Suppressing information storage in a structured thermal bath

Detalhes bibliográficos
Autor(a) principal: Wilson Santana Martins
Data de Publicação: 2022
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da USP
Texto Completo: https://doi.org/10.11606/D.76.2022.tde-19072022-135443
Resumo: Quantum system tend to have information lost from transmission through the correlations generated among degrees of freedom. For situations where we have a non-Markovian environment, the information contained in it may return to the system, and non-Markovian witnesses can capture such effect. In the present work, we sought how the environment structure affects the system information reachability since its finite size induces a quasiperiodic behavior in the decoherence and enables a highly non-Markovian behavior in the dynamics. To do that, we use a central qubit coupled to a spin chain with Ising interactions subject to a magnetic field, i.e., a central spin model, and solve the exact dynamics of the system. Moreover, we use two witnesses to analyze the presence of non-Markovianity: the Breuer-Laine-Piilo (BLP) trace distance-based measure and the conditional past-future correlator (CPF). On the other hand, we see how such behavior suppresses the classic plateau in Partial Information Plot (PIP) from the paradigm of quantum Darwinism and objective information from Spectrum Broadcast Structure (SBS). In addition to the system point of view, we show that the environmental structure avoids encoding accessible and distinguishable information for measurement in the environment for any model limit. Finally, he orthogonality between the density operators decodes the distinguishability between SBS states in the environment.
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spelling info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis Suppressing information storage in a structured thermal bath Suprimindo o armazenamento de informação em um banho térmico estruturado 2022-04-01Diogo de Oliveira Soares PintoAdrián Adolfo BudiniDiego Paiva PiresWilson Santana MartinsUniversidade de São PauloFísicaUSPBR Não-Markovianidade quântica Open quantum systems Quantum information theory Quantum non-Markovianity Sistemas quânticos abertos Teoria da informação quântica Quantum system tend to have information lost from transmission through the correlations generated among degrees of freedom. For situations where we have a non-Markovian environment, the information contained in it may return to the system, and non-Markovian witnesses can capture such effect. In the present work, we sought how the environment structure affects the system information reachability since its finite size induces a quasiperiodic behavior in the decoherence and enables a highly non-Markovian behavior in the dynamics. To do that, we use a central qubit coupled to a spin chain with Ising interactions subject to a magnetic field, i.e., a central spin model, and solve the exact dynamics of the system. Moreover, we use two witnesses to analyze the presence of non-Markovianity: the Breuer-Laine-Piilo (BLP) trace distance-based measure and the conditional past-future correlator (CPF). On the other hand, we see how such behavior suppresses the classic plateau in Partial Information Plot (PIP) from the paradigm of quantum Darwinism and objective information from Spectrum Broadcast Structure (SBS). In addition to the system point of view, we show that the environmental structure avoids encoding accessible and distinguishable information for measurement in the environment for any model limit. Finally, he orthogonality between the density operators decodes the distinguishability between SBS states in the environment. Sistemas quânticos que interagem com ambiente tendem a ter informações perdidas na transmissão por meio das correlações geradas entre graus de liberdade do ambiente. Para situações onde temos um ambiente não-Markoviano, as informações contidas neste podem retornar ao sistema e testemunhas não-Markovianas podem capturar tal efeito. No presente trabalho, buscamos entender como a estrutura do ambiente afeta a acessibilidade da informação do sistema, uma vez que seu tamanho finito induz um comportamento quase periódico na decoerência e possibilita um comportamento altamente não-Markoviano na dinâmica. Para isso, usamos um q-bit central acoplado a uma cadeia de spin com interações de Ising sujeitas a um campo magnético, ou seja, um modelo de spin central, e resolvemos a dinâmica exata deste sistema. Além disso, usamos duas testemunhas para analisar a presença de não-Markovianidade: a medida de Breuer-Laine-Piilo(BLP) e a correlação condicional passado-futuro (CPF). Por outro lado, vemos como tal comportamento suprime o platô clássico no Partial Information Plot (PIP) do paradigma do darwinismo quântico e informação objetiva da Spectrum Broadcast Structure (SBS). Além do ponto de vista do sistema, mostramos que a estrutura do ambiente evita a codificação de informações acessíveis e distinguíveis para medição no ambiente para qualquer limite do modelo. Por fim, ortogonalidade entre os operadores densidade codifica a distinguibilidade dos estados SBS no ambiente. https://doi.org/10.11606/D.76.2022.tde-19072022-135443info:eu-repo/semantics/openAccessengreponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USP2023-12-21T19:25:20Zoai:teses.usp.br:tde-19072022-135443Biblioteca Digital de Teses e Dissertaçõeshttp://www.teses.usp.br/PUBhttp://www.teses.usp.br/cgi-bin/mtd2br.plvirginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.bropendoar:27212023-12-22T12:55:18.912758Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false
dc.title.en.fl_str_mv Suppressing information storage in a structured thermal bath
dc.title.alternative.pt.fl_str_mv Suprimindo o armazenamento de informação em um banho térmico estruturado
title Suppressing information storage in a structured thermal bath
spellingShingle Suppressing information storage in a structured thermal bath
Wilson Santana Martins
title_short Suppressing information storage in a structured thermal bath
title_full Suppressing information storage in a structured thermal bath
title_fullStr Suppressing information storage in a structured thermal bath
title_full_unstemmed Suppressing information storage in a structured thermal bath
title_sort Suppressing information storage in a structured thermal bath
author Wilson Santana Martins
author_facet Wilson Santana Martins
author_role author
dc.contributor.advisor1.fl_str_mv Diogo de Oliveira Soares Pinto
dc.contributor.referee1.fl_str_mv Adrián Adolfo Budini
dc.contributor.referee2.fl_str_mv Diego Paiva Pires
dc.contributor.author.fl_str_mv Wilson Santana Martins
contributor_str_mv Diogo de Oliveira Soares Pinto
Adrián Adolfo Budini
Diego Paiva Pires
description Quantum system tend to have information lost from transmission through the correlations generated among degrees of freedom. For situations where we have a non-Markovian environment, the information contained in it may return to the system, and non-Markovian witnesses can capture such effect. In the present work, we sought how the environment structure affects the system information reachability since its finite size induces a quasiperiodic behavior in the decoherence and enables a highly non-Markovian behavior in the dynamics. To do that, we use a central qubit coupled to a spin chain with Ising interactions subject to a magnetic field, i.e., a central spin model, and solve the exact dynamics of the system. Moreover, we use two witnesses to analyze the presence of non-Markovianity: the Breuer-Laine-Piilo (BLP) trace distance-based measure and the conditional past-future correlator (CPF). On the other hand, we see how such behavior suppresses the classic plateau in Partial Information Plot (PIP) from the paradigm of quantum Darwinism and objective information from Spectrum Broadcast Structure (SBS). In addition to the system point of view, we show that the environmental structure avoids encoding accessible and distinguishable information for measurement in the environment for any model limit. Finally, he orthogonality between the density operators decodes the distinguishability between SBS states in the environment.
publishDate 2022
dc.date.issued.fl_str_mv 2022-04-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.11606/D.76.2022.tde-19072022-135443
url https://doi.org/10.11606/D.76.2022.tde-19072022-135443
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade de São Paulo
dc.publisher.program.fl_str_mv Física
dc.publisher.initials.fl_str_mv USP
dc.publisher.country.fl_str_mv BR
publisher.none.fl_str_mv Universidade de São Paulo
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da USP
instname:Universidade de São Paulo (USP)
instacron:USP
instname_str Universidade de São Paulo (USP)
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institution USP
reponame_str Biblioteca Digital de Teses e Dissertações da USP
collection Biblioteca Digital de Teses e Dissertações da USP
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)
repository.mail.fl_str_mv virginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.br
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