The rank of contextuality

2023
journal article
article
5
cris.lastimport.wos2024-04-10T00:03:11Z
dc.abstract.enQuantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier of this resource, the rank of contextuality (RC). We define RC as the minimum number of non-contextual behaviors that are needed to simulate a contextual behavior. We show that the logarithm of RC is a natural contextuality measure satisfying several properties considered in the spirit of the resource-theoretic approach. The properties include faithfulness, monotonicity, and additivity under tensor product. We also give examples of how to construct contextual behaviors with an arbitrary value of RC exhibiting a natural connection between this quantifier and the arboricity of an underlying hypergraph. We also discuss exemplary areas of research in which the new measure appears as a natural quantifier.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznejpl
dc.contributor.authorHorodecki, Karolpl
dc.contributor.authorZhou, Jingfangpl
dc.contributor.authorStankiewicz, Maciejpl
dc.contributor.authorSalazar Vargas, Roberto - 429099 pl
dc.contributor.authorHorodecki, Pawełpl
dc.contributor.authorRaussendorf, Robertpl
dc.contributor.authorHorodecki, Ryszardpl
dc.contributor.authorRamanathan, Ravishankarpl
dc.contributor.authorTyhurst, Emilypl
dc.date.accessioned2023-11-27T14:26:46Z
dc.date.available2023-11-27T14:26:46Z
dc.date.issued2023pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number7pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume25pl
dc.identifier.articleid073003pl
dc.identifier.doi10.1088/1367-2630/acdf78pl
dc.identifier.eissn1367-2630pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/323751
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.encontextualitypl
dc.subject.enquantumpl
dc.subject.ennonlocalitypl
dc.subtypeArticlepl
dc.titleThe rank of contextualitypl
dc.title.journalNew Journal of Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T00:03:11Z
dc.abstract.enpl
Quantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier of this resource, the rank of contextuality (RC). We define RC as the minimum number of non-contextual behaviors that are needed to simulate a contextual behavior. We show that the logarithm of RC is a natural contextuality measure satisfying several properties considered in the spirit of the resource-theoretic approach. The properties include faithfulness, monotonicity, and additivity under tensor product. We also give examples of how to construct contextual behaviors with an arbitrary value of RC exhibiting a natural connection between this quantifier and the arboricity of an underlying hypergraph. We also discuss exemplary areas of research in which the new measure appears as a natural quantifier.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.authorpl
Horodecki, Karol
dc.contributor.authorpl
Zhou, Jingfang
dc.contributor.authorpl
Stankiewicz, Maciej
dc.contributor.authorpl
Salazar Vargas, Roberto - 429099
dc.contributor.authorpl
Horodecki, Paweł
dc.contributor.authorpl
Raussendorf, Robert
dc.contributor.authorpl
Horodecki, Ryszard
dc.contributor.authorpl
Ramanathan, Ravishankar
dc.contributor.authorpl
Tyhurst, Emily
dc.date.accessioned
2023-11-27T14:26:46Z
dc.date.available
2023-11-27T14:26:46Z
dc.date.issuedpl
2023
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
7
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
25
dc.identifier.articleidpl
073003
dc.identifier.doipl
10.1088/1367-2630/acdf78
dc.identifier.eissnpl
1367-2630
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/323751
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
contextuality
dc.subject.enpl
quantum
dc.subject.enpl
nonlocality
dc.subtypepl
Article
dc.titlepl
The rank of contextuality
dc.title.journalpl
New Journal of Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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