On characterization of positive maps preserving continuity of the von Neumann entropy

DOI10.1070/RM9735zbMath1422.47045arXiv1704.01905MaRDI QIDQ2965808

M. E. Shirokov

Publication date: 3 March 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01905

zbMATH Keywords

von Neumann entropyquantum statespreservers of von Neumann entropy

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator algebra methods applied to problems in quantum theory (81R15) Linear spaces of operators (47L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

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