Fidelity Witnesses for Fermionic Quantum Simulations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevLett.120.190501 http://hdl.handle.net/11449/176362 |
Resumo: | The 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. |
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Fidelity Witnesses for Fermionic Quantum SimulationsThe 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.Dahlem Center for Complex Quantum Systems Freie Universität BerlinInstitute of Theoretical Physics and Astrophysics University of GdańskInstitute for Theoretical Physics Heinrich Heine University DüsseldorfInstituto de Física Universidade Federal Do Rio de Janeiro, P.O. Box 68528International Institute of Physics Federal University of Rio Grande Do NorteICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual, Paulista R. Dr. Bento T. Ferraz 271, Bl. IIICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual, Paulista R. Dr. Bento T. Ferraz 271, Bl. IIFreie Universität BerlinUniversity of GdańskHeinrich Heine University DüsseldorfUniversidade Federal do Rio de Janeiro (UFRJ)Federal University of Rio Grande Do NorteUniversidade Estadual Paulista (Unesp)Gluza, M.Kliesch, M.Eisert, J.Aolita, L. [UNESP]2018-12-11T17:20:29Z2018-12-11T17:20:29Z2018-05-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevLett.120.190501Physical Review Letters, v. 120, n. 19, 2018.1079-71140031-9007http://hdl.handle.net/11449/17636210.1103/PhysRevLett.120.1905012-s2.0-850474035482-s2.0-85047403548.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Letters3,6223,622info:eu-repo/semantics/openAccess2023-12-06T06:16:56Zoai:repositorio.unesp.br:11449/176362Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:36:37.299018Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Fidelity Witnesses for Fermionic Quantum Simulations |
title |
Fidelity Witnesses for Fermionic Quantum Simulations |
spellingShingle |
Fidelity Witnesses for Fermionic Quantum Simulations Gluza, M. |
title_short |
Fidelity Witnesses for Fermionic Quantum Simulations |
title_full |
Fidelity Witnesses for Fermionic Quantum Simulations |
title_fullStr |
Fidelity Witnesses for Fermionic Quantum Simulations |
title_full_unstemmed |
Fidelity Witnesses for Fermionic Quantum Simulations |
title_sort |
Fidelity Witnesses for Fermionic Quantum Simulations |
author |
Gluza, M. |
author_facet |
Gluza, M. Kliesch, M. Eisert, J. Aolita, L. [UNESP] |
author_role |
author |
author2 |
Kliesch, M. Eisert, J. Aolita, L. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Freie Universität Berlin University of Gdańsk Heinrich Heine University Düsseldorf Universidade Federal do Rio de Janeiro (UFRJ) Federal University of Rio Grande Do Norte Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Gluza, M. Kliesch, M. Eisert, J. Aolita, L. [UNESP] |
description |
The 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. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:20:29Z 2018-12-11T17:20:29Z 2018-05-11 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevLett.120.190501 Physical Review Letters, v. 120, n. 19, 2018. 1079-7114 0031-9007 http://hdl.handle.net/11449/176362 10.1103/PhysRevLett.120.190501 2-s2.0-85047403548 2-s2.0-85047403548.pdf |
url |
http://dx.doi.org/10.1103/PhysRevLett.120.190501 http://hdl.handle.net/11449/176362 |
identifier_str_mv |
Physical Review Letters, v. 120, n. 19, 2018. 1079-7114 0031-9007 10.1103/PhysRevLett.120.190501 2-s2.0-85047403548 2-s2.0-85047403548.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review Letters 3,622 3,622 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808129096287256576 |