Simulating GHZ Correlations Relaxing Physical Constraints

TL;DR

This paper presents a method to simulate three-qubit GHZ correlations by relaxing determinism and no signaling constraints, quantifying the minimal indeterminism and signaling needed as resources.

Contribution

It introduces a novel simulation procedure that relaxes two key physical constraints simultaneously and quantifies the resources required for such simulation.

Findings

Minimum indeterminism and signaling levels identified

Quantification of mutual information needed for simulation

Resource trade-offs for simulating GHZ correlations

Abstract

Violation of Bell inequality (or, Bell-type inequalities) by nonlocal correlations is justified by relaxation of at least one of the plausible physical constraints used to model such inequality. Based on this fact, in this letter we present a procedure to simulate three-qubit GHZ correlation relaxing two constraints, determinism and no signaling simultaneously. We have also derived the minimum amount of indeterminism and signaling to be introduced in a system. The corresponding number of signaling and local bits of mutual information needed to communicate are also provided and thus we are able to focus on utility of relaxation of these two constraints as useful resources.