Learning the Einstein-Podolsky-Rosen correlations on a Restricted Boltzmann Machine

TL;DR

This paper presents a Restricted Boltzmann Machine model that reproduces EPR correlations, violating Bell's inequality by sacrificing measurement independence rather than locality, offering a novel hidden-variable perspective.

Contribution

It introduces a hidden-variable model using a Restricted Boltzmann Machine that reproduces quantum correlations without violating locality.

Findings

Model reproduces EPR correlations

Violates Bell inequality via measurement independence

Maintains locality in the hidden-variable model

Abstract

We construct a hidden variable model for the EPR correlations using a Restricted Boltzmann Machine. The model reproduces the expected correlations and thus violates the Bell inequality, as required by Bell's theorem. Unlike most hidden-variable models, this model does not violate the $locality$ assumption in Bell's argument. Rather, it violates $measurement$ $independence$, albeit in a decidedly non-conspiratorial way.