Sampling Quantum Nonlocal Correlations with High Probability
| dc.contributor.author | González Guillén, C. E. | |
| dc.contributor.author | Jiménez, C. H. | |
| dc.contributor.author | Palazuelos Cabezón, Carlos | |
| dc.contributor.author | Villanueva Díez, Ignacio | |
| dc.date.accessioned | 2023-06-18T06:52:54Z | |
| dc.date.available | 2023-06-18T06:52:54Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | It is well known that quantum correlations for bipartite dichotomic measurements are those of the form (Formula presented.), where the vectors ui and vj are in the unit ball of a real Hilbert space. In this work we study the probability of the nonlocal nature of these correlations as a function of (Formula presented.), where the previous vectors are sampled according to the Haar measure in the unit sphere of (Formula presented.). In particular, we prove the existence of an (Formula presented.) such that if (Formula presented.), (Formula presented.) is nonlocal with probability tending to 1 as (Formula presented.), while for (Formula presented.), (Formula presented.) is local with probability tending to 1 as (Formula presented.). | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economía, Comercio y Empresa (España) | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.sponsorship | Ramón y Cajal” program and ICMAT Severo Ochoa | |
| dc.description.sponsorship | Consejo Nacional de Ciencia y Tecnologίa (México) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/37731 | |
| dc.identifier.citation | González Guillén, C. E., Jiménez, C. H., Palazuelos Cabezón, C. et al. «Sampling Quantum Nonlocal Correlations with High Probability». Communications in Mathematical Physics, vol. 344, n.o 1, mayo de 2016, pp. 141-54. DOI.org (Crossref), https://doi.org/10.1007/s00220-016-2625-8. | |
| dc.identifier.doi | 10.1007/s00220-016-2625-8 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.officialurl | https//doi.org/10.1007/s00220-016-2625-8 | |
| dc.identifier.relatedurl | http://link.springer.com/article/10.1007%2Fs00220-016-2625-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24483 | |
| dc.issue.number | 1 | |
| dc.journal.title | Communications in Mathematical Physics | |
| dc.language.iso | eng | |
| dc.page.final | 154 | |
| dc.page.initial | 141 | |
| dc.publisher | Springer | |
| dc.relation.projectID | MTM2011-26912, MTM2012- 30748, MTM2014-54240-P | |
| dc.relation.projectID | QUITEMAD+-CM (S2013/ICE-2801) | |
| dc.relation.projectID | SEV-2015-0554 | |
| dc.relation.projectID | Grant 180486. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Sampling Quantum Nonlocal Correlations with High Probability | en |
| dc.type | journal article | |
| dc.volume.number | 344 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 09970d9e-6722-4f02-aac0-023cf9867638 | |
| relation.isAuthorOfPublication | 45785a65-66ff-415c-a422-bfdc6e3ff149 | |
| relation.isAuthorOfPublication.latestForDiscovery | 09970d9e-6722-4f02-aac0-023cf9867638 |
