dc.creator | Trandafir, Stefan | es |
dc.creator | Lisoněk, Petr | es |
dc.creator | Cabello Quintero, Adán | es |
dc.date.accessioned | 2023-04-21T07:47:16Z | |
dc.date.available | 2023-04-21T07:47:16Z | |
dc.date.issued | 2022-11-07 | |
dc.identifier.citation | Trandafir, S., Lisoněk, P. y Cabello Quintero, A. (2022). Irreducible magic sets for n-Qubit systems. Physical Review Letters, 129 (200401). https://doi.org/10.1103/PhysRevLett.129.200401. | |
dc.identifier.issn | 0031-9007 | es |
dc.identifier.issn | 1079-7114 | es |
dc.identifier.uri | https://hdl.handle.net/11441/144738 | |
dc.description.abstract | Magic sets of observables are minimal structures that capture quantum state-independent advantage for
systems of n ≥ 2 qubits and are, therefore, fundamental tools for investigating the interface between
classical and quantum physics. A theorem by Arkhipov (arXiv:1209.3819) states that n-qubit magic sets in
which each observable is in exactly two subsets of compatible observables can be reduced either to the twoqubit magic square or the three-qubit magic pentagram [N. D. Mermin, Phys. Rev. Lett. 65, 3373 (1990)].
An open question is whether there are magic sets that cannot be reduced to the square or the pentagram. If
they exist, a second key question is whether they require n > 3 qubits, since, if this is the case, these magic
sets would capture minimal state-independent quantum advantage that is specific for n-qubit systems with
specific values of n. Here, we answer both questions affirmatively. We identify magic sets that cannot be
reduced to the square or the pentagram and require n ¼ 3, 4, 5, or 6 qubits. In addition, we prove a
generalized version of Arkhipov’s theorem providing an efficient algorithm for, given a hypergraph,
deciding whether or not it can accommodate a magic set, and solve another open problem, namely, given a
magic set, obtaining the tight bound of its associated noncontextuality inequality. | es |
dc.format | application/pdf | es |
dc.format.extent | 7 p. | es |
dc.language.iso | eng | es |
dc.publisher | Physical Review Letters | es |
dc.relation.ispartof | Physical Review Letters, 129 (200401). | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Magic sets | es |
dc.subject | n-Qubit systems | es |
dc.title | Irreducible magic sets for n-Qubit systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | RGPIN-2015-06250 | es |
dc.relation.projectID | RGPIN-2022-04526 | es |
dc.relation.projectID | US-15097 | es |
dc.relation.projectID | PCI2019-111885-2 | es |
dc.relation.projectID | PID2020–113738 GB-I00 | es |
dc.relation.publisherversion | https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.129.200401 | es |
dc.identifier.doi | 10.1103/PhysRevLett.129.200401 | es |
dc.contributor.group | Universidad de Sevilla. FQM239: Fundamentos de Mecánica Cuántica | es |
dc.journaltitle | Physical Review Letters | es |
dc.publication.volumen | 129 | es |
dc.publication.issue | 200401 | es |
dc.contributor.funder | Natural Sciences and Engineering Research Council of Canada (NSERC) | 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 |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |