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Divergence Radii and the Strong Converse Exponent of Classical-Quantum Channel Coding With Constant Compositions

机译:具有恒定组成的分歧半径和典型量子通道编码的强逆逆向指数

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摘要

There are different inequivalent ways to define the Renyi capacity of a channel for a fixed input distribution. In [IEEE Transactions on Information Theory, 41(1):26-34, 1995], Csiszar has shown that for classical discrete memoryless channels there is a distinguished such quantity that has an operational interpretation as a generalized cutoff rate for constant composition channel coding. We show that the analogous notion of Renyi capacity, defined in terms of the sandwiched quantum Renyi divergences, has the same operational interpretation in the strong converse problem of constant composition classical-quantum channel coding.
机译:有不同的不平等方法可以定义用于固定输入分布的通道的renyi容量。在[IEEE交易上的信息理论上,41(1):26-34,1995],CSISZAR表明,对于经典的离散无记忆频道,存在具有操作解释的特征,作为恒定成分信道编码的广义截止速率。我们表明,在夹层量子瑞尼分歧方面定义了仁怡能力的类似概念,在恒定成分经典量子信道编码的强逆问题中具有相同的操作解释。

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