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- Publisher Website: 10.1088/1367-2630/acdf78
- Scopus: eid_2-s2.0-85164916994
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Article: The rank of contextuality
| Title | The rank of contextuality |
|---|---|
| Authors | |
| Keywords | contextuality nonlocality quantum |
| Issue Date | 10-Jul-2023 |
| Publisher | IOP Publishing |
| Citation | New Journal of Physics, 2023, v. 25, n. 7 How to Cite? |
| Abstract | 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. |
| Persistent Identifier | http://hdl.handle.net/10722/338731 |
| ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.090 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Horodecki, Karol | - |
| dc.contributor.author | Zhou, Jingfang | - |
| dc.contributor.author | Stankiewicz, Maciej | - |
| dc.contributor.author | Salazar, Roberto | - |
| dc.contributor.author | Horodecki, Paweł | - |
| dc.contributor.author | Raussendorf, Robert | - |
| dc.contributor.author | Horodecki, Ryszard | - |
| dc.contributor.author | Ramanathan, Ravishankar | - |
| dc.contributor.author | Tyhurst, Emily | - |
| dc.date.accessioned | 2024-03-11T10:31:07Z | - |
| dc.date.available | 2024-03-11T10:31:07Z | - |
| dc.date.issued | 2023-07-10 | - |
| dc.identifier.citation | New Journal of Physics, 2023, v. 25, n. 7 | - |
| dc.identifier.issn | 1367-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/338731 | - |
| dc.description.abstract | <p>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.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | IOP Publishing | - |
| dc.relation.ispartof | New Journal of Physics | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | contextuality | - |
| dc.subject | nonlocality | - |
| dc.subject | quantum | - |
| dc.title | The rank of contextuality | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1088/1367-2630/acdf78 | - |
| dc.identifier.scopus | eid_2-s2.0-85164916994 | - |
| dc.identifier.volume | 25 | - |
| dc.identifier.issue | 7 | - |
| dc.identifier.eissn | 1367-2630 | - |
| dc.identifier.isi | WOS:001025397700001 | - |
| dc.identifier.issnl | 1367-2630 | - |