There is no anomaly in the nonlocality of two entangled qutrits

TL;DR

This paper argues that the perceived anomaly between entanglement and nonlocality in two entangled qutrits is due to measurement artifacts, and demonstrates that maximal entanglement aligns with maximal nonlocality when using a new measure.

Contribution

It introduces a new measure of nonlocality that clarifies the relationship between entanglement and nonlocality in qutrit systems, resolving previous discrepancies.

Findings

Maximal entanglement corresponds to maximal nonlocality with the new measure.

The anomaly is likely an artifact of previous measures of nonlocality.

The results apply to pairs of qutrits and four-level systems.

Abstract

There is no doubt about the fact that entanglement and nonlocality are distinct resources. It is acknowledged that a clear illustration of this point is the difference between maximally entangled states and states that maximally violate a Bell inequality. We give strong evidence that this anomaly may be an artefact of the measures that have been used to quantify nonlocality. By reasoning that the numeric value of a Bell function is akin to a witness rather than a quantifier, we define a measure of nonlocality and show that, for pairs of qutrits and of four-level systems, maximal entanglement does correspond to maximal nonlocality in the same scenario that gave rise to the discrepancy.