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- W2986290713 abstract "In this paper, we focus on variational representations of some matrix symmetric norm functions that are related to the quantum R'{e}nyi relative entropy. Concretely, we obtain variational representations of the function (A,B)mapsto normmm{(B^{q/2}K^*A^pKB^{q/2})^s} for symmetric norms by using the H{o}lder inequality and Young inequality. These variational expressions enable us to make the proofs of the convexity/concavity of the trace function (A,B)mapsto tr (B^{q/2}K^*A^pKB^{q/2})^s more clear." @default.
- W2986290713 created "2019-11-22" @default.
- W2986290713 creator A5007183896 @default.
- W2986290713 date "2019-11-11" @default.
- W2986290713 modified "2023-09-24" @default.
- W2986290713 title "Variational Representations related to Quantum R'{e}nyi Relative Entropies" @default.
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- W2986290713 doi "https://doi.org/10.48550/arxiv.1911.04222" @default.
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