| 借助Lyapunov方法的量子系统平衡态的布居控制 |
| |
| 引用本文： | 匡森,丛爽.借助Lyapunov方法的量子系统平衡态的布居控制[J].自动化学报,2010,36(9):1257-1263. |
| |
| 作者姓名： | 匡森 丛爽 |
| |
| 作者单位： | 1.Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China |
| |
| 摘 要： | This paper studies the population control problem associated with the equilibrium states of mixed-state quantum systems by using a Lyapunov function with degrees of freedom. The control laws are designed by ensuring the monotonicity of the Lyapunov function; main results on the largest invariant set in the sense of LaSalle are given; and the strict expression of any state in the largest invariant set is normally deduced in the framework of Bloch vectors. By analyzing the obtained largest invariant set and the Lyapunov function itself, this paper also discusses the determination problem of the degrees of freedom. Numerical simulation experiments on a three-level system show the validity of research results.
|
| 关 键 词： | Quantum system population control Bloch vector Lyapunov function invariant set |
| 收稿时间： | 2009-11-23 |
| 修稿时间： | 2010-3-17 |
Population Control of Equilibrium States of Quantum Systems via Lyapunov Method |
| |
| KUANG Sen,CONG Shuang.Population Control of Equilibrium States of Quantum Systems via Lyapunov Method[J].Acta Automatica Sinica,2010,36(9):1257-1263. |
| |
| Authors: | KUANG Sen CONG Shuang |
| |
| Affiliation: | 1.Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China;2.Hefei National Laboratory for Physical Sciences at the Microscale, Hefei 230026, P.R. China |
| |
| Abstract: | This paper studies the population control problem associated with the equilibrium states of mixed-state quantum systems by using a Lyapunov function with degrees of freedom. The control laws are designed by ensuring the monotonicity of the Lyapunov function; main results on the largest invariant set in the sense of LaSalle are given; and the strict expression of any state in the largest invariant set is normally deduced in the framework of Bloch vectors. By analyzing the obtained largest invariant set and the Lyapunov function itself, this paper also discusses the determination problem of the degrees of freedom. Numerical simulation experiments on a three-level system show the validity of research results. |
| |
| Keywords: | Quantum system population control Bloch vector Lyapunov function invariant set |
|
| 点击此处可从《自动化学报》浏览原始摘要信息 |
|
点击此处可从《自动化学报》下载全文 |
