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The rank of contextuality
contextuality
quantum
nonlocality
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.
cris.lastimport.wos | 2024-04-10T00:03:11Z | |
dc.abstract.en | 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. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej | pl |
dc.contributor.author | Horodecki, Karol | pl |
dc.contributor.author | Zhou, Jingfang | pl |
dc.contributor.author | Stankiewicz, Maciej | pl |
dc.contributor.author | Salazar Vargas, Roberto - 429099 | pl |
dc.contributor.author | Horodecki, Paweł | pl |
dc.contributor.author | Raussendorf, Robert | pl |
dc.contributor.author | Horodecki, Ryszard | pl |
dc.contributor.author | Ramanathan, Ravishankar | pl |
dc.contributor.author | Tyhurst, Emily | pl |
dc.date.accessioned | 2023-11-27T14:26:46Z | |
dc.date.available | 2023-11-27T14:26:46Z | |
dc.date.issued | 2023 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 7 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 25 | pl |
dc.identifier.articleid | 073003 | pl |
dc.identifier.doi | 10.1088/1367-2630/acdf78 | pl |
dc.identifier.eissn | 1367-2630 | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/323751 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
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.en | contextuality | pl |
dc.subject.en | quantum | pl |
dc.subject.en | nonlocality | pl |
dc.subtype | Article | pl |
dc.title | The rank of contextuality | pl |
dc.title.journal | New Journal of Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |