Witnessing Genuine Mutipartite Non-locality

TL;DR

This paper introduces a Hardy-type argument to detect genuine multipartite nonlocality in quantum systems, analyzing its effectiveness within generalized no-signaling theories to enhance quantum cryptography security.

Contribution

It proposes a novel Hardy-type criterion for identifying genuine n-way nonlocality and evaluates its optimal success probability in generalized no-signaling frameworks.

Findings

The Hardy-type argument effectively detects genuine multipartite nonlocality.

Optimal success probability is characterized within generalized no-signaling theories.

The method enhances understanding of nonlocality detection in quantum cryptography.

Abstract

Genuine multipartite nonlocality is a salient feature of quantum systems, empowering the security of multi-party device independent cryptographic protocols. Given a correlation, characterizing and detecting genuineness have been subjected to recent studies. In this regard, we propose a Hardy-type argument which is able to detect genuine $n$-way nonlocality of arbitrary quantum systems. To understand the strength of this argument we also study the optimal success probability of the argument in a minimally constrained theory, namely the generalized no-signaling theory.