Citation link: http://dx.doi.org/10.25819/ubsi/10124
DC FieldValueLanguage
crisitem.author.orcid0000-0002-5782-804X-
dc.contributor.authorXu, Zhen-Peng-
dc.contributor.authorYu, Xiao-Dong-
dc.contributor.authorKleinmann, Matthias-
dc.date.accessioned2022-06-09T07:29:39Z-
dc.date.available2022-06-09T07:29:39Z-
dc.date.issued2021de
dc.descriptionFinanziert aus dem Open-Access-Publikationsfonds der Universität Siegen für Zeitschriftenartikelde
dc.description.abstractVirtually all of the analysis of quantum contextuality is restricted to the case where events are represented by rank-one projectors. This restriction is arbitrary and not motivated by physical considerations. We show here that loosening the rank constraint opens a new realm of quantum contextuality and we demonstrate that state-independent contextuality (SIC) can even require projectors of nonunit rank. This enables the possibility of SIC with less than 13 projectors, which is the established minimum for the case of rank one. We prove that for any rank, at least 9 projectors are required. Furthermore, in an exhaustive numerical search we find that 13 projectors are also minimal for the cases where all projectors are uniformly of rank two or uniformly of rank three.en
dc.identifier.doihttp://dx.doi.org/10.25819/ubsi/10124-
dc.identifier.urihttps://dspace.ub.uni-siegen.de/handle/ubsi/2213-
dc.identifier.urnurn:nbn:de:hbz:467-22135-
dc.language.isoende
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceNew journal of physics ; 23 (2021), 043025. - https://doi.org/10.1088/1367-2630/abe6e3de
dc.subject.ddc530 Physikde
dc.subject.otherQuantum contextualityen
dc.subject.otherNonunit ranken
dc.subject.otherGraph theoretic approachen
dc.subject.swbQuantenzustandde
dc.subject.swbGraphentheoriede
dc.titleState-independent quantum contextuality with projectors of nonunit ranken
dc.typeArticlede
item.fulltextWith Fulltext-
ubsi.publication.affiliationDepartment Physikde
ubsi.source.authorDeutsche Physikalische Gesellschaftde
ubsi.source.doi10.1088/1367-2630/abe6e3-
ubsi.source.issn1367-2630-
ubsi.source.issued2021de
ubsi.source.issuenumber23de
ubsi.source.pages17de
ubsi.source.placeBad Honnefde
ubsi.source.publisherDeutsche Physikalische Gesellschaftde
ubsi.source.titleNew journal of physics : the open-access journal for physicsde
ubsi.subject.ghbsUHHMde
Appears in Collections:Publikationen aus der Universität Siegen
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