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Testing locality and noncontextuality with the lowest moments

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BEDNORZ, Adam, Witold BEDNORZ, Wolfgang BELZIG, 2014. Testing locality and noncontextuality with the lowest moments. In: Physical Review A. 89(2). ISSN 1050-2947. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.89.022125

@article{Bednorz2014Testi-26733, title={Testing locality and noncontextuality with the lowest moments}, year={2014}, doi={10.1103/PhysRevA.89.022125}, number={2}, volume={89}, issn={1050-2947}, journal={Physical Review A}, author={Bednorz, Adam and Bednorz, Witold and Belzig, Wolfgang} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Bednorz, Adam</dc:contributor> <dspace:hasBitstream rdf:resource=""/> <dcterms:title>Testing locality and noncontextuality with the lowest moments</dcterms:title> <dcterms:abstract xml:lang="eng">The 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.</dcterms:abstract> <dcterms:issued>2014</dcterms:issued> <dcterms:hasPart rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:rights>terms-of-use</dc:rights> <dc:date rdf:datatype="">2014-03-26T09:30:50Z</dc:date> <dc:creator>Bednorz, Adam</dc:creator> <dc:language>eng</dc:language> <bibo:uri rdf:resource=""/> <dcterms:isPartOf rdf:resource=""/> <dcterms:available rdf:datatype="">2014-03-26T09:30:50Z</dcterms:available> <dcterms:rights rdf:resource=""/> <dc:contributor>Belzig, Wolfgang</dc:contributor> <dc:creator>Belzig, Wolfgang</dc:creator> <dc:creator>Bednorz, Witold</dc:creator> <dcterms:bibliographicCitation>Physical Review / A ; 89 (2014), 2. - 022125</dcterms:bibliographicCitation> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Bednorz, Witold</dc:contributor> </rdf:Description> </rdf:RDF>

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