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Merged
hmyuuu merged 1 commit into from
Mar 11, 2022
Merged

algorithm #11

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134 changes: 134 additions & 0 deletions src/AsymptoticBound/AsympototicBound.jl
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Original file line number Diff line number Diff line change
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abstract type AbstractLDtype end

abstract type SLD <: AbstractLDtype end
abstract type RLD <: AbstractLDtype end
abstract type LLD <: AbstractLDtype end

struct QFIM_Obj{P,D} <: AbstractObj
W::AbstractMatrix
eps::Number
end

struct CFIM_obj{P} <: AbstractObj
M::AbstractVecOrMat
W::AbstractMatrix
eps::Number
end

struct HCRB{P} <: AbstractObj
W::AbstractMatrix
eps::Number
end

QFIM_Obj(W, eps, syms::Symbol...) = QFIM_Obj{eval.(syms)...}(W, eps)
CFIM_Obj(M, W, eps, syms::Symbol...) = CFIM_Obj{eval.(syms)...}(M, W, eps)
HCRB_Obj(W, eps, syms::Symbol...) = HCRB_Obj{eval.(syms)...}(W, eps)


function objective(obj::QFIM{single_para, SLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_SLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, SLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_SLD(ρ,dρ;eps=eps)))
end

function objective(obj::QFIM{single_para, RLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_RLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, RLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_RLD(ρ,dρ;eps=eps)))
end

function objective(obj::QFIM{single_para, LLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_LLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, LLD}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_LLD(ρ,dρ;eps=eps)))
end

function objective(obj::QFIM{single_para, SLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_SLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, SLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_SLD(ρ,dρ;eps=eps)))
end

function objective(obj::QFIM{single_para, RLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_RLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, RLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_RLD(ρ,dρ;eps=eps)))
end

function objective(obj::QFIM{single_para, LLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*QFIM_LLD(ρ,dρ[1];eps=eps)
end

function objective(obj::QFIM{multi_para, LLD}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(QFIM_LLD(ρ,dρ;eps=eps)))
end

function objective(obj::CFIM{single_para}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*CFIM(ρ,dρ[1];eps=eps)
end

function objective(obj::CFIM{multi_para}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(CFIM(ρ,dρ;eps=eps)))
end

function objective(obj::CFIM{single_para}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
W[1]*CFIM(ρ,dρ[1];eps=eps)
end

function objective(obj::CFIM{multi_para}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
tr(W*pinv(CFIM(ρ,dρ;eps=eps)))
end

function objective(obj::HCRB{multi_para}, dynamics::Lindblad)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
Holevo_bound(ρ,dρ,W;eps=eps)
end

function objective(obj::HCRB{multi_para}, dynamics::Kraus)
(;W,eps) = obj
ρ, dρ = evolve(dynamics)
Holevo_bound(ρ,dρ,W;eps=eps)
end
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