| 平均最优控制在量子系统中的应用 |
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| 引用本文： | 东宁,丛爽.平均最优控制在量子系统中的应用[J].科技导报(北京),2006,24(1):23-27. |
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| 作者姓名： | 东宁 丛爽 |
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| 作者单位： | 中国科学技术大学自动化系 合肥230027 |
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| 摘 要： | 在假设控制时间相对很大的情况下,利用平均理论对量子系统进行简化得到平均系统,对平均系统利用经典的最优控制理论进行控制场的设计,获得系统在能量达到最优情况下的控制场的解析解,避免了利用迭代求解二值边界条件的常规求解方式。最后通过一个3能级量子系统的实例进行仿真实验,根据实验结果得到相关结论。
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| 关 键 词： | 最优控制 量子系统 平均理论 |
| 文章编号： | 1000-7857（2006）01-0023-05 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005年10月10 |
Applications of Averaging Optimal Control in Quantum System |
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| DONG Ning,CONG Shuang.Applications of Averaging Optimal Control in Quantum System[J].Science & Technology Review,2006,24(1):23-27. |
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| Authors: | DONG Ning CONG Shuang |
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| Institution: | Department of Automation, University of Science and Technology of China, Hefei 230027, China |
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| Abstract: | The control time is supposed to be relative large, the averaged system is obtained by using of the averaging theorem in the quantum system. The control field of averaged system is designed by classical optimal control theorem, then analytic expression for the control field is acquired within optimal energy. As a result, the normal iterative solution of a two-point boundary value problem is avoided by the use of averaging optimal control. At last, the method is used to a three-level quantum system. The some analysis are given according to the simulation test results. |
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| Keywords: | optimal control quantum system averaging theorem |
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