A stable Lyapunov-based control law is proposed for entanglement states preparation in this paper. Tbe mathematical model of a two-spin system is constructed in interaction picture. An average value of observable oper...A stable Lyapunov-based control law is proposed for entanglement states preparation in this paper. Tbe mathematical model of a two-spin system is constructed in interaction picture. An average value of observable operator is selected as the Lyapunov fllnction. This paper designs the observable operator to make sure that the target state is stable in Lyapunov sense. Then the authors analyze the convergence of the control system, and demonstrate that the Bell states are asymptotically stable under the control law designed. Compared with other methods, the control method proposed in this paper has the advantages of easy design and convergence to the target states. Numerical simulation experiments for the preparation of Bell states are implemented.展开更多
基金supported by the National Key Basic Research Program under Grant No.2009CB929601the National Science Foundation of China under Grant No.61074050
文摘A stable Lyapunov-based control law is proposed for entanglement states preparation in this paper. Tbe mathematical model of a two-spin system is constructed in interaction picture. An average value of observable operator is selected as the Lyapunov fllnction. This paper designs the observable operator to make sure that the target state is stable in Lyapunov sense. Then the authors analyze the convergence of the control system, and demonstrate that the Bell states are asymptotically stable under the control law designed. Compared with other methods, the control method proposed in this paper has the advantages of easy design and convergence to the target states. Numerical simulation experiments for the preparation of Bell states are implemented.