Quantum correlations from simple assumptions

TL;DR

This paper derives quantum correlations for Bell and Kochen-Specker scenarios from basic assumptions, unifying nonlocality and contextuality using graph theory.

Contribution

It introduces a unified framework deriving quantum correlations from simple, general assumptions applicable to both Bell and KS scenarios.

Findings

Quantum correlations match those predicted by quantum theory.

A unified graph-theoretic approach to Bell and KS scenarios.

Correlations are derived from assumptions of nonempty sets and independence.

Abstract

We address the problem of deriving the set of quantum correlations for every Bell and Kochen-Specker (KS) contextuality scenario from simple assumptions. We show that the correlations that are possible according to quantum theory are equal to those possible under the assumptions that there is a nonempty set of correlations for every KS scenario and a statistically independent realization of any two KS experiments. The proof uses tools of the graph-theoretic approach to correlations and deals with Bell nonlocality and KS contextuality in a unified way.