Fast generation of GHZ state by designing the evolution operators with Rydberg superatom

In this paper, we propose an efficient scheme to fast generate three-particle Greenberger–Horne–Zeilinger (GHZ) state based on quantum Zeno dynamics and designing the evolution operators with Rydberg superatom. In the present scheme, the quantum information is encoded in the collective states of superatom which contains n individual four-level inverted Y-type Rydberg atoms, and the Rabi frequency can be fitted to a Gaussian function, which favors experimental feasibility. In addition, the influence of various decoherence factors such as atomic spontaneous emission, cavity decay and fiber leakage is also considered. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection. At last, we generalize this scheme to the generation of N-particle GHZ state.