Some Properties Of Tsallis And Tsallis-Lin Quantum Relative Entropies

Reza Asgharzadeh Jelodar,Hossein Mehri-Dehnavi,Hamzeh Agahi

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS（2021）

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摘要

In 1991, a new class of information-theoretic divergence measures based on the Shannon entropy was introduced by Lin (1991). In this paper, we discuss the quantum extensions of the Tsallis-Lin relative entropy for two density matrices. Then some properties of Tsallis and Tsallis-Lin quantum relative entropies and their relationship to quantum Tsallis-Jensen-Shannon divergence are studied. (C) 2021 Elsevier B.V. All rights reserved.

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关键词

Tsallis quantum relative entropy, Quantum relative entropy, Density matrices, Kullback-Leibler divergence, Quantum Lin's divergence, Quantum Tsallis-Jensen-Shannon divergence

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