Academic Journal
Bell nonlocality using tensor networks and sparse recovery
| العنوان: | Bell nonlocality using tensor networks and sparse recovery |
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| المؤلفون: | Eliëns, Ian Sebastiaan, Brito, S. G. A., Araújo, Rafael Chaves Souto |
| بيانات النشر: | American Physical Society |
| سنة النشر: | 2020 |
| المجموعة: | Universidade Federal do Rio Grande do Norte: Repositório Institucional (RI UFRN) |
| مصطلحات موضوعية: | Quantum entanglement, Quantum nonlocality |
| الوصف: | Bell’s theorem, stating that quantum predictions are incompatible with a local hidden variable description, is a cornerstone of quantum theory and at the center of many quantum information processing protocols. Over the years, different perspectives on nonlocality have been put forward as well as different ways to detect nonlocality and quantify it. Unfortunately, and in spite of its relevance, as the complexity of the Bell scenario increases, deciding whether a given observed correlation is nonlocal becomes computationally intractable. Here, we propose to analyze a Bell scenario as a tensor network, a perspective permitting us to test and quantify nonlocality, resorting to very efficient algorithms originating from compressed sensing and that offer a significant speedup in comparison with standard linear programming methods. We use that all nonsignaling correlations can be described by hidden variable models governed by a quasiprobability, a fact we prove with simple linear algebra methods |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2643-1564 |
| Relation: | ELIËNS, I. S.; BRITO, S. G. A.; CHAVES, R. Bell nonlocality using tensor networks and sparse recovery. Physical Review Research, [S.L.], v. 2, n. 2, p. 023198, 20 maio 2020. Disponível em: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.023198. Acesso em: 03 set. 2020. http://dx.doi.org/10.1103/physrevresearch.2.023198.; https://repositorio.ufrn.br/jspui/handle/123456789/30095 |
| DOI: | 10.1103/physrevresearch.2.023198 |
| الاتاحة: | https://repositorio.ufrn.br/jspui/handle/123456789/30095 https://doi.org/10.1103/physrevresearch.2.023198 |
| Rights: | Attribution 3.0 Brazil ; http://creativecommons.org/licenses/by/3.0/br/ |
| رقم الانضمام: | edsbas.A946FD8C |
| قاعدة البيانات: | BASE |
| تدمد: | 26431564 |
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| DOI: | 10.1103/physrevresearch.2.023198 |