Operational approach to bilocality with joint probability distributions

TL;DR

This paper introduces an operational framework using quasi-probability distributions to analyze bilocality, revealing the necessity of negative probabilities for violations and exploring the relationship with local correlations.

Contribution

It presents a novel operational approach to bilocality using quasi-probabilities, emphasizing the role of negative probabilities and extending to N-locality.

Findings

Negative probabilities are necessary to violate bilocality.

The approach clarifies the relationship between bilocal and local correlations.

Method can be extended to N-locality studies.

Abstract

We show an operational approach to bilocality with quasi-probability distributions and quasi-stochastic processes. This approach clearly demonstrates that negative probabilities are necessary to violate bilocality. It also highlights a subtle interplay between bilocal and local correlations and it can be easily extended to study N-locality.