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 the Tsallis entropies
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abstract
Maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for non-negative matrices in the framework of matrix analysis. In addtition, some matrix trace inequalities related to the Tsallis relative entropy are studied.
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math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.