Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities

Abstract

It was shown in Phys. Rev. Lett., 87, 230402 (2001) that N (N >= 4) qubits described by a certain one parameter family F of bound entangled states violate Mermin-Klyshko inequality for N >= 8. In this paper we prove that the states from the family F violate Bell inequalities derived in Phys. Rev. A, 56, R1682 (1997), in which each observer measures three non-commuting sets of orthogonal projectors, for N >=7. We also derive a simple one parameter family of entanglement witnesses that detect entanglement for all the states belonging to F. It is possible that these new entanglement witnesses could be generated by some Bell inequalities.

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References in corpus (9)

• Bell inequalities for arbitrarily high dimensional systems
• Quantum non-locality in two three-level systems
• Spectral decomposition of Bell's operators for qubits
• Multipartite bound entangled states that violate Bell's inequality
• Do all pure entangled states violate Bell's inequalities for correlation functions?
• Distillability via protocols respecting the positivity of partial transpose
• Distillability, Bell inequalities and multiparticle bound entanglement
• Characterization of Distillable and Activable States using Entanglement Witnesses
• A note on bound entanglement and local realism

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