantumSymbolics.CreateOp","text":"Creation (raising) operator.\n\njulia> f = FockState(2)\n|2⟩\n\njulia> create = CreateOp()\na†\n\njulia> qsimplify(create*f, rewriter=qsimplify_fock)\n(sqrt(3))|3⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.DephasingCPTP","page":"API","title":"QuantumSymbolics.DephasingCPTP","text":"Single-qubit dephasing CPTP map\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.DestroyOp","page":"API","title":"QuantumSymbolics.DestroyOp","text":"Annihilation (lowering or destroy) operator in defined Fock basis.\n\njulia> f = FockState(2)\n|2⟩\n\njulia> destroy = DestroyOp()\na\n\njulia> qsimplify(destroy*f, rewriter=qsimplify_fock)\n(sqrt(2))|1⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.DisplaceOp","page":"API","title":"QuantumSymbolics.DisplaceOp","text":"Displacement operator in defined Fock basis.\n\njulia> f = FockState(0)\n|0⟩\n\njulia> displace = DisplaceOp(im)\nD(im)\n\njulia> qsimplify(displace*f, rewriter=qsimplify_fock)\n|im⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.FockState","page":"API","title":"QuantumSymbolics.FockState","text":"Fock state in defined Fock basis.\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.GateCPTP","page":"API","title":"QuantumSymbolics.GateCPTP","text":"A unitary gate followed by a CPTP map\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.IdentityOp","page":"API","title":"QuantumSymbolics.IdentityOp","text":"The identity operator for a given basis\n\njulia> IdentityOp(X1⊗X2)\n𝕀\n\njulia> express(IdentityOp(Z2))\nOperator(dim=2x2)\n basis: Spin(1/2)sparse([1, 2], [1, 2], ComplexF64[1.0 + 0.0im, 1.0 + 0.0im], 2, 2)\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.KrausRepr","page":"API","title":"QuantumSymbolics.KrausRepr","text":"Kraus representation of a quantum channel\n\njulia> @op A₁; @op A₂; @op A₃;\n\njulia> K = kraus(A₁, A₂, A₃)\n𝒦(A₁,A₂,A₃)\n\njulia> @op ρ;\n\njulia> K*ρ\n(A₁ρA₁†+A₂ρA₂†+A₃ρA₃†)\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.MixedState","page":"API","title":"QuantumSymbolics.MixedState","text":"Completely depolarized state\n\njulia> MixedState(X1⊗X2)\n𝕄\n\njulia> express(MixedState(X1⊗X2))\nOperator(dim=4x4)\n basis: [Spin(1/2) ⊗ Spin(1/2)]sparse([1, 2, 3, 4], [1, 2, 3, 4], ComplexF64[0.25 + 0.0im, 0.25 + 0.0im, 0.25 + 0.0im, 0.25 + 0.0im], 4, 4)\n\njulia> express(MixedState(X1⊗X2), CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n\n𝒳ₗ━━\n+ X_\n+ _X\n𝒮𝓉𝒶𝒷\n\n𝒵ₗ━━\n+ Z_\n+ _Z\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.NumberOp","page":"API","title":"QuantumSymbolics.NumberOp","text":"Number operator.\n\njulia> f = FockState(2)\n|2⟩\n\njulia> num = NumberOp()\nn\n\njulia> qsimplify(num*f, rewriter=qsimplify_fock)\n2|2⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.PauliNoiseCPTP","page":"API","title":"QuantumSymbolics.PauliNoiseCPTP","text":"Single-qubit Pauli noise CPTP map\n\njulia> apply!(express(Z1), [1], express(PauliNoiseCPTP(1/4,1/4,1/4)))\nOperator(dim=2x2)\n basis: Spin(1/2)\n 0.5+0.0im 0.0+0.0im\n 0.0+0.0im 0.5+0.0im\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.PhaseShiftOp","page":"API","title":"QuantumSymbolics.PhaseShiftOp","text":"Phase-shift operator in defined Fock basis.\n\njulia> c = CoherentState(im)\n|im⟩\n\njulia> phase = PhaseShiftOp(pi)\nU(π)\n\njulia> qsimplify(phase*c, rewriter=qsimplify_fock)\n|1.2246467991473532e-16 - 1.0im⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.QuantumMCRepr","page":"API","title":"QuantumSymbolics.QuantumMCRepr","text":"Similar to QuantumOpticsRepr, but using trajectories instead of superoperators.\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.QuantumOpticsRepr","page":"API","title":"QuantumSymbolics.QuantumOpticsRepr","text":"Representation using kets, bras, density matrices, and superoperators governed by QuantumOptics.jl.\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SAdd","page":"API","title":"QuantumSymbolics.SAdd","text":"Addition of quantum objects (kets, operators, or bras).\n\njulia> @ket k₁; @ket k₂;\n\njulia> k₁ + k₂\n(|k₁⟩+|k₂⟩)\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SApplyBra","page":"API","title":"QuantumSymbolics.SApplyBra","text":"Symbolic application of an operator on a bra (from the right).\n\njulia> @bra b; @op A;\n\njulia> b*A\n⟨b|A\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SApplyKet","page":"API","title":"QuantumSymbolics.SApplyKet","text":"Symbolic application of an operator on a ket (from the left).\n\njulia> @ket k; @op A;\n\njulia> A*k\nA|k⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SBra","page":"API","title":"QuantumSymbolics.SBra","text":"Symbolic bra\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SBraKet","page":"API","title":"QuantumSymbolics.SBraKet","text":"Symbolic inner product of a bra and a ket.\n\njulia> @bra b; @ket k;\n\njulia> b*k\n⟨b||k⟩\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SHermitianOperator","page":"API","title":"QuantumSymbolics.SHermitianOperator","text":"Symbolic Hermitian operator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SHermitianUnitaryOperator","page":"API","title":"QuantumSymbolics.SHermitianUnitaryOperator","text":"Symbolic Hermitian and unitary operator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SKet","page":"API","title":"QuantumSymbolics.SKet","text":"Symbolic ket\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SMulOperator","page":"API","title":"QuantumSymbolics.SMulOperator","text":"Symbolic application of operator on operator.\n\njulia> @op A; @op B;\n\njulia> A*B \nAB\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SOperator","page":"API","title":"QuantumSymbolics.SOperator","text":"Symbolic operator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SOuterKetBra","page":"API","title":"QuantumSymbolics.SOuterKetBra","text":"Symbolic outer product of a ket and a bra.\n\njulia> @bra b; @ket k;\n\njulia> k*b \n|k⟩⟨b|\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SScaled","page":"API","title":"QuantumSymbolics.SScaled","text":"Scaling of a quantum object (ket, operator, or bra) by a number.\n\njulia> @ket k\n|k⟩\n\njulia> 2*k\n2|k⟩\n\njulia> @op A\nA \n\njulia> 2*A\n2A\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SSuperOpApply","page":"API","title":"QuantumSymbolics.SSuperOpApply","text":"Symbolic application of a superoperator on an operator\n\njulia> @op A; @superop S;\n\njulia> S*A\nS[A]\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SSuperOperator","page":"API","title":"QuantumSymbolics.SSuperOperator","text":"Symbolic superoperator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SUnitaryOperator","page":"API","title":"QuantumSymbolics.SUnitaryOperator","text":"Symbolic unitary operator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SZeroBra","page":"API","title":"QuantumSymbolics.SZeroBra","text":"Symbolic zero bra\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SZeroKet","page":"API","title":"QuantumSymbolics.SZeroKet","text":"Symbolic zero ket\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.SZeroOperator","page":"API","title":"QuantumSymbolics.SZeroOperator","text":"Symbolic zero operator\n\n\n\n\n\n","category":"type"},{"location":"API/#QuantumSymbolics.StabilizerState","page":"API","title":"QuantumSymbolics.StabilizerState","text":"State defined by a stabilizer tableau\n\nFor full functionality you also need to import the QuantumClifford library.\n\njulia> using QuantumClifford, QuantumOptics # needed for the internal representation of the stabilizer tableaux and the conversion to a ket\n\njulia> StabilizerState(S\"XX ZZ\")\n𝒮₂\n\njulia> express(StabilizerState(S\"-X\"))\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n -0.7071067811865475 + 0.0im\n\n\n\n\n\n","category":"type"},{"location":"API/#Base.conj-Union{Tuple{SymbolicUtils.Symbolic{T}}, Tuple{T}} where T<:Union{QuantumInterface.AbstractBra, QuantumInterface.AbstractKet, QuantumInterface.AbstractOperator, QuantumInterface.AbstractSuperOperator}","page":"API","title":"Base.conj","text":"Complex conjugate of quantum objects (kets, bras, operators).\n\njulia> @op A; @ket k;\n\njulia> conj(A)\nAˣ\n\njulia> conj(k)\n|k⟩ˣ\n\n\n\n\n\n","category":"method"},{"location":"API/#Base.exp-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"Base.exp","text":"Exponential of a symbolic operator.\n\njulia> @op A; @op B;\n\njulia> exp(A)\nexp(A)\n\n\n\n\n\n","category":"method"},{"location":"API/#Base.inv-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"Base.inv","text":"Inverse of an operator.\n\njulia> @op A;\n\njulia> inv(A)\nA⁻¹\n\njulia> inv(A)*A\n𝕀\n\n\n\n\n\n","category":"method"},{"location":"API/#Base.transpose-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"Base.transpose","text":"Transpose of quantum objects (kets, bras, operators).\n\njulia> @op A; @op B; @ket k;\n\njulia> transpose(A)\nAᵀ\n\njulia> transpose(A+B)\n(Aᵀ+Bᵀ)\n\njulia> transpose(k)\n|k⟩ᵀ\n\n\n\n\n\n","category":"method"},{"location":"API/#Base.vec-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"Base.vec","text":"Vectorization of a symbolic operator.\n\njulia> @op A; @op B;\n\njulia> vec(A)\n|A⟩⟩\n\njulia> vec(A+B)\n(|A⟩⟩+|B⟩⟩)\n\n\n\n\n\n","category":"method"},{"location":"API/#LinearAlgebra.tr-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"LinearAlgebra.tr","text":"Trace of an operator\n\njulia> @op A; @op B;\n\njulia> tr(A)\ntr(A)\n\njulia> tr(commutator(A, B))\n0\n\njulia> @bra b; @ket k;\n\njulia> tr(k*b)\n⟨b||k⟩\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumInterface.dagger-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractBra}}","page":"API","title":"QuantumInterface.dagger","text":"Dagger, i.e., adjoint of quantum objects (kets, bras, operators).\n\njulia> @ket a; @op A;\n\njulia> dagger(2*im*A*a)\n(0 - 2im)|a⟩†A†\n\njulia> @op B;\n\njulia> dagger(A*B)\nB†A†\n\njulia> ℋ = SHermitianOperator(:ℋ); U = SUnitaryOperator(:U);\n\njulia> dagger(ℋ)\nℋ\n\njulia> dagger(U)\nU⁻¹\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumInterface.projector-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractKet}}","page":"API","title":"QuantumInterface.projector","text":"Projector for a given ket.\n\njulia> projector(X1⊗X2)\n𝐏[|X₁⟩|X₂⟩]\n\njulia> express(projector(X2))\nOperator(dim=2x2)\n basis: Spin(1/2)\n 0.5+0.0im -0.5-0.0im\n -0.5+0.0im 0.5+0.0im\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumInterface.ptrace-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}, Any}","page":"API","title":"QuantumInterface.ptrace","text":"Partial trace over system i of a composite quantum system\n\njulia> @op 𝒪 SpinBasis(1//2)⊗SpinBasis(1//2);\n\njulia> op = ptrace(𝒪, 1)\ntr1(𝒪)\n\njulia> QuantumSymbolics.basis(op)\nSpin(1/2)\n\njulia> @op A; @op B;\n\njulia> ptrace(A⊗B, 1)\n(tr(A))B\n\njulia> @ket k; @bra b;\n\njulia> factorizable = A ⊗ (k*b)\n(A⊗|k⟩⟨b|)\n\njulia> ptrace(factorizable, 1)\n(tr(A))|k⟩⟨b|\n\njulia> ptrace(factorizable, 2)\n(⟨b||k⟩)A\n\njulia> mixed_state = (A⊗(k*b)) + ((k*b)⊗B)\n((A⊗|k⟩⟨b|)+(|k⟩⟨b|⊗B))\n\njulia> ptrace(mixed_state, 1)\n((0 + ⟨b||k⟩)B+(tr(A))|k⟩⟨b|)\n\njulia> ptrace(mixed_state, 2)\n((0 + ⟨b||k⟩)A+(tr(B))|k⟩⟨b|)\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.anticommutator-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}, SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"QuantumSymbolics.anticommutator","text":"Symbolic anticommutator of two operators.\n\njulia> @op A; @op B;\n\njulia> anticommutator(A, B)\n{A,B}\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.commutator-Tuple{SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}, SymbolicUtils.Symbolic{QuantumInterface.AbstractOperator}}","page":"API","title":"QuantumSymbolics.commutator","text":"Symbolic commutator of two operators. \n\njulia> @op A; @op B;\n\njulia> commutator(A, B)\n[A,B]\n\njulia> commutator(A, A)\n𝟎\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.consistent_representation-Tuple{Any, Any}","page":"API","title":"QuantumSymbolics.consistent_representation","text":"Pick a representation that is consistent with given representations and appropriate for the given state.\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.express","page":"API","title":"QuantumSymbolics.express","text":"express(s, repr::AbstractRepresentation=QuantumOpticsRepr()[, use::AbstractUse])\n\nThe main interface for expressing quantum objects in various representations.\n\njulia> express(X1)\nKet(dim=2)\n basis: Spin(1/2)\n 0.7071067811865475 + 0.0im\n 0.7071067811865475 + 0.0im\n\njulia> express(X1, CliffordRepr())\n𝒟ℯ𝓈𝓉𝒶𝒷\n+ Z\n𝒮𝓉𝒶𝒷\n+ X\n\njulia> express(QuantumSymbolics.X)\nOperator(dim=2x2)\n basis: Spin(1/2)sparse([2, 1], [1, 2], ComplexF64[1.0 + 0.0im, 1.0 + 0.0im], 2, 2)\n\njulia> express(QuantumSymbolics.X, CliffordRepr(), UseAsOperation())\nsX\n\njulia> express(QuantumSymbolics.X, CliffordRepr(), UseAsObservable())\n+ X\n\n\n\n\n\n","category":"function"},{"location":"API/#QuantumSymbolics.qexpand-Tuple{Any}","page":"API","title":"QuantumSymbolics.qexpand","text":"qexpand(s)\n\nManually expand a symbolic expression of quantum objects. \n\njulia> @op A; @op B; @op C;\n\njulia> qexpand(commutator(A, B))\n(-1BA+AB)\n\njulia> qexpand(A⊗(B+C))\n((A⊗B)+(A⊗C))\n\njulia> @ket k₁; @ket k₂;\n\njulia> qexpand(A*(k₁+k₂))\n(A|k₁⟩+A|k₂⟩)\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.qsimplify-Tuple{Any}","page":"API","title":"QuantumSymbolics.qsimplify","text":"qsimplify(s; rewriter=nothing)\n\nManually simplify a symbolic expression of quantum objects. \n\nIf the keyword rewriter is not specified, then qsimplify will apply every defined rule to the expression. For performance or single-purpose motivations, the user has the option to define a specific rewriter for qsimplify to apply to the expression. The defined rewriters for simplification are the following objects: - qsimplify_pauli - qsimplify_commutator - qsimplify_anticommutator\n\njulia> qsimplify(σʸ*commutator(σˣ*σᶻ, σᶻ))\n(0 - 2im)Z\n\njulia> qsimplify(anticommutator(σˣ, σˣ), rewriter=qsimplify_anticommutator)\n2𝕀\n\n\n\n\n\n","category":"method"},{"location":"API/#QuantumSymbolics.@bra-Tuple{Any, Any}","page":"API","title":"QuantumSymbolics.@bra","text":"@bra(name, basis=SpinBasis(1//2))\n\nDefine a symbolic bra of type SBra. By default, the defined basis is the spin-1/2 basis.\n\njulia> @bra b₁\n⟨b₁|\n\njulia> @bra b₂ FockBasis(2)\n⟨b₂|\n\n\n\n\n\n","category":"macro"},{"location":"API/#QuantumSymbolics.@ket-Tuple{Any, Any}","page":"API","title":"QuantumSymbolics.@ket","text":"@ket(name, basis=SpinBasis(1//2))\n\nDefine a symbolic ket of type SKet. By default, the defined basis is the spin-1/2 basis.\n\njulia> @ket k₁\n|k₁⟩\n\njulia> @ket k₂ FockBasis(2)\n|k₂⟩\n\n\n\n\n\n","category":"macro"},{"location":"API/#QuantumSymbolics.@op-Tuple{Any, Any}","page":"API","title":"QuantumSymbolics.@op","text":"@op(name, basis=SpinBasis(1//2))\n\nDefine a symbolic ket of type SOperator. By default, the defined basis is the spin-1/2 basis.\n\njulia> @op A\nA\n\njulia> @op B FockBasis(2)\nB\n\n\n\n\n\n","category":"macro"}] +} diff --git a/v0.4.0/siteinfo.js b/v0.4.0/siteinfo.js new file mode 100644 index 0000000..cf5b387 --- /dev/null +++ b/v0.4.0/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.4.0"; diff --git a/versions.js b/versions.js index cadbb52..1914e73 100644 --- a/versions.js +++ b/versions.js @@ -1,9 +1,10 @@ var DOC_VERSIONS = [ "stable", + "v0.4", "v0.3", "v0.2", "v0.1", "dev", ]; -var DOCUMENTER_NEWEST = "v0.3.4"; +var DOCUMENTER_NEWEST = "v0.4.0"; var DOCUMENTER_STABLE = "stable";