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Quantum Tsallis-Jensen-Shannon divergence and its bounds
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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.
Title: Quantum Tsallis-Jensen-Shannon divergence and its bounds
Description:
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.
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