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

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

2002-06-06

arxiv.org/abs/quant-ph/0206031v1

Physics

Quantum Physics

Revtex4, 1 figure

Scientific paper

10.1103/PhysRevA.66.052309

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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