General formulas for capacity of classical-quantum channels

General formulas for capacity of classical-quantum channels
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DOI:
10.1109/isit.2002.1023343
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发表时间:
2002-06
影响因子:
2.5
通讯作者:
Masahito Hayashi;H. Nagaoka
Masahito Hayashi;H. Nagaoka
中科院分区:
计算机科学2区
文献类型:
--
作者:
Masahito Hayashi;H. Nagaoka

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在最通用的环境中考虑了经典量子通道(或换句话说,量子通道的经典容量)的容量,在这种情况下,没有在通道上进行诸如固定的无内存属性之类的结构假设。容量公式以及强匡威特性的表征与Verdu-Han(1994)的相应经典结果并行,这些结果基于所谓的信息光谱法。一般结果应用于在输入上有或没有成本限制的情况下,将通道编码理论与两个量子态的假设检验之间存在深厚的关系。
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.