Simulation of quantum jump in qutrit photonic path system
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Tipo de documento: | Tese |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFMG |
Texto Completo: | http://hdl.handle.net/1843/40697 |
Resumo: | In this thesis, we use an experimental platform of laser beams in Gaussian modes attenuated to the level of a few photons. The quantum state is prepared in a superposition of transverse Gaussian paths states. By making use of the techniques proposed by Baldijão et. al. [Phys. Rev. A. 96, 032329 (2017)] and characterized by Borges et. al. [Phys. Rev. A. 97, 022301 (2018)], to perform generalized quantum operations in this degree of freedom. We are able to generate three-path (qutrits) quantum states and implement the necessary operations to simulate spontaneous decay in a tree-level atom with quantum jumps. By using periodic diffraction phase gratings in a spatial light modulator, we implement the quantum operations for the simulation of the decay dynamics in three-level systems with quantum jumps in terms of the Kraus decomposition, for each one of the configurations: cascade, and V . In this experimental simulation, the average number of photons in each path state plays the role of the population in each one of the energy levels of the atom. The coherences between the energy eigenstates are related to the visibilities of the interference patterns between the pair of beams that form the base of the photonic path states. The states are characterized by image measurements of the beams with transversal Gaussian profile and by the interference patterns between the pairs of these spatial modes. Also we propose theoretically, making use of the same methodology, the experimental realization of quantum logic gates and controlled quantum logic gates in photonic path states. With the proposed experimental setup, we show that it is possible to implement in qubits paths states, all the logic gates described by the Pauli matrices (sigma x, sigma y e sigma z), beyond the phase logic gates. The same method can be explored for qutrits, or even multi-path systems of higher dimensions. In the simulation of the decay dynamics, we obtained satisfactory results for the diagonal terms and for the modulus of the off-diagonal terms, that is, despite of a small deviation, they are in agreement with the theoretical predictions. This simulation provide us a better comprehension of how the quantum jumps can affect the coherence of a three-level state. Moreover, this implementation may be used to understand how the quantum jumps, in high dimension systems, affect the quantum protocols due to decoherence. |
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Sebastião José Nascimento de Páduahttp://lattes.cnpq.br/2360257969737352Pedro Ernesto Schiavinatti TavaresRaphael Campos DrumondGabriela Barreto LemosSandra Sampaio Viannahttp://lattes.cnpq.br/3943752943055742Arthur Castro Cardoso2022-04-01T15:23:35Z2022-04-01T15:23:35Z2021-03-19http://hdl.handle.net/1843/40697In this thesis, we use an experimental platform of laser beams in Gaussian modes attenuated to the level of a few photons. The quantum state is prepared in a superposition of transverse Gaussian paths states. By making use of the techniques proposed by Baldijão et. al. [Phys. Rev. A. 96, 032329 (2017)] and characterized by Borges et. al. [Phys. Rev. A. 97, 022301 (2018)], to perform generalized quantum operations in this degree of freedom. We are able to generate three-path (qutrits) quantum states and implement the necessary operations to simulate spontaneous decay in a tree-level atom with quantum jumps. By using periodic diffraction phase gratings in a spatial light modulator, we implement the quantum operations for the simulation of the decay dynamics in three-level systems with quantum jumps in terms of the Kraus decomposition, for each one of the configurations: cascade, and V . In this experimental simulation, the average number of photons in each path state plays the role of the population in each one of the energy levels of the atom. The coherences between the energy eigenstates are related to the visibilities of the interference patterns between the pair of beams that form the base of the photonic path states. The states are characterized by image measurements of the beams with transversal Gaussian profile and by the interference patterns between the pairs of these spatial modes. Also we propose theoretically, making use of the same methodology, the experimental realization of quantum logic gates and controlled quantum logic gates in photonic path states. With the proposed experimental setup, we show that it is possible to implement in qubits paths states, all the logic gates described by the Pauli matrices (sigma x, sigma y e sigma z), beyond the phase logic gates. The same method can be explored for qutrits, or even multi-path systems of higher dimensions. In the simulation of the decay dynamics, we obtained satisfactory results for the diagonal terms and for the modulus of the off-diagonal terms, that is, despite of a small deviation, they are in agreement with the theoretical predictions. This simulation provide us a better comprehension of how the quantum jumps can affect the coherence of a three-level state. Moreover, this implementation may be used to understand how the quantum jumps, in high dimension systems, affect the quantum protocols due to decoherence.Nesta tese, exploramos uma fonte de fótons atenuada ao nível de poucos fótons, cujo o estado quântico foi preparado em uma superposição de estados de caminhos transversais. Utilizando técnicas propostas por Baldijão et. al. [Phys. Rev. A. 97, 032329 (2017)] e caracterizadas por Borges et. al. [Phys. Rev. A. 97, 022301 (2018)], para realizar operações generalizadas nestes graus de liberdade, nós conseguimos gerar estados quânticos de três caminhos (qutrits) e implementar as operações necessárias para simular o decaimento espontâneo em um átomo de três níveis com saltos quânticos. Utilizando grades de difração periódicas em um modulador espacial de luz, nós implementamos as operações quânticas para a simulação das dinâmicas de decaimento em sistemas de três níveis com salto quântico em termos da decomposição de Kraus, para cada um dos tipos de decaimento no sistema de três níveis: cascata, Λ e V . Nesta simulação experimental, a quantidade de fótons em cada estado de caminho faz o papel da população em cada um dos níveis de energia do átomo. As coerências entre os auto-estados de energia estão relacionadas com as visibilidades dos padrões de interferência entre os pares de feixes que formam a base dos estados de caminhos dos fótons. Os estados de caminho são caracterizados a partir de medidas de imagem dos feixes de fótons com perfil transversal Gaussianos e pelos padrões de interferência entre pares destes modos espaciais. Também propomos teoricamente, utilizando a mesma metodologia, a realização experimental de portas lógicas quânticas e portas lógicas quânticas controladas em estados fotônicos de caminhos. Com a montagem experimental proposta, mostramos que é possível implementar em qubits de caminhos Gaussianos todas as portas lógicas descritas pelas matrizes de Pauli (σx, σy e σz), além de portas lógicas de fase. O mesmo método pode ser explorado para qutrits, ou ainda, sistemas multi-caminho de dimensões maiores. Na simulação das dinâmicas de decaimento, obtivemos resultados satisfatórios para os termos da diagonal e para os módulo dos termos de fora da diagonal, isto é, apesar de um pequeno desvio, eles estão de acordo com a previsão teórica. Esta simulação nos fornece uma melhor compreensão de como os saltos quânticos podem afetar a coerência de um estado de três níveis. Além disso, esta implementação poder ser usada para entender como os saltos quânticos, em sistemas de grandes dimensões, afetam protocolos quânticos devido à decoerência.CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas GeraisCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorINCT – Instituto nacional de ciência e tecnologia (Antigo Instituto do Milênio)engUniversidade Federal de Minas GeraisPrograma de Pós-Graduação em FísicaUFMGBrasilICX - DEPARTAMENTO DE FÍSICAhttp://creativecommons.org/licenses/by-nc-nd/3.0/pt/info:eu-repo/semantics/openAccessSimulação quânticaSistemas quânticosFótonsAtomic decayQuantum jumpQuantum logic gatesQuantum operationsQuantum simulationThree-level systemsSimulation of quantum jump in qutrit photonic path systeminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufmg.br/bitstream/1843/40697/2/license_rdfcfd6801dba008cb6adbd9838b81582abMD52ORIGINALTese Arthur Castro Cardoso - versao final.pdfTese Arthur Castro Cardoso - versao final.pdfTese versao finalapplication/pdf13758790https://repositorio.ufmg.br/bitstream/1843/40697/6/Tese%20Arthur%20Castro%20Cardoso%20-%20versao%20final.pdf43f9bed33172d173d8aa309558de1c88MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-82118https://repositorio.ufmg.br/bitstream/1843/40697/7/license.txtcda590c95a0b51b4d15f60c9642ca272MD571843/406972022-04-01 12:23:36.569oai:repositorio.ufmg.br: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ório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2022-04-01T15:23:36Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.pt_BR.fl_str_mv |
Simulation of quantum jump in qutrit photonic path system |
title |
Simulation of quantum jump in qutrit photonic path system |
spellingShingle |
Simulation of quantum jump in qutrit photonic path system Arthur Castro Cardoso Atomic decay Quantum jump Quantum logic gates Quantum operations Quantum simulation Three-level systems Simulação quântica Sistemas quânticos Fótons |
title_short |
Simulation of quantum jump in qutrit photonic path system |
title_full |
Simulation of quantum jump in qutrit photonic path system |
title_fullStr |
Simulation of quantum jump in qutrit photonic path system |
title_full_unstemmed |
Simulation of quantum jump in qutrit photonic path system |
title_sort |
Simulation of quantum jump in qutrit photonic path system |
author |
Arthur Castro Cardoso |
author_facet |
Arthur Castro Cardoso |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Sebastião José Nascimento de Pádua |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/2360257969737352 |
dc.contributor.referee1.fl_str_mv |
Pedro Ernesto Schiavinatti Tavares |
dc.contributor.referee2.fl_str_mv |
Raphael Campos Drumond |
dc.contributor.referee3.fl_str_mv |
Gabriela Barreto Lemos |
dc.contributor.referee4.fl_str_mv |
Sandra Sampaio Vianna |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/3943752943055742 |
dc.contributor.author.fl_str_mv |
Arthur Castro Cardoso |
contributor_str_mv |
Sebastião José Nascimento de Pádua Pedro Ernesto Schiavinatti Tavares Raphael Campos Drumond Gabriela Barreto Lemos Sandra Sampaio Vianna |
dc.subject.por.fl_str_mv |
Atomic decay Quantum jump Quantum logic gates Quantum operations Quantum simulation Three-level systems |
topic |
Atomic decay Quantum jump Quantum logic gates Quantum operations Quantum simulation Three-level systems Simulação quântica Sistemas quânticos Fótons |
dc.subject.other.pt_BR.fl_str_mv |
Simulação quântica Sistemas quânticos Fótons |
description |
In this thesis, we use an experimental platform of laser beams in Gaussian modes attenuated to the level of a few photons. The quantum state is prepared in a superposition of transverse Gaussian paths states. By making use of the techniques proposed by Baldijão et. al. [Phys. Rev. A. 96, 032329 (2017)] and characterized by Borges et. al. [Phys. Rev. A. 97, 022301 (2018)], to perform generalized quantum operations in this degree of freedom. We are able to generate three-path (qutrits) quantum states and implement the necessary operations to simulate spontaneous decay in a tree-level atom with quantum jumps. By using periodic diffraction phase gratings in a spatial light modulator, we implement the quantum operations for the simulation of the decay dynamics in three-level systems with quantum jumps in terms of the Kraus decomposition, for each one of the configurations: cascade, and V . In this experimental simulation, the average number of photons in each path state plays the role of the population in each one of the energy levels of the atom. The coherences between the energy eigenstates are related to the visibilities of the interference patterns between the pair of beams that form the base of the photonic path states. The states are characterized by image measurements of the beams with transversal Gaussian profile and by the interference patterns between the pairs of these spatial modes. Also we propose theoretically, making use of the same methodology, the experimental realization of quantum logic gates and controlled quantum logic gates in photonic path states. With the proposed experimental setup, we show that it is possible to implement in qubits paths states, all the logic gates described by the Pauli matrices (sigma x, sigma y e sigma z), beyond the phase logic gates. The same method can be explored for qutrits, or even multi-path systems of higher dimensions. In the simulation of the decay dynamics, we obtained satisfactory results for the diagonal terms and for the modulus of the off-diagonal terms, that is, despite of a small deviation, they are in agreement with the theoretical predictions. This simulation provide us a better comprehension of how the quantum jumps can affect the coherence of a three-level state. Moreover, this implementation may be used to understand how the quantum jumps, in high dimension systems, affect the quantum protocols due to decoherence. |
publishDate |
2021 |
dc.date.issued.fl_str_mv |
2021-03-19 |
dc.date.accessioned.fl_str_mv |
2022-04-01T15:23:35Z |
dc.date.available.fl_str_mv |
2022-04-01T15:23:35Z |
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.uri.fl_str_mv |
http://hdl.handle.net/1843/40697 |
url |
http://hdl.handle.net/1843/40697 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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http://creativecommons.org/licenses/by-nc-nd/3.0/pt/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/3.0/pt/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Física |
dc.publisher.initials.fl_str_mv |
UFMG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
ICX - DEPARTAMENTO DE FÍSICA |
publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.source.none.fl_str_mv |
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