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Distribution of Bell inequality violation vs. multiparty quantum correlation measures (1512.01477v1)
Published 4 Dec 2015 in quant-ph
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.