Quantum nonlocal correlations are not dominated

TL;DR

This paper demonstrates that no hypothetical probability distribution can be strictly more nonlocal than quantum correlations, as any stronger violation of Bell inequalities can be counterbalanced by weaker violations elsewhere, indicating quantum nonlocality is maximal.

Contribution

It proves that quantum correlations are maximally nonlocal in a balanced sense, preventing any distribution from surpassing quantum nonlocality overall.

Findings

No distribution exceeds quantum nonlocality in all measurement settings.

Quantum violations of CHSH are balanced; stronger violations in some settings imply weaker in others.

Quantum nonlocality is shown to be maximal and not surpassable by any alternative distribution.

Abstract

We show that no probability distribution of spin measurement outcomes on pairs of spin 1/2 particles is unambiguously more nonlocal than the quantum correlations. That is, any distribution that produces a CHSH violation larger than the quantum violation for some axis choices also produces a smaller CHSH violation for some other axis choices. In this sense, it is not possible for nature to be strictly more nonlocal than quantum theory allows.