Sbornik Mathematics

Convergence criterion for quantum relative entropy and its use

Максим Евгеньевич Широков

Published Jan 1, 2022• 6 citations

Abstract

A criterion and necessary conditions for the convergence (local continuity) of quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of the local continuity of quantum relative entropy under completely positive linear maps is established. Bibliography: 29 titles.

DOI: 10.4213/sm9794e

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