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Multipartite bound entanglement and multisetting Bell inequalities

Source: Phys. Rev. A 80, 032330 (2009); doi:10.1103/PhysRevA.80.032330

Published 28 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • 42.50.Dv
    Quantum state engineering and measurements (quantum optics)
  • YEAR: 2009
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PUBLICATION DATA
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Dong Pyo Chi,1 Kabgyun Jeong,2 Taewan Kim,1 Kyungjin Lee,1 and Soojoon Lee3
1Department of Mathematical Sciences, Seoul National University, Seoul 151-742, Korea
2Nano Systems Institute (NSI-NCRC), Seoul National University, Seoul 151-742, Korea
3Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Korea
Dür [Phys. Rev. Lett. 87, 230402 (2001)] constructed N-qubit bound entangled states which violate a Bell inequality for N>=8, and his result was recently improved by showing that there exists an N-qubit bound entangled state violating the same Bell inequality if and only if N>=6 [Phys. Rev. A 79, 032309 (2009)]. On the other hand, it has been also shown that the states which Dür considered violate Bell inequalities different from the inequality for N>=6. In this paper, by employing different forms of Bell inequalities, in particular, a specific form of Bell inequalities with M settings of the measuring apparatus for sufficiently large M, we prove that there exists an N-qubit bound entangled state violating the M-setting Bell inequality if and only if N>=4. ©2009 The American Physical Society
History: Received 7 May 2009; published 28 September 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e032330

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