Multipartite bound entanglement and three-setting Bell inequalities

Dagomir Kaszlikowski, L. C. Kwek, Jingling Chen, C.h. Oh
2002 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... nglement for all the states belonging to F. It is possible that these new entanglement witnesses could be generated by some Bell inequalities.
doi:10.1103/physreva.66.052309 fatcat:2ygjl3ms3zc7bidygh243px7g4