dc.contributor.author | Hall, Michael JW | |
dc.date.accessioned | 2017-05-03T16:06:10Z | |
dc.date.available | 2017-05-03T16:06:10Z | |
dc.date.issued | 2010 | |
dc.date.modified | 2012-07-27T03:14:51Z | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.doi | 10.1103/PhysRevA.82.062117 | |
dc.identifier.uri | http://hdl.handle.net/10072/42753 | |
dc.description.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. | |
dc.description.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 117269 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.publisher.place | United States | |
dc.relation.ispartofstudentpublication | N | |
dc.relation.ispartofpagefrom | 062117-1 | |
dc.relation.ispartofpageto | 062117-5 | |
dc.relation.ispartofissue | 6 | |
dc.relation.ispartofjournal | Physical Review A | |
dc.relation.ispartofvolume | 82 | |
dc.rights.retention | Y | |
dc.subject.fieldofresearch | Mathematical sciences | |
dc.subject.fieldofresearch | Physical sciences | |
dc.subject.fieldofresearch | Quantum information, computation and communication | |
dc.subject.fieldofresearch | Quantum physics not elsewhere classified | |
dc.subject.fieldofresearch | Chemical sciences | |
dc.subject.fieldofresearchcode | 49 | |
dc.subject.fieldofresearchcode | 51 | |
dc.subject.fieldofresearchcode | 510803 | |
dc.subject.fieldofresearchcode | 510899 | |
dc.subject.fieldofresearchcode | 34 | |
dc.title | Complementary contributions of indeterminism and signaling to quantum correlations | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.rights.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. | |
gro.date.issued | 2010 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Hall, Michael J. | |