关于熵保持随机变量的Shannon解释
Around Shannon's Interpretation for Entropy-preserving Stochastic Averages
摘要：
给出了矩阵代数上正的单位元Tr-保持映射保持状态的von Neumann熵的各种刻画。其中，它是由下式给出的：映射表现为 *-自同构。这也等价于由映射和状态产生的随机阵的熵为零。
英文摘要：
We give various characterizations for a positive unital Tr-preserving map on a matrix algebra to preserve the von Neumann entropy of a state. Among others, it is given by that the map behaves as a *-automorphism. This is also equivalent to that the entropy of the stochastic matrix arising from the map and the state is zero.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
