Exclusivity principle and the quantum bound of the Bell inequality

TL;DR

This paper demonstrates that the combination of the exclusivity principle and two assumptions precisely determines the Tsirelson bound for the CHSH Bell inequality within general probabilistic theories with sharp measurements.

Contribution

It establishes a theoretical link between the exclusivity principle and the quantum limit of Bell inequalities, providing a new foundational insight.

Findings

The exclusivity principle, combined with two assumptions, singles out the Tsirelson bound.

Applicable to general probabilistic theories with sharp measurements.

Provides a foundational explanation for the quantum limit in Bell inequalities.

Abstract

We show that, for general probabilistic theories admitting sharp measurements, the exclusivity principle together with two assumptions exactly singles out the Tsirelson bound of the Clauser-Horne-Shimony-Holt Bell inequality.