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Cambridge university press, 1994

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$r$-deformed $\alpha$-$z$-R\'enyi relative entropy

math-ph · 2026-07-02 · unverdicted · novelty 5.0

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.

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  • $r$-deformed $\alpha$-$z$-R\'enyi relative entropy math-ph · 2026-07-02 · unverdicted · none · ref 17

    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.