Semidefinite tests for quantum network topologies

dc.contributor.authorÅberg, Johan
dc.contributor.authorNery, Ranieri Vieira
dc.contributor.authorDuarte, Cristhiano
dc.contributor.authorAraújo, Rafael Chaves Souto
dc.date.accessioned2025-05-27T17:44:46Z
dc.date.available2025-05-27T17:44:46Z
dc.date.issued2020-09-10
dc.description.resumoQuantum networks play a major role in long-distance communication, quantum cryptography, clock synchronization, and distributed quantum computing. Generally, these protocols involve many independent sources sharing entanglement among distant parties that, upon measuring their systems, generate correlations across the network. The question of which correlations a given quantum network can give rise to remains almost uncharted. Here we show that constraints on the observable covariances, previously derived for the classical case, also hold for quantum networks. The network topology yields tests that can be cast as semidefinite programs, thus allowing for the efficient characterization of the correlations in a wide class of quantum networks, as well as systematic derivations of device-independent and experimentally testable witnesses. We obtain such semidefinite tests for fixed measurement settings, as well as parties that independently choose among collections of measurement settings. The applicability of the method is demonstrated for various networks, and compared with previous approaches.pt_BR
dc.identifier.citationÅBERG, Johan ; NERY, Ranieri vieira; DUARTE, Cristhiano; ARAÚJO, Rafael Chaves Souto. Semidefinite Tests for Quantum Network Topologies. Physical Review Letters, v. 125, p. 110505, 2020. DOI 10.1103/PhysRevLett.125.110505. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.110505. Acesso em: 19 mar. 2025.
dc.identifier.doi10.1103/PhysRevLett.125.110505
dc.identifier.issn1079-7114
dc.identifier.otherDOI 10.1103/PhysRevLett.125.110505
dc.identifier.urihttps://repositorio.ufrn.br/handle/123456789/63675
dc.languageenpt_BR
dc.language.isoen
dc.publisherPhysical Review Letterspt_BR
dc.subjectNonlocalitypt_BR
dc.subjectNão localidadept_BR
dc.subjectQuantum communicationpt_BR
dc.subjectComunicação quânticapt_BR
dc.subjectQuantum networkspt_BR
dc.subjectRedes quânticaspt_BR
dc.subjectQuantum simulationpt_BR
dc.subjectSimulação quânticapt_BR
dc.titleSemidefinite tests for quantum network topologiespt_BR
dc.typearticlept_BR

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