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.
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.
基金
Supported by the National Science Foundation of China(60774098)
the National Key Basic Research Program(2006CB922004)
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
