Continuous-Variable Bell Inequalities in Phase Space

TL;DR

This paper introduces a new form of Bell inequalities tailored for continuous variables using phase space methods, demonstrating violations that surpass traditional quantum bounds.

Contribution

It develops a novel Bell inequality framework in phase space employing Wigner functions and Weyl symbols, showing violations beyond Cirelson's bound.

Findings

Bell inequality violations exceeding Cirelson's bound

Use of Wigner function and Weyl symbols in phase space

New approach for continuous-variable quantum nonlocality

Abstract

We propose a variation of Bell inequalities for continuous variables that employs the Wigner function and Weyl symbols of operators in phase space. We present examples of Bell inequality violation which beat Cirel'son's bound.