标题： 量子 dynamical 半群的状态空间分解 显示英文标题

标题： State Space Decomposition of Quantum Dynamical Semigroups

摘要： 开放量子系统的连续时间平均演化由时间连续的量子信道（完全正且迹保持的线性映射）半群描述。 Baumgartner 和 Narnhofer 提出了一个关于基本 Hilbert 空间的通用分解，这些子空间也称为禁闭态。 我们提出对该结果的一种新解读，受 Carbone 和 Pautrat 工作的启发。 此外，我们将该分解应用于一类开放量子随机游走和量子轨迹，并研究其唯一性。 显示英文摘要

摘要： The mean evolution of an open quantum system in continuous time is described by a time continuous semigroup of quantum channels (completely positive and trace-preserving linear maps). Baumgartner and Narnhofer presented a general decomposition of the underlying Hilbert space into a sum of invariant subspaces, also called enclosures. We propose a new reading of this result, inspired by the work of Carbone and Pautrat. In addition, we apply this decomposition to a class of open quantum random walks and to quantum trajectories, where we study its uniqueness.