Complementary contributions of indeterminism and signaling to quantum correlations

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Title Complementary contributions of indeterminism and signaling to quantum correlations
Author Hall, Michael
Journal Name Physical Review A
Year Published 2010
Place of publication United States
Publisher American Physical Society
Abstract Simple quantitative measures of indeterminism and signaling, I and S, are defined for models of statistical correlations. It is shown that any such model satisfies a generalized Bell-type inequality, with tight upper bound B(I,S). This upper bound explicitly quantifies the complementary contributions required from indeterminism and signaling, for modeling any given violation of the standard Bell–Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality. For example, all models of the maximum quantum violation must either assign no more than 80% probability of occurrence to some underlying event, and/or allow a nonlocal change of at least 60% in an underlying marginal probability of one observer in response to a change in measurement setting by a distant observer. The results yield a corresponding complementarity relation between the numbers of local random bits and nonlocal signaling bits required to model a given violation. A stronger relation is conjectured for simulations of singlet states. Signaling appears to be a useful resource only if a “gap” condition is satisfied, corresponding to being able to nonlocally flip some underlying marginal probability p to its complementary value 1-p.
Peer Reviewed Yes
Published Yes
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Copyright Statement Copyright 2010 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 82
Issue Number 6
Page from 062117-1
Page to 062117-5
ISSN 1050-2947
Date Accessioned 2011-12-05
Date Available 2012-07-27T03:14:51Z
Language en_US
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication; Quantum Physics
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1x

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