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Science China Information Sciences

Global stabilization control of stochastic quantum systems

Shuang Cong, Jie Wen, Sen Kuang, Fangfang Meng

Published Oct 14, 2016• 22 citations
Publisher
DOI
10.1007/s11432-015-0911-7

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The global stabilization of mixed states for finite dimensional stochastic quantum systems with non-regular measurement operator and non-diagonal free Hamiltonian is investigated in this paper. A two-part switching control strategy is proposed, in which the constant control is used to steer the system state to enter the convergence domain, while the control law which is designed based on Lyapunov stability theorem is used to attract the system state in convergence domain to the target state. The convergence of the switching control is strictly proved. Moreover, the numerical experiments on a three dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the control proposed.