Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol

TL;DR

This paper introduces a protocol that simulates 3-partite GHZ quantum correlations using only 3 bits of classical communication, providing a new way to quantify their nonlocality.

Contribution

It presents the first bounded communication protocol for simulating all equatorial measurements on the 3-partite GHZ state, advancing understanding of multipartite nonlocality.

Findings

3 bits of communication suffice for simulation

First protocol for bounded communication simulation of GHZ correlations

Quantifies nonlocality of multipartite quantum states

Abstract

The simulation of quantum correlations with alternative nonlocal resources, such as classical communication, gives a natural way to quantify their nonlocality. While multipartite nonlocal correlations appear to be useful resources, very little is known on how to simulate multipartite quantum correlations. We present the first known protocol that reproduces 3-partite GHZ correlations with bounded communication: 3 bits in total turn out to be sufficient to simulate all equatorial Von Neumann measurements on the 3-partite GHZ state.