Testing the Structure of Multipartite Entanglement with Bell Inequalities

Nicolas Brunner, James Sharam, and Tamás Vértesi
Phys. Rev. Lett. 108, 110501 – Published 12 March 2012
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Abstract

We show that the rich structure of multipartite entanglement can be tested following a device-independent approach. Specifically we present Bell inequalities for distinguishing between different types of multipartite entanglement, without placing any assumptions on the measurement devices used in the protocol, in contrast with usual entanglement witnesses. We first address the case of three qubits and present Bell inequalities that can be violated by W states but not by Greenberger-Horne-Zeilinger states, and vice versa. Next, we devise ’subcorrelation Bell inequalities’ for any number of parties, which can provably not be violated by a broad class of multipartite entangled states (generalizations of Greenberger-Horne-Zeilinger states), but for which violations can be obtained for W states. Our results give insight into the nonlocality of W states. The simplicity and robustness of our tests make them appealing for experiments.

  • Received 25 October 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.110501

© 2012 American Physical Society

Authors & Affiliations

Nicolas Brunner1, James Sharam2, and Tamás Vértesi3

  • 1H H Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, United Kingdom
  • 2Department of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
  • 3Institute of Nuclear Research of the Hungarian Academy of Sciences, H-4001 Debrecen, P. O. Box 51, Hungary

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Issue

Vol. 108, Iss. 11 — 16 March 2012

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