Is non-locality stronger in higher dimensions?

TL;DR

This paper critically examines a proposed measure of non-locality in quantum physics, revealing it to be flawed as it does not accurately identify maximally non-local Bell states, challenging its claimed strength and generality.

Contribution

The paper provides a critique of a previous non-locality measure, demonstrating its failure to correctly identify certain maximally non-local states, thus questioning its validity.

Findings

The proposed non-locality measure is not universally accurate.

It fails to identify a large family of maximally non-local Bell states.

The critique challenges the perceived strength and generality of the measure.

Abstract

A critique of a prescription of non-locality in [Phys. Rev. Lett. 85, 4418 (2000)], [Phys. Rev. Lett. 88, 040404 (2002)], [Phys. Rev. Lett. 92, 130404 (2004)] that appears to be stronger and more general than the Bell-CHSH formulation is presented. It is shown that, contrary to expectations, this prescription fails to correctly identify a large family of maximally non-local Bell states.