Markovian量子子系统与稳定化设计

doi:10.3969/j.issn.0253-2778.2014.10.003

中国科学技术大学学报 ›› 2014, Vol. 44 ›› Issue (10): 811-817.DOI: 10.3969/j.issn.0253-2778.2014.10.003

• 论著 • 上一篇

Markovian量子子系统与稳定化设计

姚香，匡森

中国科学技术大学自动化系，安徽合肥 230027

收稿日期:2013-12-13 修回日期:2014-05-16 接受日期:2014-05-16 出版日期:2014-05-16 发布日期:2014-05-16
通讯作者: 匡森
作者简介:姚香，女，1988年生，硕士生. 研究方向：量子控制. E-mail: ashleyok@mail.ustc.edu.cn
基金资助:
国家自然科学基金（60904033），中央高校基本科研业务费专项资金（WK2100100019）资助.

Markovian quantum subsystems and stabilization design

YAO Xiang, KUANG Sen

Department of Automation, University of Science and Technology of China, Hefei 230027, China

Received:2013-12-13 Revised:2014-05-16 Accepted:2014-05-16 Online:2014-05-16 Published:2014-05-16

摘要/Abstract

摘要： 量子子系统在量子信息处理与控制中有着广泛的应用，如何实现对量子子系统的控制显得尤为重要.针对马尔科夫类型的开放量子系统动力学模型，概括了其子系统不变性与吸引性的主要理论结果，分析了子系统不变性与吸引性的重要性质及实质含义.在此基础上，研究了任一子系统成为不变子系统和吸引子系统的开环哈密顿设计方法.特别地，对子系统进行不变性的哈密顿设计、对不变子系统进行吸引性的哈密顿设计实现了子系统的全局稳定性.最后，在一个两能级开放量子系统上进行了仿真实验，验证了理论结果的正确性.

关键词: 量子子系统, 不变性, 吸引性, 哈密顿设计, 稳定化

Abstract: Quantum subsystems have been widely applied in the field of quantum information processing and control, so active control over quantum subsystems is of great importance. For Markovian open quantum dynamical model, some main theoretical results on invariant and attractive subsystems are summarized, and some important properties and their essential meanings are analyzed. Based on these, open-loop Hamiltonian design methods which make a subsystem become invariant and attractive were studied. In particular, the Hamiltonian design of invariance of a subsystem and attractiveness of an invariant subsystem achieved globally asymptotical stabilization of this subsystem. Finally, simulation experiments on a two-level open quantum system were conducted, and results show the validity of the proposed method.

Key words: quantum subsystems, invariance, attractivity, Hamiltonian control, stabilization

中图分类号:

TP271

姚香，匡森. Markovian量子子系统与稳定化设计[J]. 中国科学技术大学学报, 2014, 44(10): 811-817.

YAO Xiang, KUANG Sen. Markovian quantum subsystems and stabilization design[J]. Journal of University of Science and Technology of China, 2014, 44(10): 811-817.

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Markovian量子子系统与稳定化设计

Markovian quantum subsystems and stabilization design

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