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.
Sandwiched R´ enyi divergence satisfies data processing inequality.Journal of Mathematical Physics, 54(12), 2013
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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.