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dc.contributor.authorHe, QY
dc.contributor.authorCavalcanti, EG
dc.contributor.authorReid, MD
dc.contributor.authorDrummond, PD
dc.date.accessioned2021-05-27T00:40:08Z
dc.date.available2021-05-27T00:40:08Z
dc.date.issued2010
dc.date.modified2010-07-15T09:45:53Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.81.062106
dc.identifier.urihttp://hdl.handle.net/10072/31989
dc.description.abstractTests of local hidden-variable theories using measurements with continuous-variable (CV) outcomes are developed, and a comparison of different methods is presented. As examples, we focus on multipartite entangled Greenberger-Horne-Zeilinger and cluster states. We suggest a physical process that produces the states proposed here, and investigate experiments both with and without binning of the continuous variable. In the former case, the Mermin-Klyshko inequalities can be used directly. For unbinned outcomes, the moment-based Cavalcanti-Foster-Reid-Drummond inequalities are extended to functional inequalities by consideration of arbitrary functions of the measurements at each site. By optimizing these functions, we obtain more robust violations of local hidden-variable theories than with either binning or moments. Recent inequalities based on the algebra of quaternions and octonions are compared with these methods. Since the prime advantage of CV experiments is to provide a route to highly efficient detection via homodyne measurements, we analyze the effect of noise and detection losses in both binned and unbinned cases. The CV moment inequalities with an optimal function have greater robustness to both loss and noise. This could permit a loophole-free test of Bell inequalities.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom062106-1
dc.relation.ispartofpageto062106-15
dc.relation.ispartofjournalPhysical Review A (Atomic, Molecular and Optical Physics)
dc.relation.ispartofvolume81
dc.rights.retentionY
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum information, computation and communication
dc.subject.fieldofresearchQuantum optics and quantum optomechanics
dc.subject.fieldofresearchFoundations of quantum mechanics
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode510803
dc.subject.fieldofresearchcode510804
dc.subject.fieldofresearchcode510802
dc.titleBell inequalities for continuous-variable measurements
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dc.description.versionAccepted Manuscript (AM)
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.authorCavalcanti, Eric G.


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