dc.creator | Cabello Quintero, Adán | es |
dc.date.accessioned | 2022-07-18T09:05:49Z | |
dc.date.available | 2022-07-18T09:05:49Z | |
dc.date.issued | 2021-05-22 | |
dc.identifier.citation | Cabello Quintero, A. (2021). Bell non-locality and Kochen-Specker contextuality: how are they connected?. Foundations of Physics, 51(61) | |
dc.identifier.issn | 0015-9018 | es |
dc.identifier.issn | 1572-9516 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135470 | |
dc.description.abstract | Bell non-locality and Kochen–Specker (KS) contextuality are logically independent concepts, fuel different protocols with quantum vs classical advantage, and have distinct classical simulation costs. A natural question is what are the relations between these concepts, advantages, and costs. To address this question, it is useful to have a map that captures all the connections between Bell non-locality and KS contextuality in quantum theory. The aim of this work is to introduce such a map. After defining the theory-independent notions of Bell non-locality and KS contextuality for ideal measurements, we show that, in quantum theory, due to Neumark’s dilation theorem, every quantum Bell non-local behavior can be mapped to a formally identical KS contextual behavior produced in a scenario with identical relations of compatibility but where measurements are ideal and no space-like separation is required. A more difficult problem is identifying connections in the opposite direction. We show that there are “one-to-one” and partial connections between KS contextual behaviors and Bell non-local behaviors for some KS scenarios, but not for all of them. However, there is also a method that transforms any KS contextual behavior for quantum systems of dimension d into a Bell non-local behavior between two quantum subsystems each of them of dimension d. We collect all these connections in map and list some problems which can benefit from this map. | es |
dc.format | application/pdf | es |
dc.format.extent | 13 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Foundations of Physics, 51(61) | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bell inequalities | es |
dc.subject | Contextuality | es |
dc.subject | Non-contextuality inequalities | es |
dc.subject | Nonlocality | es |
dc.title | Bell non-locality and Kochen-Specker contextuality: how are they connected? | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada II | es |
dc.relation.projectID | US-15097 | es |
dc.relation.projectID | FIS2017-89609-P | es |
dc.relation.projectID | PCI2019-111885-2 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007/s10701-021-00466-5.pdf | es |
dc.identifier.doi | 10.1007/s10701-021-00466-5 | es |
dc.contributor.group | Universidad de Sevilla. FQM239: Fundamentos de Mecánica Cuántica | es |
dc.journaltitle | Foundations of Physics | es |
dc.publication.volumen | 51(61) | es |
dc.contributor.funder | Universidad de Sevilla | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Ministerio de Economia, Industria y Competitividad (MINECO). España | es |