Zitierlink:
http://dx.doi.org/10.25819/ubsi/10124
DC Element | Wert | Sprache |
---|---|---|
crisitem.author.orcid | 0000-0002-5782-804X | - |
dc.contributor.author | Xu, Zhen-Peng | - |
dc.contributor.author | Yu, Xiao-Dong | - |
dc.contributor.author | Kleinmann, Matthias | - |
dc.date.accessioned | 2022-06-09T07:29:39Z | - |
dc.date.available | 2022-06-09T07:29:39Z | - |
dc.date.issued | 2021 | de |
dc.description | Finanziert aus dem Open-Access-Publikationsfonds der Universität Siegen für Zeitschriftenartikel | de |
dc.description.abstract | Virtually 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.doi | http://dx.doi.org/10.25819/ubsi/10124 | - |
dc.identifier.uri | https://dspace.ub.uni-siegen.de/handle/ubsi/2213 | - |
dc.identifier.urn | urn:nbn:de:hbz:467-22135 | - |
dc.language.iso | en | de |
dc.rights | Namensnennung 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.source | New journal of physics ; 23 (2021), 043025. - https://doi.org/10.1088/1367-2630/abe6e3 | de |
dc.subject.ddc | 530 Physik | de |
dc.subject.other | Quantum contextuality | en |
dc.subject.other | Nonunit rank | en |
dc.subject.other | Graph theoretic approach | en |
dc.subject.swb | Quantenzustand | de |
dc.subject.swb | Graphentheorie | de |
dc.title | State-independent quantum contextuality with projectors of nonunit rank | en |
dc.type | Article | de |
item.fulltext | With Fulltext | - |
ubsi.publication.affiliation | Department Physik | de |
ubsi.source.author | Deutsche Physikalische Gesellschaft | de |
ubsi.source.doi | 10.1088/1367-2630/abe6e3 | - |
ubsi.source.issn | 1367-2630 | - |
ubsi.source.issued | 2021 | de |
ubsi.source.issuenumber | 23 | de |
ubsi.source.pages | 17 | de |
ubsi.source.place | Bad Honnef | de |
ubsi.source.publisher | Deutsche Physikalische Gesellschaft | de |
ubsi.source.title | New journal of physics : the open-access journal for physics | de |
ubsi.subject.ghbs | UHHM | de |
Enthalten in den Sammlungen: | Geförderte Open-Access-Publikationen |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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State-independent_quantum_contextuality.pdf | 908.17 kB | Adobe PDF | ![]() Öffnen/Anzeigen |
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