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Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps

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arxiv 2205.10341 v3 pith:OEKMOA26 submitted 2022-05-20 quant-ph math-phmath.MP

M.E.Shirokov This is my paper · ORCID
classification quant-phmath-phmath.MP
keywords convergenceentropyquantumrelativecompletelycontinuitycriterionlinear
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A criterion and necessary conditions for convergence (local continuity) of the quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of local continuity of the quantum relative entropy under completely positive linear maps is established.

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  1. The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications

    quant-ph 2025-05 accept novelty 6.0 of 10

    An optimized version of the Alicki-Fannes-Winter technique yields strictly tighter semicontinuity and continuity bounds for several quantum and classical information characteristics.

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