APS -APS March Meeting 2017 - Event - Distribution of Bell-inequality violation versus multiparty-quantum-correlation measures

摘要

Violation of a Bell inequality guarantees the existence of quantum correlations in a shared 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 in the case of multipartite correlationfunction Bell inequalities with two settings at each site. We establish a connection between the monogamy ofBell-inequality violation and multiparty quantum correlations for shared multisite quantum states. We believethat the relation is generic, as it is true for a number of different multisite measures that are defined fromradically different perspectives. Precisely, we quantify the multisite-quantum-correlation content in the statesby generalized geometric measure, a genuine multisite entanglement measure, as well as three monogamybasedmultiparty-quantum-correlation measures, viz., 3-tangle, quantum-discord score, and quantum-work-deficitscore. We find that generalized Greenberger-Horne-Zeilinger states and another single-parameter family of states,which we refer to as the special Greenberger-Horne-Zeilinger states, have the status of extremal states in suchrelations.