DOAJ Open Access 2023

The rank of contextuality

Karol Horodecki Jingfang Zhou Maciej Stankiewicz Roberto Salazar Paweł Horodecki +4 lainnya

Abstrak

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.

Topik & Kata Kunci

Science Physics

Penulis (9)

Karol Horodecki

Jingfang Zhou

Maciej Stankiewicz

Roberto Salazar

Paweł Horodecki

Robert Raussendorf

Ryszard Horodecki

Ravishankar Ramanathan

Emily Tyhurst

Format Sitasi

APA MLA BibTeX

Horodecki, K., Zhou, J., Stankiewicz, M., Salazar, R., Horodecki, P., Raussendorf, R. et al. (2023). The rank of contextuality. https://doi.org/10.1088/1367-2630/acdf78

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1088/1367-2630/acdf78
Akses: Open Access ✓