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Title: Multipartite nonlocal quantum correlations resistant to imperfections

Abstract

We use techniques for lower bounds on communication to derive necessary conditions in terms of detector efficiency or amount of superluminal communication for being able to reproduce with classical local hidden-variable theories the quantum correlations occurring in Einstein-Podolsky-Rosen (EPR) experiments in the presence of noise. We apply our method to an example involving n parties sharing a Greenberger-Horne-Zeilinger-type state on which they carry out local measurements. For this example, we show that for local hidden-variable theories to reproduce the quantum correlations, the amount of superluminal classical communication c and the detector efficiency {eta} are constrained by {eta}2{sup -c/n}{<=}O(n{sup -1/6}). This result holds even if the classical models are allowed to make an error with constant probability.

Authors:
; ; ;  [1];  [2];  [3]
  1. CWI and University of Amsterdam, P.O. Box 94079, 1090 GB Amsterdam (Netherlands)
  2. (Canada)
  3. (Belgium) and QUIC, Ecole Polytechnique, CP 165, Universite Libre de Bruxelles, 1050 Brussels (Belgium)
Publication Date:
OSTI Identifier:
20786666
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.012321; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; CORRELATIONS; DATA TRANSMISSION; EFFICIENCY; ERRORS; HIDDEN VARIABLES; MAGNETIC RESONANCE; PARAMAGNETISM; PROBABILITY

Citation Formats

Buhrman, Harry, Hoeyer, Peter, Roehrig, Hein, Massar, Serge, Department of Computer Science, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, and Laboratoire d'Information Quantique, Universite Libre de Bruxelles, CP 165/59, Avenue F. D. Roosevelt 50, 1050 Brussels. Multipartite nonlocal quantum correlations resistant to imperfections. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Buhrman, Harry, Hoeyer, Peter, Roehrig, Hein, Massar, Serge, Department of Computer Science, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, & Laboratoire d'Information Quantique, Universite Libre de Bruxelles, CP 165/59, Avenue F. D. Roosevelt 50, 1050 Brussels. Multipartite nonlocal quantum correlations resistant to imperfections. United States. doi:10.1103/PHYSREVA.73.0.
Buhrman, Harry, Hoeyer, Peter, Roehrig, Hein, Massar, Serge, Department of Computer Science, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, and Laboratoire d'Information Quantique, Universite Libre de Bruxelles, CP 165/59, Avenue F. D. Roosevelt 50, 1050 Brussels. Sun . "Multipartite nonlocal quantum correlations resistant to imperfections". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786666,
title = {Multipartite nonlocal quantum correlations resistant to imperfections},
author = {Buhrman, Harry and Hoeyer, Peter and Roehrig, Hein and Massar, Serge and Department of Computer Science, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4 and Laboratoire d'Information Quantique, Universite Libre de Bruxelles, CP 165/59, Avenue F. D. Roosevelt 50, 1050 Brussels},
abstractNote = {We use techniques for lower bounds on communication to derive necessary conditions in terms of detector efficiency or amount of superluminal communication for being able to reproduce with classical local hidden-variable theories the quantum correlations occurring in Einstein-Podolsky-Rosen (EPR) experiments in the presence of noise. We apply our method to an example involving n parties sharing a Greenberger-Horne-Zeilinger-type state on which they carry out local measurements. For this example, we show that for local hidden-variable theories to reproduce the quantum correlations, the amount of superluminal classical communication c and the detector efficiency {eta} are constrained by {eta}2{sup -c/n}{<=}O(n{sup -1/6}). This result holds even if the classical models are allowed to make an error with constant probability.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}