| 基于李雅普诺夫稳定性理论的最优量子控制 |
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| 引用本文： | 张媛媛,丛爽. 基于李雅普诺夫稳定性理论的最优量子控制[J]. 中国科学技术大学学报, 2008, 38(3): 331-336 |
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| 作者姓名： | 张媛媛 丛爽 |
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| 作者单位： | 中国科学技术大学自动化系,安徽合肥,230027 |
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| 基金项目： | 国家自然科学基金 , 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 利用宏观领域中双线性系统的设计方法，结合纯态量子系统的数学模型具有双线性系统形式的特点，通过选定的系统控制的性能指标，采用李雅普诺夫稳定性理论，提出了基于李雅普诺夫稳定性理论的量子系统最优控制策略；详细推导了最优控制律的设计过程；并在自旋1／2粒子上进行了系统仿真实验，结果验证了该方法的有效性，同时分析了不同参数的选择对系统控制效果的影响．
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| 关 键 词： | 双线性系统 纯态量子系统 最优控制 bilinear system pure state quantum system optimal control 李雅普诺夫 稳定性理论 最优 量子控制 theorem Lyapunov stability based control law quantum influence different parameters effects time Experimental results effectiveness design method particle system simulation experiments |
| 文章编号： | 0253-2778(2008)03-0331-06 |
| 修稿时间： | 2007-12-05 |
Optimal quantum control based on Lyapunov stability theorem |
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| ZHANG Yuan-yuan,CONG Shuang. Optimal quantum control based on Lyapunov stability theorem[J]. Journal of University of Science and Technology of China, 2008, 38(3): 331-336 |
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| Authors: | ZHANG Yuan-yuan CONG Shuang |
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| Abstract: | By means of the design method for bilinear systems in the macroscopic field in association with the characteristic that the mathematical model of pure state quantum system is bilinear, and of selecting the performance index of the controlled system, the optimal control strategy in quantum systems was proposed based on the Lyapunov stability theorem. The detailed design process of optimal control law was derived. Some simulation experiments were performed on a spin-1/2 particle system. Experimental results demonstrate the effectiveness of the method proposed. At the same time, the influence of different parameters on the system control effects is analyzed. |
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| Keywords: | bilinear system pure state quantum system optimal control |
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