Unified criteria for multipartite quantum nonlocality

TL;DR

This paper extends the framework of quantum nonlocality classification from bipartite to multipartite systems, deriving inequalities that distinguish different classes of nonlocal correlations with varying thresholds.

Contribution

It generalizes Wiseman's multipartite nonlocality criteria, introducing a family of inequalities to classify nonlocality levels in multipartite quantum systems.

Findings

Derived inequalities for multipartite nonlocality classes

Unified framework encompassing Bell nonlocality, steering, and entanglement

Introduced new nonlocality classes beyond traditional categories

Abstract

Wiseman and co-workers (Phys. Rev. Lett. 98, 140402, 2007) proposed a distinction between the nonlocality classes of Bell's nonlocality, steering and entanglement based on whether or not an overseer trusts each party in a bipartite scenario where they are asked to demonstrate entanglement. Here we extend that concept to the multipartite case and derive inequalities that progressively test for those classes of nonlocality, with different thresholds for each level. This framework includes the three classes of nonlocality above in special cases and introduces a family of others.