标题： 量子马尔可夫半群的准稳态正则态 显示英文标题

标题： Quasi-stationary normal states for quantum Markov semigroups

摘要： 我们引入了量子马尔可夫半群背景下准稳态状态（QSS）的概念，该概念推广了经典马尔可夫链情况下准稳态分布的概念。 我们使用直接和间接量子测量理论对QSS提供了操作性解释。 此外，我们证明了QSS与量子马尔可夫半群谱性质之间存在联系。 最后，我们讨论了一些例子，尽管它们很简单，但已经显示出有趣的特性。 显示英文摘要

摘要： We introduce the notion of Quasi-Stationary State (QSS) in the context of quantum Markov semigroups that generalizes the one of quasi-stationary distribution in the case of classical Markov chains. We provide an operational interpretation of QSSs using the theory of direct and indirect quantum measurements. Moreover, we prove that there is a connection between QSSs and spectral properties of the quantum Markov semigroup. Finally, we discuss some examples which, despite their simplicity, already show interesting features.