Quantum Bell Inequalities from Macroscopic Locality

TL;DR

This paper introduces a method to derive quantum Bell inequalities using the principle of Macroscopic Locality, linking classical and quantum correlations in bipartite systems with potential extensions.

Contribution

It presents a novel analytical approach to generate quantum Bell inequalities from Macroscopic Locality principles, enhancing understanding of quantum nonlocality.

Findings

Established a correspondence between Bell inequalities and quantum Bell inequalities.

Proposed a method to improve the approximation of quantum Bell inequalities.

Discussed extensions to scenarios with multiple outcomes per measurement setting.

Abstract

We propose a method to generate analytical quantum Bell inequalities based on the principle of Macroscopic Locality. By imposing locality over binary processings of virtual macroscopic intensities, we establish a correspondence between Bell inequalities and quantum Bell inequalities in bipartite scenarios with dichotomic observables. We discuss how to improve the latter approximation and how to extend our ideas to scenarios with more than two outcomes per setting.