Fidelity Witnesses for Fermionic Quantum Simulations

dc.contributor.authorGluza, M.
dc.contributor.authorKliesch, M.
dc.contributor.authorEisert, J.
dc.contributor.authorAolita, L. [UNESP]
dc.contributor.institutionFreie Universität Berlin
dc.contributor.institutionUniversity of Gdańsk
dc.contributor.institutionHeinrich Heine University Düsseldorf
dc.contributor.institutionUniversidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.institutionFederal University of Rio Grande Do Norte
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:20:29Z
dc.date.available2018-12-11T17:20:29Z
dc.date.issued2018-05-11
dc.description.abstractThe experimental interest and developments in quantum spin-1/2 chains has increased uninterruptedly over the past decade. In many instances, the target quantum simulation belongs to the broader class of noninteracting fermionic models, constituting an important benchmark. In spite of this class being analytically efficiently tractable, no direct certification tool has yet been reported for it. In fact, in experiments, certification has almost exclusively relied on notions of quantum state tomography scaling very unfavorably with the system size. Here, we develop experimentally friendly fidelity witnesses for all pure fermionic Gaussian target states. Their expectation value yields a tight lower bound to the fidelity and can be measured efficiently. We derive witnesses in full generality in the Majorana-fermion representation and apply them to experimentally relevant spin-1/2 chains. Among others, we show how to efficiently certify strongly out-of-equilibrium dynamics in critical Ising chains. At the heart of the measurement scheme is a variant of importance sampling specially tailored to overlaps between covariance matrices. The method is shown to be robust against finite experimental-state infidelities.en
dc.description.affiliationDahlem Center for Complex Quantum Systems Freie Universität Berlin
dc.description.affiliationInstitute of Theoretical Physics and Astrophysics University of Gdańsk
dc.description.affiliationInstitute for Theoretical Physics Heinrich Heine University Düsseldorf
dc.description.affiliationInstituto de Física Universidade Federal Do Rio de Janeiro, P.O. Box 68528
dc.description.affiliationInternational Institute of Physics Federal University of Rio Grande Do Norte
dc.description.affiliationICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual, Paulista R. Dr. Bento T. Ferraz 271, Bl. II
dc.description.affiliationUnespICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual, Paulista R. Dr. Bento T. Ferraz 271, Bl. II
dc.identifierhttp://dx.doi.org/10.1103/PhysRevLett.120.190501
dc.identifier.citationPhysical Review Letters, v. 120, n. 19, 2018.
dc.identifier.doi10.1103/PhysRevLett.120.190501
dc.identifier.file2-s2.0-85047403548.pdf
dc.identifier.issn1079-7114
dc.identifier.issn0031-9007
dc.identifier.scopus2-s2.0-85047403548
dc.identifier.urihttp://hdl.handle.net/11449/176362
dc.language.isoeng
dc.relation.ispartofPhysical Review Letters
dc.relation.ispartofsjr3,622
dc.relation.ispartofsjr3,622
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleFidelity Witnesses for Fermionic Quantum Simulationsen
dc.typeArtigo

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