Optimal quantum control based on Lyapunov stability theory Zhang Yuanyuan Cong Shuang Abstract: By using the design method of bilinear system in macro field and combining the characteristics of bilinear system in the mathematical model of pure quantum system, the optimal control strategy of quantum system based on Lyapunov stability theory is proposed by selecting the performance index of system control; The design process of optimal control law is deduced in detail. The system simulation experiment is carried out on particles with the spin of 1/2, and the results verify the effectiveness of this method. At the same time, the influence of different parameters on the control effect of the system is analyzed.

Authors: Department of Automation, China University of Science and Technology; Department of Automation, China University of Science and Technology.

Key words: optimal control strategy of pure quantum system of bilinear system Lyapunov stability theory, mathematical model design method of quantum control, control performance index of optimal control law system

Fund: Supported by National Natural Science Foundation (60774098) and National Key Basic Research Project (2006cb922004).

Classification number: TP 13

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At present, the main methods of quantum system control include Lyapunov method, optimal control method, learning control method, state estimation method and stochastic control method [1~4]. Because optimal control is very important and effective.

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