| 基于状态距离的量子控制策略 |
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| 引用本文： | 丛爽,匡森.基于状态距离的量子控制策略[J].自动化学报,2007,33(1):28-31. |
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| 作者姓名： | 丛爽 匡森 |
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| 作者单位： | 1.中国科技大学自动化系 |
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| 摘 要： | 基于Bures距离，选择一个表征量子系统期望态和实际态间距离的Lyapunov函数.考虑到初始态与期望态分别正交和不正交的情况，提出一类带有状态反馈的控制策略，它可以保证闭环控制系统的稳定性.特别详细地分析、推导和证明了系统的渐进稳定性.最后，在一个自旋1/2粒子系统上进行了仿真实验，分析了不同参数情况下系统的状态演化时间和控制值间的关系.研究结果对于量子系统的控制具有一般理论意义.
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| 关 键 词： | 量子系统 反馈控制 李雅普诺夫函数 稳定性 |
| 收稿时间： | 2005-06-09 |
| 修稿时间： | 2006-05-24 |
Quantum Control Strategy Based on State Distance |
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| CONG Shuang,KUANG Sen.Quantum Control Strategy Based on State Distance[J].Acta Automatica Sinica,2007,33(1):28-31. |
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| Authors: | CONG Shuang KUANG Sen |
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| Affiliation: | 1.Department of Automation, University of Science and Technology of China, Hefei, 230027, P. R. China |
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| Abstract: | Based on Bures distance, a Lyapunov function that represents the distance between a desired state and the actual state of a quantum system is selected. Considering the cases that an initial state is and is not orthogonal to the desired state respectively, we propose a class of control strategies with state feedback that ensures the stability of the closed-loop control system. Especially, the asymptotic stability of the control system is analyzed, deduced and proved in detail. Finally, a simulation experiment on a spin-1/2 particle system is done and the relation between the system state evolution time and control value is analyzed with different parameters. Research results have general theoretical meaning for control of quantum systems. |
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| Keywords: | Quantum system feedback control Lyapunov function stability |
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