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Multipartite bound entanglement and three-setting Bell inequalities
Citation
Kaszlikowski, D., Kwek, L. C., Chen, J. L., & Oh, C. H. (2002). Multipartite bound entanglement and three-setting Bell inequalities. Physical Review A, 66(5), Article 052309. http://doi.org/10.1103/PhysRevA.66.052309
Abstract
It was shown by Dur [Phys. Rev. Lett. 87, 230402 (2001)] that N (N>~4) qubits described by a certain one-parameter family F of bound entangled states violate the Mermin-Klyshko inequality for N>~8. In this paper we prove that the states from the family F violate Bell inequalities derived by Żukowski and Kaszlikowski [Phys. Rev. A 56, R1682 (1997)], in which each observer measures three noncommuting 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 entanglement witnesses could be generated by some Bell inequalities.
Date Issued
2002
Publisher
American Physical Society
Journal
Physical Review A