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dc.contributor.authorLiang, Yeong-Cherngen_US
dc.contributor.authorW. Spekkens, Roberten_US
dc.contributor.authorWiseman, Howarden_US
dc.date.accessioned2017-05-03T11:50:43Z
dc.date.available2017-05-03T11:50:43Z
dc.date.issued2011en_US
dc.date.modified2012-06-14T22:32:50Z
dc.identifier.issn03701573en_US
dc.identifier.doi10.1016/j.physrep.2011.05.001en_US
dc.identifier.urihttp://hdl.handle.net/10072/42574
dc.description.abstractIn 1960, the mathematician Ernst Specker described a simple example of nonclassical correlations, the counter-intuitive features of which he dramatized using a parable about a seer, who sets an impossible prediction task to his daughter's suitors. We revisit this example here, using it as an entr饠to three central concepts in quantum foundations: contextuality, Bell-nonlocality, and complementarity. Specifically, we show that Specker's parable offers a narrative thread that weaves together a large number of results, including the following: the impossibility of measurement-noncontextual and outcome-deterministic ontological models of quantum theory (the 1967 Kochen-Specker theorem), in particular, the recent state-specific pentagram proof of Klyachko; the impossibility of Bell-local models of quantum theory (Bell's theorem), especially the proofs by Mermin and Hardy and extensions thereof; the impossibility of a preparation-noncontextual ontological model of quantum theory; the existence of triples of positive operator valued measures (POVMs) that can be measured jointly pairwise but not triplewise. Along the way, several novel results are presented: a generalization of a theorem by Fine connecting the existence of a joint distribution over outcomes of counterfactual measurements to the existence of a measurement-noncontextual and outcome-deterministic ontological model; a generalization of Klyachko's proof of the Kochen-Specker theorem from pentagrams to a family of star polygons; a proof of the Kochen-Specker theorem in the style of Hardy's proof of Bell's theorem (i.e., one that makes use of the failure of the transitivity of implication for counterfactual statements); a categorization of contextual and Bell-nonlocal correlations in terms of frustrated networks; a derivation of a new inequality testing preparation noncontextuality; some novel results on the joint measurability of POVMs and the question of whether these can be modeled noncontextually. Finally, we emphasize that Specker's parable of the overprotective seer provides a novel type of foil to quantum theory, challenging us to explain why the particular sort of contextuality and complementarity embodied therein does not arise in a quantum world.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent752538 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_US
dc.publisherElsevier B.V.en_US
dc.publisher.placeNetherlandsen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom1en_US
dc.relation.ispartofpageto39en_US
dc.relation.ispartofissue1-2en_US
dc.relation.ispartofjournalPhysics Reportsen_US
dc.relation.ispartofvolume506en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Opticsen_US
dc.subject.fieldofresearchQuantum Physics not elsewhere classifieden_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchcode020604en_US
dc.subject.fieldofresearchcode020699en_US
dc.subject.fieldofresearchcode020603en_US
dc.titleSpecker's parable of the overprotective seer: A road to contextuality, nonlocality and complementarityen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2011 Elsevier. 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.en_US
gro.date.issued2011
gro.hasfulltextFull Text


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