Transmissão de emaranhamento através de cadeias de spins

Detalhes bibliográficos
Autor(a) principal: Vieira, Rafael
Data de Publicação: 2018
Tipo de documento: Tese
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/10076
Resumo: In this thesis we studied the transmission of entangled states in unmodulated spin chains using a slight modification in the XY isotropic model (XX model) that describes a one-dimensional spin-1/2 chain. We have shown that it is possible to transmit bipartite entangled states from a sender to a receiver with high fidelity from one end of the chain to the other. This transmission occurs without the need for external fields or modulation of the coupling constants between the qubits, which simplifies its pratical implementation. We verified, through numerical analysis, that the modification in the one-dimensional model works for any size of the chain. We also verified that the proposed model is robust for small imperfections in the coupling constants, low magnetic field noise and residual interection between spins in the z direction. At last, we analyzed whether the proposed model can also be used as a transmitter of single qubit states and we discussed these results within the context of the quantum information theory.
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spelling Vieira, RafaelRigolin, Gustavo Garciahttp://lattes.cnpq.br/5670956791297779http://lattes.cnpq.br/39651191408048946c213731-60b1-4729-9ea0-ead5fe8315f52018-05-21T13:01:39Z2018-05-21T13:01:39Z2018-04-25VIEIRA, Rafael. Transmissão de emaranhamento através de cadeias de spins. 2018. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10076.https://repositorio.ufscar.br/handle/ufscar/10076In this thesis we studied the transmission of entangled states in unmodulated spin chains using a slight modification in the XY isotropic model (XX model) that describes a one-dimensional spin-1/2 chain. We have shown that it is possible to transmit bipartite entangled states from a sender to a receiver with high fidelity from one end of the chain to the other. This transmission occurs without the need for external fields or modulation of the coupling constants between the qubits, which simplifies its pratical implementation. We verified, through numerical analysis, that the modification in the one-dimensional model works for any size of the chain. We also verified that the proposed model is robust for small imperfections in the coupling constants, low magnetic field noise and residual interection between spins in the z direction. At last, we analyzed whether the proposed model can also be used as a transmitter of single qubit states and we discussed these results within the context of the quantum information theory.Nesta Tese estudamos a transmissão de estados emaranhados em cadeias de spins não moduladas. Para isso, propomos uma pequena modificação no modelo isotrópico XY (modelo XX) que descreve uma cadeia de spin-1/2 unidimensional. Mostramos que é possível transmitir estados emaranhados bipartites de um remetente a um receptor com altíssimos índices de fidelidade de uma ponta a outra da cadeia. Essa transmissão ocorre sem a necessidade de campos externos ou modulação das constantes de acoplamento entre os qubits, viabilizando e simplificando sua implementação prática. Constatamos, através de análise numérica, que a modificação no modelo unidimensional funciona para qualquer tamanho de cadeia. Verificamos também que o modelo proposto é robusto a pequenas imperfeições nas constantes de acoplamento, bem como à presença de campos magnéticos externos fracos e a interações residuais entre os spins na direção z. Ao final, analisamos se o modelo proposto também pode ser utilizado como transmissor de estados de um qubit e discutimos esses resultados à luz da teoria de informação e computação quânticas.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq: 142197/2014-9porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Física - PPGFUFSCarCadeias de spinsAnálise numéricaSpin chainsNumerical analysisCIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL::FISICA CLASSICA E FISICA QUANTICA; MECANICA E CAMPOSTransmissão de emaranhamento através de cadeias de spinsEntanglement transmission through spin chainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisOnline6006009b799099-34f6-4b0a-84a4-119f48475312info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARLICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/10076/3/license.txtae0398b6f8b235e40ad82cba6c50031dMD53ORIGINALVIEIRA_Rafael_2018.pdfVIEIRA_Rafael_2018.pdfapplication/pdf12177756https://repositorio.ufscar.br/bitstream/ufscar/10076/4/VIEIRA_Rafael_2018.pdfbcddf65b48923d1efbdf747b4eac9589MD54TEXTVIEIRA_Rafael_2018.pdf.txtVIEIRA_Rafael_2018.pdf.txtExtracted texttext/plain207873https://repositorio.ufscar.br/bitstream/ufscar/10076/5/VIEIRA_Rafael_2018.pdf.txt1a7a35ed92201f814566116fc897b89fMD55THUMBNAILVIEIRA_Rafael_2018.pdf.jpgVIEIRA_Rafael_2018.pdf.jpgIM Thumbnailimage/jpeg5820https://repositorio.ufscar.br/bitstream/ufscar/10076/6/VIEIRA_Rafael_2018.pdf.jpg560768e70427306ae46a709d7ec3cff9MD56ufscar/100762023-09-18 18:31:15.094oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:15Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Transmissão de emaranhamento através de cadeias de spins
dc.title.alternative.eng.fl_str_mv Entanglement transmission through spin chains
title Transmissão de emaranhamento através de cadeias de spins
spellingShingle Transmissão de emaranhamento através de cadeias de spins
Vieira, Rafael
Cadeias de spins
Análise numérica
Spin chains
Numerical analysis
CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL::FISICA CLASSICA E FISICA QUANTICA; MECANICA E CAMPOS
title_short Transmissão de emaranhamento através de cadeias de spins
title_full Transmissão de emaranhamento através de cadeias de spins
title_fullStr Transmissão de emaranhamento através de cadeias de spins
title_full_unstemmed Transmissão de emaranhamento através de cadeias de spins
title_sort Transmissão de emaranhamento através de cadeias de spins
author Vieira, Rafael
author_facet Vieira, Rafael
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/3965119140804894
dc.contributor.author.fl_str_mv Vieira, Rafael
dc.contributor.advisor1.fl_str_mv Rigolin, Gustavo Garcia
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5670956791297779
dc.contributor.authorID.fl_str_mv 6c213731-60b1-4729-9ea0-ead5fe8315f5
contributor_str_mv Rigolin, Gustavo Garcia
dc.subject.por.fl_str_mv Cadeias de spins
Análise numérica
topic Cadeias de spins
Análise numérica
Spin chains
Numerical analysis
CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL::FISICA CLASSICA E FISICA QUANTICA; MECANICA E CAMPOS
dc.subject.eng.fl_str_mv Spin chains
Numerical analysis
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL::FISICA CLASSICA E FISICA QUANTICA; MECANICA E CAMPOS
description In this thesis we studied the transmission of entangled states in unmodulated spin chains using a slight modification in the XY isotropic model (XX model) that describes a one-dimensional spin-1/2 chain. We have shown that it is possible to transmit bipartite entangled states from a sender to a receiver with high fidelity from one end of the chain to the other. This transmission occurs without the need for external fields or modulation of the coupling constants between the qubits, which simplifies its pratical implementation. We verified, through numerical analysis, that the modification in the one-dimensional model works for any size of the chain. We also verified that the proposed model is robust for small imperfections in the coupling constants, low magnetic field noise and residual interection between spins in the z direction. At last, we analyzed whether the proposed model can also be used as a transmitter of single qubit states and we discussed these results within the context of the quantum information theory.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-05-21T13:01:39Z
dc.date.available.fl_str_mv 2018-05-21T13:01:39Z
dc.date.issued.fl_str_mv 2018-04-25
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv VIEIRA, Rafael. Transmissão de emaranhamento através de cadeias de spins. 2018. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10076.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/10076
identifier_str_mv VIEIRA, Rafael. Transmissão de emaranhamento através de cadeias de spins. 2018. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10076.
url https://repositorio.ufscar.br/handle/ufscar/10076
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dc.relation.confidence.fl_str_mv 600
600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Física - PPGF
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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institution UFSCAR
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