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

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2019-06-01 DOI:10.1142/S1230161219500100

T. Kamizawa

引用次数: 0

Abstract

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).

查看原文本刊更多论文

开放量子系统分析的可约准则及构造方法

如果一个开放量子系统的希尔伯特空间的维数很大或无限，那么对它的分析就会非常困难。然而，在某些情况下，有限维希尔伯特空间上的动力学可以分解成块对角线形式，从而简化了系统结构。在本报告中，我们将研究完全可约性的几个标准，以及应用于开放量子系统分析的每个简化组件的基的计算方法。这些工具的重要一点是它们是“有效的”方法(人们可以在有限的步骤中完成任务)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.