Multisetting Bell-type inequalities for detecting genuine multipartite entanglement

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27 Citations (Scopus)

Abstract

In a recent paper, Bancal put forward the concept of device-independent witnesses of genuine multipartite entanglement. These witnesses are capable of verifying genuine multipartite entanglement produced in a laboratory without resorting to any knowledge of the dimension of the state space or of the specific form of the measurement operators. As a by-product they found a multiparty three-setting Bell inequality which makes it possible to detect genuine n-partite entanglement in a noisy n-qubit Greenberger-Horne-Zeilinger (GHZ) state for visibilities as low as 2/3 in a device-independent way. In this paper, we generalize this inequality to an arbitrary number of settings, demonstrating a threshold visibility of 2/π∼0.6366 for number of settings going to infinity. We also present a pseudotelepathy Bell inequality achieving the same threshold value. We argue that our device-independent witnesses are optimal in the sense that for n odd the above value cannot be beaten with n-party-correlation Bell inequalities.

Original languageEnglish
Article number062123
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume83
Issue number6
DOIs
Publication statusPublished - Jun 29 2011

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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