dc.creator | Cabello Quintero, Adán | es |
dc.creator | Portillo Fernández, José Ramón | es |
dc.creator | Solís, Alberto | es |
dc.creator | Svozil, Karl | es |
dc.date.accessioned | 2022-07-28T09:15:32Z | |
dc.date.available | 2022-07-28T09:15:32Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Cabello Quintero, A., Portillo Fernández, J.R., Solís, A. y Svozil, K. (2018). Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden-variable theories. Physical Review A, 98 (1), 012106-1-012106-8. | |
dc.identifier.issn | 2469-9926 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135950 | |
dc.description.abstract | An essential ingredient in many examples of the conflict between quantum theory and noncontextual hidden
variables (e.g., the proof of the Kochen-Specker theorem and Hardy’s proof of Bell’s theorem) is a set of atomic
propositions about the outcomes of ideal measurements such that, when outcome noncontextuality is assumed,
if proposition A is true, then, due to exclusiveness and completeness, a nonexclusive proposition B (C) must be
false (true). We call such a set a true-implies-false set (TIFS) [true-implies-true set (TITS)]. Here we identify all
the minimal TIFSs and TITSs in every dimension d 3, i.e., the sets of each type having the smallest number
of propositions. These sets are important because each of them leads to a proof of impossibility of noncontextual
hidden variables and correspondsto a simple situation with quantumvs classical advantage.Moreover, themethods
developed to identify them may be helpful to solve some open problems regarding minimal Kochen-Specker sets | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad FIS2017-89609-P | es |
dc.format | application/pdf | es |
dc.format.extent | 8 | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review A, 98 (1), 012106-1-012106-8. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden-variable theories | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada II | es |
dc.relation.projectID | FIS2017-89609-P | es |
dc.relation.publisherversion | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.98.012106 | es |
dc.identifier.doi | 10.1103/PhysRevA.98.012106 | es |
dc.contributor.group | Universidad de Sevilla. FQM-164: Matemática Discreta: Teoría de Grafos y Geometría Computacional | es |
dc.contributor.group | Universidad de Sevilla. FQM-239: Fundamentos de Mecánica Cuántica | es |
dc.journaltitle | Physical Review A | es |
dc.publication.volumen | 98 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 012106-1 | es |
dc.publication.endPage | 012106-8 | es |
dc.identifier.sisius | 21485477 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |