Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement

TL;DR

This paper introduces a tight Bell inequality for high-dimensional systems, demonstrating maximal violations with maximally entangled states and applicability to continuous variables, advancing quantum nonlocality tests.

Contribution

It presents a new tight Bell inequality for high-dimensional and continuous variable systems, with a novel binning method and evidence of maximal violations.

Findings

Maximal violation achieved with maximally entangled states

Applicable to continuous variable systems with strong violations

Provides a new tool for testing quantum nonlocality in high dimensions

Abstract

We propose a Bell inequality for high-dimensional bipartite systems obtained by binning local measurement outcomes and show that it is tight. We find a binning method for even d-dimensional measurement outcomes for which this Bell inequality is maximally violated by maximally entangled states. Furthermore, we demonstrate that the Bell inequality is applicable to continuous variable systems and yields strong violations for two-mode squeezed states.