How Much Measurement Independence Is Needed to Demonstrate Nonlocality?

Authors:Jonathan Barrett, Nicolas Gisin
Journal:Phys. Rev. Lett. 106, 100406 (2011)
DOI:http://dx.doi.org/10.1103/PhysRevLett.106.100406
Abstract:If nonlocality is to be inferred from a violation of Bell’s inequality, an important assumption is that the measurement settings are freely chosen by the observers, or alternatively, that they are random and uncorrelated with the hypothetical local variables. We demonstrate a connection between models that weaken this assumption, allowing partial correlation, and (i) models that allow classical communication between the distant parties, (ii) models that exploit the detection loophole. Even if Bob’s choices are completely independent, all correlations from projective measurements on a singlet can be reproduced, with mutual information between Alice’s choice and local variables less than or equal to one bit.
File:physrevlett.106.100406.pdf

BibTeX Source

@Article{PhysRevLett.106.100406,
  title =        "How Much Measurement Independence Is Needed to Demonstrate Nonlocality?",
  author =       "Jonathan Barrett and Nicolas Gisin",
  journal =      "Phys. Rev. Lett.",
  volume =       "106",
  number =       "10",
  pages =        "100406",
  numpages =     "4",
  year =         "2011",
  month =        mar,
  doi =          "10.1103/PhysRevLett.106.100406",
  publisher =    "American Physical Society",
  abstract =     "If nonlocality is to be inferred from a violation of Bell’s inequality, an
                 important assumption is that the measurement settings are freely chosen by the
                 observers, or alternatively, that they are random and uncorrelated with the
                 hypothetical local variables. We demonstrate a connection between models that
                 weaken this assumption, allowing partial correlation, and (i) models that allow
                 classical communication between the distant parties, (ii) models that exploit the
                 detection loophole. Even if Bob’s choices are completely independent, all
                 correlations from projective measurements on a singlet can be reproduced, with
                 mutual information between Alice’s choice and local variables less than or equal
                 to one bit.",
}
publications/bib/barett2011.txt · Last modified: 2011/03/11 13:26 by christoph
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