Abstract
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.
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