We introduce a notion of absorption operators in the context of quantum Markov processes. The absorption problem in invariant domains (enclosures) is treated for a quantum Markov evolution on a separable Hilbert space, both in discrete and continuous times: We define a well-behaving set of positive operators which can correspond to classical absorption probabilities, and we study their basic properties, in general, and with respect to accessibility structure of channels, transience and recurrence. In particular, we can prove that no accessibility is allowed between the null and positive recurrent subspaces. In the case, when the positive recurrent subspace is attractive, ergodic theory will allow us to get additional results, in particular about the description of fixed points.

我们在量子马尔可夫过程的背景下引入吸收算符的概念。在离散和连续时间中，针对可分离的希尔伯特空间上的量子马尔可夫演化，处理了不变域（附件）中的吸收问题：我们定义了行为良好的一组正算子，可以对应于经典吸收概率，并且我们研究了一般而言，它们的基本属性以及渠道的可访问性结构，瞬态和重复出现。特别是，我们可以证明在null和正循环子空间之间不允许有可访问性。在这种情况下，当正递归子空间具有吸引力时，遍历理论将使我们获得更多结果，尤其是关于不动点的描述。