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- W2003381574 abstract "In the paper, we give a characterization of surjective maps on quantum states preserving quantum entropy of convex combinations. Let S(H) be the set of all quantum states (positive operators with the unit trace) on a complex Hilbert space H with dimH=n<∞ and S(ρ) the quantum entropy of the quantum state ρ. For arbitrary a surjective map ϕ:S(H)→S(H), we claim that ϕ preserves quantum entropy of convex combinations of quantum states, i.e., satisfies S(tρ+(1−t)σ)=S(tϕ(ρ)+(1−t)ϕ(σ)) for arbitrary ρ,σ∈S(H) and t∈[0,1] if and only if there exists a unitary or anti-unitary operator U on H such that ϕ(ρ)=UρU⁎ for all ρ∈S(H)." @default.
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- W2003381574 date "2015-02-01" @default.
- W2003381574 modified "2023-10-16" @default.
- W2003381574 title "Entropy-preserving maps on quantum states" @default.
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- W2003381574 doi "https://doi.org/10.1016/j.laa.2014.11.013" @default.
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