标题： 最小反射熵 = 1/2阶双重最小化佩茨瑞尼互信息 显示英文标题

标题： Min-reflected entropy = doubly minimized Petz Renyi mutual information of order 1/2

摘要： Renyi反射熵的阶数$n \geq 2$是在全息领域中引入的相关性度量。 在本工作中，我们将重点放在最小反射熵上，即极限为$n \rightarrow \infty$的 Renyi 反射熵。 我们证明，对于一般的双量子态，该度量与来自量子信息理论领域的另一个度量相同：阶数为$1/2$的双重最小 Petz Renyi 互信息。 此外，我们展示了这种等式如何使我们能够回答几个以前未解决的问题，每个问题都涉及这两种相关性度量（或它们的推广）之一。 显示英文摘要

摘要： Renyi reflected entropies of order $n \geq 2$ are correlation measures that have been introduced in the field of holography. In this work, we put the spotlight on the min-reflected entropy, i.e., the Renyi reflected entropy in the limit $n \rightarrow \infty$. We show that, for general bipartite quantum states, this measure is identical to another measure originating from the field of quantum information theory: the doubly minimized Petz Renyi mutual information of order $1/2$. Furthermore, we demonstrate how this equality enables us to answer several previously open questions, each concerning one of the two correlation measures (or generalizations of them).