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Quantum Tsallis-Jensen-Shannon divergence and its bounds
  • Fatemeh Hassanzad,
  • Hossien Mehri-Dehnavi,
  • Hamzeh Agahi
Fatemeh Hassanzad
Babol Noshirvani University of Technology
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Hossien Mehri-Dehnavi
Babol Noshirvani University of Technology

Corresponding Author:mehrideh@gmail.com

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Hamzeh Agahi
Babol Noshirvani University of Technology
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Abstract

In this paper, we first introduce some properties of quantum Tsallis-Jensen-Shannon divergence for two density matrices. Then one of the beautiful and very simple applications of Hermit-Hadamard’s inequality [S. Dragomir, et. al. Math. Methods Appl. Sci., 1–15 (2020)] for log-convexity in the concepts of quantum entropies and quantum Tsallis-Jensen-Shannon is given.