Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 567, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2020.125719
Keywords
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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Funding
- Babol Noshirvani University of Technology [BNUT/392100/99, BNUT/390012/99]
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This paper introduces a new class of information-theoretic divergence measures based on Shannon entropy, and discusses their quantum extension for two density matrices. It also studies the properties of Tsallis and Tsallis-Lin quantum relative entropies and their relationship to quantum Tsallis-Jensen-Shannon divergence.
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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