Transmissão de emaranhamento através de cadeias de spins
Autor(a) principal: | |
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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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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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por |
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por |
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600 600 |
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9b799099-34f6-4b0a-84a4-119f48475312 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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 |
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Universidade Federal de São Carlos Câmpus São Carlos |
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