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.",
}