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Monotone homomorphisms, derivations Within the framework of preordered semirings, transformation criteria for products of elements are formulated in terms of monotone homomorphi

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Maximal R\'enyi Relative Entropy for $\alpha>2$

quant-ph · 2026-08-02 · accept · novelty 8.0

For α>2, every quantum relative entropy extending the classical Rényi relative entropy is upper bounded by D_{α,α-1}, which is therefore the maximal quantum Rényi relative entropy.

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  • Maximal R\'enyi Relative Entropy for $\alpha>2$ quant-ph · 2026-08-02 · accept · none · ref 5

    For α>2, every quantum relative entropy extending the classical Rényi relative entropy is upper bounded by D_{α,α-1}, which is therefore the maximal quantum Rényi relative entropy.