Implementation of non-local XOR function for coherent-state qubit

TL;DR

This paper proposes a linear optics-based method to implement a non-local XOR function for coherent-state qubits using GHZ-type entangled states, achieving a success probability of 50% in ideal conditions.

Contribution

It introduces a novel linear optics scheme for non-local XOR operation with detailed analysis of entangled state generation and decoherence effects.

Findings

Successful implementation of non-local XOR with 50% success rate in ideal case

Proposed generation of GHZ-type entangled coherent states

Analysis of decoherence effects on the scheme

Abstract

This work describes how to implement a non-local xor function for coherent-state qubit using only linear optics. The setup proposed does not use gates based on teleportation and it has probability of success equal to 0.5, in the lossless case, when the necessary entangled state is available. The key element that makes possible the realization of the non-local xor function is a tripartite GHZ-type entangled coherent state. Its generation is proposed firstly using an ideal lossless setup and secondly considering the decoherence caused by losses in the optical devices.