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dc.contributor.authorHall, Michael JW
dc.date.accessioned2017-05-03T16:06:10Z
dc.date.available2017-05-03T16:06:10Z
dc.date.issued2010
dc.date.modified2012-07-27T03:14:51Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.82.062117
dc.identifier.urihttp://hdl.handle.net/10072/42753
dc.description.abstractSimple 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.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent117269 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom062117-1
dc.relation.ispartofpageto062117-5
dc.relation.ispartofissue6
dc.relation.ispartofjournalPhysical Review A
dc.relation.ispartofvolume82
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum information, computation and communication
dc.subject.fieldofresearchQuantum physics not elsewhere classified
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode510803
dc.subject.fieldofresearchcode510899
dc.subject.fieldofresearchcode34
dc.titleComplementary contributions of indeterminism and signaling to quantum correlations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - 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.issued2010
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


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