On possible violation of the CHSH Bell inequality in a classical context

TL;DR

This paper explores the rare possibility of violating the CHSH Bell inequality within a classical probabilistic framework, challenging the traditional quantum-classical boundary understanding.

Contribution

It demonstrates that classical probabilistic models can, under certain conditions, lead to violations of the CHSH Bell inequality, which is typically associated with quantum phenomena.

Findings

Small probability of classical violation of CHSH inequality

Classical probabilistic models can mimic quantum correlations

Estimation of violation likelihood in a random-walk framework

Abstract

It has been shown that there is a small possibility to experimentally violate the CHSH Bell inequality in a 'classical' context. The probability of such a violation has been estimated in the framework of a classical probabilistic model in the language of a random-walk representation.