Some properties of Tsallis and Tsallis–Lin quantum relative entropies

Reza Asgharzadeh Jelodar, Hossein Mehri-Dehnavi and Hamzeh Agahi

Physica A: Statistical Mechanics and its Applications, 2021, vol. 567, issue C

Abstract: 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.

Keywords: Tsallis quantum relative entropy; Quantum relative entropy; Density matrices; Kullback–Leibler divergence; Quantum Lin’s divergence; Quantum Tsallis–Jensen–Shannon divergence (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120310177

DOI: 10.1016/j.physa.2020.125719

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