Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension

TL;DR

This paper introduces a straightforward method to understand and generalize Bell-type inequalities for detecting genuine multipartite non-locality across any number of parties and system dimensions, enhancing the analysis of quantum entanglement.

Contribution

It presents a simple approach to Svetlichny's inequality and derives a family of inequalities for arbitrary multipartite systems, clarifying their structure and quantum violations.

Findings

New family of Bell-type inequalities for arbitrary multipartite systems

Clear understanding of Svetlichny's inequality structure

Analysis of quantum violations and tightness of inequalities

Abstract

The structure of Bell-type inequalities detecting genuine multipartite non-locality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite non-locality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally we discuss the thightness and quantum mechanical violations of these inequalities.