Affiliation:
1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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.
Funder
Ministry of Science and Higher Education of the Russian Federation
Publisher
Steklov Mathematical Institute
Subject
Algebra and Number Theory
Cited by
2 articles.
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1. Continuity of the relative entropy of resource;International Journal of Quantum Information;2024-05-29
2. Uncertainty Relations for Coherence Quantifiers of the Tsallis Type;Proceedings of the Steklov Institute of Mathematics;2024-03