Introduces r-deformed α-z-Rényi relative entropies that satisfy divergence axioms, obey data processing inequality in certain parameter ranges, and provide a tighter upper bound on Tsallis relative entropy for density operators than a prior bound.
Matrix trace inequalities on Tsallis relative entropy of negative order.Journal of Mathematical Analysis and Applications, 472(2):1499–1508, 2019
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$r$-deformed $\alpha$-$z$-R\'enyi relative entropy
Introduces r-deformed α-z-Rényi relative entropies that satisfy divergence axioms, obey data processing inequality in certain parameter ranges, and provide a tighter upper bound on Tsallis relative entropy for density operators than a prior bound.