标题： 量子信道的熵特征笔记 显示英文标题

标题： Notes on entropic characteristics of quantum channels

摘要： 量子信息理论中最重要的问题之一是通过噪声量子信道传输信息。 我们讨论了一些通过广义熵表示的信道特性。 这些特性通常可以按照基于冯·诺依曼熵的更常规方法来处理。 对于任何信道，我们证明了度为$q\geq1$的$q$-平均输出熵被输入密度矩阵的$q$-熵从上方限制。 考虑了$(q,s)$-熵交换的凹性性质。 推导了关于$(q,s)$-熵交换的Fano型量子界限。 我们还给出了映射$(q,s)$-熵的上界，这些上界是相对于完全混合输入的输出熵而言的。 显示英文摘要

摘要： One of most important issues in quantum information theory concerns transmission of information through noisy quantum channels. We discuss few channel characteristics expressed by means of generalized entropies. Such characteristics can often be dealt in line with more usual treatment based on the von Neumann entropies. For any channel, we show that the $q$-average output entropy of degree $q\geq1$ is bounded from above by the $q$-entropy of the input density matrix. Concavity properties of the $(q,s)$-entropy exchange are considered. Fano type quantum bounds on the $(q,s)$-entropy exchange are derived. We also give upper bounds on the map $(q,s)$-entropies in terms of the output entropy, corresponding to the completely mixed input.