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Quantum conditional entropy for infinite-dimensional systems

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arxiv 1004.4519 v2 pith:62YA7BTK submitted 2010-04-26 math-ph math.MPquant-ph

A. A. Kuznetsova This is my paper · ORCID
classification math-phmath.MPquant-ph
keywords infinite-dimensionalconditionalentropyquantumcasesystemsarxivcoherent
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In this paper a general definition of quantum conditional entropy for infinite-dimensional systems is given based on recent work of Holevo and Shirokov arXiv:1004.2495 devoted to quantum mutual and coherent informations in the infinite-dimensional case. The properties of the conditional entropy such as monotonicity, concavity and subadditivity are also generalized to the infinite-dimensional case.

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  1. Optimal uniform continuity bound for conditional entropy of classical--quantum states

    quant-ph 2019-09 accept novelty 6.0 of 10

    For classical-quantum states, the conditional entropy can change by at most epsilon log2(d_B-1) + h2(epsilon) under a trace-distance perturbation epsilon, and this bound cannot be improved.

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