Distribution of Bell inequality violation vs. multiparty quantum correlation measures

TL;DR

This paper explores the relationship between Bell inequality violations and multipartite quantum correlations, establishing connections with monogamy properties and identifying extremal states like generalized GHZ states.

Contribution

It introduces a novel link between Bell violation monogamy and genuine multipartite entanglement, highlighting extremal states in these relations.

Findings

Generalized GHZ states are extremal in Bell violation correlations.

A connection between monogamy of Bell violation and multipartite entanglement is established.

Special GHZ states form a distinct class in these quantum correlation measures.

Abstract

Violation of a Bell inequality guarantees the existence of quantum correlations in a quantum state. A pure bipartite quantum state, having nonvanishing quantum correlation, always violates a Bell inequality. Such correspondence is absent for multipartite pure quantum states. For a shared multipartite quantum state, we establish a connection between the monogamy of Bell inequality violation and genuine multi-site entanglement as well as monogamy-based multiparty quantum correlation measures. We find that generalized Greenberger-Horne-Zeilinger states and another single-parameter family states which we refer to as the "special Greenberger-Horne-Zeilinger" states have the status of extremal states in such relations.