Variational representations related to quantum Rényi relative entropies
Variational representations related to quantum Rényi relative entropies
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DOI：
10.1016/j.laa.2020.10.001
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Guanghua Shi
中科院分区：
文献类型：
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作者：
Guanghua Shi
In this paper, we focus on variational representations of some matrix symmetric norm functions that are related to the quantum Rényi relative entropy. Concretely, we obtain variational representations of the function (A, B) → |||(Bq/2K*ApKBq/2)*s|||for symmetric norms by using the Hölder inequality and Young inequality. These variational expressions enable us to make the proofs of the convexity/concavity of the trace function (A, B) → Tr(Bq/2K*ApKBq/2)*s more clear and give a new extension.
