The exclusivity principle forbids sets of correlations larger than the quantum set

TL;DR

This paper demonstrates that the exclusivity principle can uniquely identify quantum correlations and exclude larger, non-quantum sets, especially in self-complementary and vertex-transitive graphs, advancing our understanding of quantum limits.

Contribution

It proves that the exclusivity principle alone can exclude correlations larger than quantum ones for certain graphs, providing a new foundational insight.

Findings

The E principle singles out quantum correlations for any exclusivity graph.

For self-complementary graphs, E principle excludes correlations larger than quantum.

For vertex-transitive graphs, E principle determines the maximum quantum correlations.

Abstract

We show that the exclusivity (E) principle singles out the set of quantum correlations associated to any exclusivity graph assuming the set of quantum correlations for the complementary graph. Moreover, we prove that, for self-complementary graphs, the E principle, by itself (i.e., without further assumptions), excludes any set of correlations strictly larger than the quantum set. Finally, we prove that, for vertex-transitive graphs, the E principle singles out the maximum value for the quantum correlations assuming only the quantum maximum for the complementary graph. This opens the door for testing the impossibility of higher-than-quantum correlations in experiments.