We propose a protocol to directly implement the nonlocal phase gate of N A-type three-level atoms trapped in distant cavities by using interference of polarized photons. The protocol uses the effects of quantum statistics of indistinguishable photons emitted by the atoms inside optical cavities.
We propose an effective protocol to direct implement the two-atom controlled phase gate with the cross-Kerr nonlinearity by interference of polarized photons.The protocol is based on optical elements,two Λ-type three-level atoms trappd in two distant cavities,cross-Kerr nonlinearity and the conventional photon detectors,which are feasible with existing experimental technology.The advantages of the protocol are that in Lamb-Dicke limit,the protocol do not require the simultaneous click of the detectors and has a high success probability.This makes the present protocol more realizable in experiments.