corner
corner

Phys. Rev. A 66, 052309 (2002) [5 pages]

Multipartite bound entanglement and three-setting Bell inequalities

Download: PDF (91 kB) Buy this article Export: BibTeX or EndNote (RIS)

Dagomir Kaszlikowski1, L. C. Kwek1,2, Jingling Chen1, and C.h. Oh1
1Department of Physics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
2National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 639798

Received 27 June 2002; published 18 November 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.052309
DOI:
10.1103/PhysRevA.66.052309
PACS:
03.67.-a