A scheme is proposed for preparing Greenberger-Horne-Zeilinger (GHZ) states by Lyapunov control based on quantum Zeno dynamics. The advantage of our method is that we use the square pulse to instead of the time-varying control fields and optimal the control processing which is shorter than the stimulated Raman adiabatic passage. The influence of cavity decay and spontaneous emission also be taken in account, the numerical simulation results show that it is immune to the cavity decay and emission of laser pulses. Additionally, we analyzed the preparation of the N-atom GHZ states with the same principle, which provides a scalable method for multi-qubit system in future.

提出了一种基于量子芝诺动力学的李雅普诺夫控制方法来制备格林伯格-荷恩-泽林格（GHZ）态的方案。我们方法的优点是，我们使用方脉冲代替时变控制场，并优化了比受激拉曼绝热通道短的控制过程。同时考虑了腔衰变和自发发射的影响，数值模拟结果表明，它不受腔衰变和激光脉冲发射的影响。此外，我们以相同的原理分析了N原子GHZ态的制备，为将来的多量子位系统提供了一种可扩展的方法。