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Generalized control of quantum systems in the frame of vector treatment
Received:September 12,2007  Revised:October 24,2008
Keywords:Closed quantum system  Lyapunov technology  Invariance principle  Stability
Fund Project:
Sen KUANG, Shuang CONG Department of Automation, University of Science and Technology of China, Hefei Anhui 230027, China; Hefei National Laboratory for Physical Sciences at the Microscale, Hefei Anhui 230026, China 
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      For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.
Sen KUANG, Shuang CONG.Generalized control of quantum systems in the frame of vector treatment[J].Journal of Control Theory and Applications,2009,7(4):395~399.
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