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General formulas for capacity of classical-quantum channels

机译:经典量子通道容量的通用公式

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摘要

The capacity of a classical-quantum channel (or, in other words, the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a channel. A capacity formula as well as a characterization of the strong converse property is given just in parallel with the corresponding classical results of Verdu-Han (1994) which are based on the so-called information-spectrum method. The general results are applied to the stationary memoryless case with or without cost constraint on inputs, whereby a deep relation between the channel coding theory and the hypothesis testing for two quantum states is elucidated.
机译:在最一般的设置中考虑经典量子通道的容量(或者换句话说,量子通道的经典容量),在这种情况下,不会在通道上进行任何结构假设,例如静态无记忆特性。容量公式以及强逆特性的描述与与Verdu-Han(1994)的相应经典结果(基于所谓的信息谱方法)并行给出。将一般结果应用于具有输入成本或没有成本约束的平稳无记忆情况,从而阐明了信道编码理论与两个量子态的假设检验之间的深层关系。

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