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QuantumInformation.jl-A Julia package for numerical computation in quantum information theory

i=1 r are Kraus operators satisfying removedGRAPHIC ∑ i=1
text id="pone.0209358.box015" position="anchor" orientation="portrait">julia>gamma=0.4 0.4 julia>K0=Matrix([1 0; 0] sqrt(1- gamma)] 2*2 Array{Float64,2
<ψ | ψ>=1 }.<boxed text id="pone.0209358.box023" position="anchor" orientation="portrait">julia>K0=Matrix([1 0; 0] sqrt(1- gamma)] 2*2 Array{Float64,2
text id="pone.0209358.box038" position="anchor" orientation="portrait">julia>g=GinibreEnsemble{2}(2,3) GinibreEnsemble{2}(m=2, n=3) julia>randg 2*3 Array{Complex{Float64},2
text id="pone.0209358.box040" position="anchor" orientation="portrait">julia>w=WishartEnsemble{1,0.2}(5) WishartEnsemble{1,0.2}(d=5) julia>z=randw 5*5 Array{Float64,2
b (42) - Circular orthogonal ensemble COE, b=1. - Circular unitary ensemble CUE, b=2. - Circular symplectic ensemble CSE, b=4
GinibreEnsemble{2}(m=3, n=3) julia>u=randc 3*3 Array{Complex{Float64},2
GinibreEnsemble{1}(m=3, n=3) julia>o=randc 3*3 Array{Float64,2
text id="pone.0209358.box044" position="anchor" orientation="portrait">julia>h=HaarKet{2}(3) HaarKet{2}(d=3) julia>ψ=randh 3 element Array{Complex{Float64},1
text id="pone.0209358.box047" position="anchor" orientation="portrait">julia>h=HilbertSchmidtStates(3) HilbertSchmidtStates{2,1}(WishartEnsemble{2,1}(d=3), 3) julia>rho=randh 3*3 Array{Complex{Float64},2
text id="pone.0209358.box050" position="anchor" orientation="portrait">julia>c=ChoiJamiolkowskiMatrices(2, 3) ChoiJamiolkowskiMatrices{2,1}(WishartEnsemble{2,1}(d=6), 2, 3) julia>Phi=randc DynamicalMatrix{Array{Complex{Float64},2
pone.0209358.box051" position="anchor" orientation="portrait">using QuantumInformation steps=100 haar=HaarKet(2) ψ=(ket(0, 4) + ket(3, 4)/sqrt(2) gamma s=0.0:0.01:1.0 Phi=KrausOperators([1 0; 0] sqrt(1
i=1:steps ϕ=randhaar ξ=ϕ ⊗ ψ rho=(had ⊗ IdentityChannel(4)∘(cnot ⊗ IdentityChannel(2)∘(IdentityChannel(4
i=1:steps U=randdist end end</boxed text><p specific use="continuation">The Python implementation reads<boxed text id="pone.0209358.box055
i=1:steps ψ=randdist end end</boxed text><p specific use="continuation">The Python implementation reads<boxed text id="pone.0209358.box057
i=1:steps rho=randdist end end</boxed text><p specific use="continuation">The Python implementation reads<boxed text id="pone.0209358.box059
i=1:steps U=randdist end end</boxed text><p specific use="continuation">The Python implementation reads<boxed text id="pone.0209358.box067