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Reductibility Criteria and a Construction Method for the Analysis of Open Quantum Systems

机译:打开量子系统分析的可减少标准和施工方法

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摘要

The analysis of an open quantum system can be by far difficult if the dimension of the system Hilbert space is large or infinite. However, in some cases the dynamics on a finite-dimensional Hilbert space can be decomposed into a block-diagonal form, which simplifies the system structure. In this presentation, we will study several criteria for the complete reducibility and, in addition, a computational method for a basis of each simplified component to apply for the analysis of open quantum systems. An important point of these tools is that they are "effective" methods (one can complete the task in a finite number of steps).
机译:如果系统希尔伯特空间的尺寸大或无限,则对开放量子系统的分析可以很困难。然而,在某些情况下,有限维希尔伯特空间上的动态可以被分解成块对角线形式,这简化了系统结构。在本演示文献中,我们将研究完全还原性的若干标准,另外,基于每个简化组件的计算方法申请用于开放量子系统的分析。这些工具的一个重要点是它们是“有效”方法(一个人可以在有限数量的步骤中完成任务)。

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