Testing locality and noncontextuality with the lowest moments

dc.contributor.authorBednorz, Adam
dc.contributor.authorBednorz, Witolddeu
dc.contributor.authorBelzig, Wolfgang
dc.date.accessioned2014-03-26T09:30:50Zdeu
dc.date.available2014-03-26T09:30:50Zdeu
dc.date.issued2014
dc.description.abstractThe quest for fundamental tests of quantum mechanics is an ongoing effort.We here address the question of what are the lowest possible moments needed to prove quantum nonlocality and noncontextuality without any further assumptions — in particular, without the often assumed dichotomy. We first show that second-order correlations can always be explained by a classical noncontextual local-hidden-variable theory. Similar third-order correlations also cannot violate classical inequalities in general, except for a special state-dependent noncontextuality. However, we show that fourth-order correlations can violate locality and state-independent noncontextuality. Finally we obtain a fourth-order continuous-variable Bell inequality for position and momentum, which can be violated and might be useful in Bell tests, closing all loopholes simultaneously.eng
dc.description.versionpublished
dc.identifier.citationPhysical Review / A ; 89 (2014), 2. - 022125deu
dc.identifier.doi10.1103/PhysRevA.89.022125deu
dc.identifier.ppn403209676deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/26733
dc.language.isoengdeu
dc.legacy.dateIssued2014-03-26deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subject.ddc530deu
dc.titleTesting locality and noncontextuality with the lowest momentseng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
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  year={2014},
  doi={10.1103/PhysRevA.89.022125},
  title={Testing locality and noncontextuality with the lowest moments},
  number={2},
  volume={89},
  issn={1050-2947},
  journal={Physical Review A},
  author={Bednorz, Adam and Bednorz, Witold and Belzig, Wolfgang}
}
kops.citation.iso690BEDNORZ, Adam, Witold BEDNORZ, Wolfgang BELZIG, 2014. Testing locality and noncontextuality with the lowest moments. In: Physical Review A. 2014, 89(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.89.022125deu
kops.citation.iso690BEDNORZ, Adam, Witold BEDNORZ, Wolfgang BELZIG, 2014. Testing locality and noncontextuality with the lowest moments. In: Physical Review A. 2014, 89(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.89.022125eng
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kops.sourcefield.plainPhysical Review A. 2014, 89(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.89.022125deu
kops.sourcefield.plainPhysical Review A. 2014, 89(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.89.022125eng
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