Smart generation of a tripartite GHZ-type state for coherent state qubit

This work describes how to implement probabilistically the entangled state (∣0 0 0〉 + ∣0 1 1〉 + ∣1 0 1〉 + ∣1 1 0〉)/2, for coherent state qubit, using only linear optics and measurements. Its creation is proposed firstly using an ideal lossless setup and secondly considering the decoherence caused by losses in the optical devices. The advantage of our scheme is the absence of single-qubit gates, photons counters and quantum teleportation, resources that are common in coherent state quantum information processing.