Closing the detection loophole in multipartite Bell experiments with a limited number of efficient detectors

Kamil Kostrzewa, Wiesław Laskowski, Tamás Vértesi

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1 Citation (Scopus)

Abstract

The problem of closing the detection loophole in Bell tests is investigated in the presence of a limited number of efficient detectors using emblematic multipartite quantum states. To this end, a family of multipartite Bell inequalities is introduced based on local projective measurements conducted by N-k parties and applying a k-party Bell inequality on the remaining parties. Surprisingly, we find that most of the studied pure multipartite states involving, e.g., cluster states, the Dicke states, and the Greenberger-Horne-Zeilinger states can violate our inequalities with only the use of two efficient detectors, whereas the remaining detectors may have arbitrary small efficiencies. We believe that our inequalities are useful in Bell experiments and device-independent applications if only a small number of highly efficient detectors are at our disposal or our physical system is asymmetric, e.g., atom-photon.

Original languageEnglish
Article number012138
JournalPhysical Review A
Volume98
Issue number1
DOIs
Publication statusPublished - Jul 27 2018

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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