Unified approach to contextuality, non-locality, and temporal correlations

TL;DR

This paper presents a unified framework linking contextuality, non-locality, and temporal correlations through joint probability distributions, offering a method to translate and analyze different quantum tests.

Contribution

It introduces a general procedure to convert contextual scenarios into temporal and spatial tests, and constructs new Bell-type inequalities demonstrating the approach's broad applicability.

Findings

A joint probability distribution underpins Bell, contextuality, and Leggett-Garg tests.

A method to translate contextual scenarios into temporal and spatial forms.

Construction of a family of spatial Bell-type inequalities.

Abstract

We highlight the existence of a joint probability distribution as the common underpinning assumption behind Bell-type, contextuality, and Leggett-Garg-type tests. We then present a procedure to translate contextual scenarios into temporal Leggett-Garg-type and spatial Bell-type ones. To demonstrate the generality of this approach we construct a family of spatial Bell-type inequalities. We show that in Leggett-Garg scenario a necessary condition for contextuality in time is given by a violation of consistency conditions in Consistent Histories approach to quantum mechanics.