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.