A Physical Approach to Tsirelson's Problem
| dc.contributor.author | Navascués Cobo, Miguel | |
| dc.contributor.author | Cooney, T. | |
| dc.contributor.author | Pérez García, David | |
| dc.contributor.author | Villanueva, N. | |
| dc.date.accessioned | 2023-06-20T00:21:27Z | |
| dc.date.available | 2023-06-20T00:21:27Z | |
| dc.date.issued | 2012-08 | |
| dc.description.abstract | Tsirelson's problem deals with how to model separate measurements in quantum mechanics. In addition to its theoretical importance, the resolution of Tsirelson's problem could have great consequences for device independent quantum key distribution and certified randomness. Unfortunately, understanding present literature on the subject requires a heavy mathematical background. In this paper, we introduce quansality, a new theoretical concept that allows to reinterpret Tsirelson's problem from a foundational point of view. Using quansality as a guide, we recover all known results on Tsirelson's problem in a clear and intuitive way. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Unión Europea. FP7 | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN) | |
| dc.description.sponsorship | Ministerio de Educación | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17485 | |
| dc.identifier.doi | 10.1007/s10701-012-9641-0 | |
| dc.identifier.issn | 0015-9018 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/n0241731q6r31710/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42449 | |
| dc.issue.number | 8 | |
| dc.journal.title | Foundations of Physics | |
| dc.language.iso | eng | |
| dc.page.final | 995 | |
| dc.page.initial | 985 | |
| dc.publisher | Springer | |
| dc.relation.projectID | QUEVADIS (233859) | |
| dc.relation.projectID | QUITEMAD-CM (S2009/ESP-1594) | |
| dc.relation.projectID | (MTM2008-01366) | |
| dc.relation.projectID | I-MATH | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 530.145 | |
| dc.subject.keyword | Quantum non-locality | |
| dc.subject.ucm | Teoría de los quanta | |
| dc.subject.unesco | 2210.23 Teoría Cuántica | |
| dc.title | A Physical Approach to Tsirelson's Problem | |
| dc.type | journal article | |
| dc.volume.number | 42 | |
| dcterms.references | Haag, R.: Local Quantum Physics. Fields, Particles, Algebras. Springer, Berlin (1996) Acín, A., Brunner, N., Gisin, N., Massar, S., Pironio, S., Scarani, V.: Device-independent security of quantum cryptography against collective attacks. Phys. Rev. Lett. 98, 230501 (2007) Masanes, Ll., Pironio, S., Acín, A.: Secure device-independent quantum key distribution with causally independent measurement devices. Nat. Commun. 2, 238 (2011) Hänggi, E., Renner, R.: Device-Independent quantum key distribution with commuting measurements. arXiv:1009.1833 (2010) Pironio, S., Acín, A., Massar, S., Boyer de la Giroday, A., Matsukevich, D.N., Maunz, P., Olmschenk, S., Hayes, D., Luo, L., Manning, T.A., Monroe, C.: Random numbers certified by Bell’s theorem. Nature 464, 1021 (2010) Navascués, M., Pironio, S., Acín, A.: Bounding the set of quantum correlations. Phys. Rev. Lett. 98, 010401 (2007) Navascués, M., Pironio, S., Acín, A.: A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations. New J. Phys. 10, 073013 (2008) Scholz, V.B., Werner, R.F.: Tsirelson’s problem. arxiv:0812.4305 (2008) Junge, M., Navascués, M., Palazuelos, C., Pérez-García, D., Scholz, V.B., Werner, R.F.: Connes’embedding problem and Tsirelson’s problem. J. Math. Phys. 52, 012102 (2011) Fritz, T.: Tsirelson’s problem and Kirchberg’s conjecture. arXiv:1008.1168 (2010) Popescu, S., Rohrlich, D.: Quantum nonlocality as an axiom. Found. Phys. 24, 379–385 (1994) Wiseman, H.M., Jones, S.J., Doherty, A.C.: Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett. 98, 140402 (2007) Barnum, H., Beigi, S., Boixo, S., Elliott, M.B., Wehner, S.: Local quantum measurement and nosignaling imply quantum correlations. Phys. Rev. Lett. 104, 140401 (2010) Acín, A., Augusiak, R., Cavalcanti, D., Hadley, C., Korbicz, J.K., Lewenstein,M., Masanes, Ll., Piani, M.: Unified framework for correlations in terms of local quantum observables. Phys. Rev. Lett. 104,140404 (2010) Pérez-García, D., Wolf, M.M., Petz, D., Ruskai, M.B.: Contractivity of positive and trace-preserving maps under Lp norms. J. Math. Phys. 47, 083506 (2006) Navascués, M., Pérez-García, D.: Sequential strong measurements and the heat vision effect. New J. Phys. 13, 113038 (2011) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5edb2da8-669b-42d1-867d-8fe3144eb216 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5edb2da8-669b-42d1-867d-8fe3144eb216 |
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