Scheme for implementing W state, Greenberger–Horne–Zeilinger state, and cluster state via cavity-assisted interaction

Abstract

We propose a proposal for preparing the entanglement state among four trapped atoms via cavity-assisted interaction. In this scheme, a basic architecture will be built to produce the entangled state of four remote atoms. By adjusting a series of parameters and taking the single-photon pulses measurement, the architecture can realize the W state, the Greenberger–Horne–Zeilinger state, and the cluster state. Further, this scheme is insensitive to variation of the atom–photon coupling rate.