Wigner\'s friend and quantum clocks

Detalhes bibliográficos
Autor(a) principal: Rossi, Vinicius Pretti
Data de Publicação: 2020
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da USP
Texto Completo: https://www.teses.usp.br/teses/disponiveis/76/76134/tde-29092020-160009/
Resumo: In 1962, Eugene P. Wigner introduced a thought experiment that highlighted the incompatibility in quantum mechanics between unitary evolution and wave function reduction in a measurement. This work resulted in a class of thought experiments often called Wigner\'s Friend Scenarios, which have been providing insights over many frameworks and interpretations of quantum theory. Recently, a no-go theorem obtained by Daniela Frauchiger and Renato Renner brought attention back to the Wigner\'s Friend and its potential of putting theories to test. Many answers to this result pointed out how timing in the thought experiment could be yielding a paradox. In this work, we ask what would happen if the isolated friend in a Wigner\'s Friend Scenario did not share a time reference frame with the outer observer, and time should be tracked by a quantum clock. For this purpose, we recollect concepts provided by the theory of quantum reference frames and the quantum resource theory of asymmetry, to learn how to internalize time in this scenario, and introduce a model for a feasible quantum clock proposed by Mischa P. Woods, Ralph Silva and Jonathan Oppenheim, called the quasi-ideal clock. Our results have shown that no decoherent behavior comes from this approach, and the disagreement between the superobserver and its friend persists even for an imprecise clock, indicating that the source of paradox in a Wigner\'s Friend Scenario may be elsewhere.
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spelling Wigner\'s friend and quantum clocksAmigo de Wigner e relógios quânticosAmigo de WignerFundamentos da teoria quânticaQuantum clocksQuantum foundationsQuantum reference FramesReferenciais quânticosRelógios quânticosWigner's friendIn 1962, Eugene P. Wigner introduced a thought experiment that highlighted the incompatibility in quantum mechanics between unitary evolution and wave function reduction in a measurement. This work resulted in a class of thought experiments often called Wigner\'s Friend Scenarios, which have been providing insights over many frameworks and interpretations of quantum theory. Recently, a no-go theorem obtained by Daniela Frauchiger and Renato Renner brought attention back to the Wigner\'s Friend and its potential of putting theories to test. Many answers to this result pointed out how timing in the thought experiment could be yielding a paradox. In this work, we ask what would happen if the isolated friend in a Wigner\'s Friend Scenario did not share a time reference frame with the outer observer, and time should be tracked by a quantum clock. For this purpose, we recollect concepts provided by the theory of quantum reference frames and the quantum resource theory of asymmetry, to learn how to internalize time in this scenario, and introduce a model for a feasible quantum clock proposed by Mischa P. Woods, Ralph Silva and Jonathan Oppenheim, called the quasi-ideal clock. Our results have shown that no decoherent behavior comes from this approach, and the disagreement between the superobserver and its friend persists even for an imprecise clock, indicating that the source of paradox in a Wigner\'s Friend Scenario may be elsewhere.Em 1962, Eugene P. Wigner apresentou um experimento mental que destacava a incompatibilidade na mecânica quântica entre a evolução unitária e a redução da função de onda em uma medição. Esse trabalho resultou em uma classe de experimentos mentais usualmente chamados Cenários do tipo Amigo de Wigner, que têm provido informações sobre várias abordagens e interpretações da teoria quântica. Recentemente, um teorema obtido por Daniela Frauchiger e Renato Renner trouxe de volta a atenção sobre o Amigo de Wigner e seu potencial de colocar teorias à prova. Diversas respostas a este resultado indicaram como a marcação temporal no experimento mental poderia estar produzindo um paradoxo. Neste trabalho, nos perguntamos o que aconteceria se o amigo isolado não compartilhasse um referencial temporal com o observador externo, e o tempo fosse rastreado por um relógio quântico. Para este fim, revisitamos conceitos fornecidos pela teoria de referenciais quânticos e pela teoria quântica de recursos de assimetria, para descobrir como internalizar o tempo neste cenário, e apresentamos um modelo de relógio implementável proposto por Mischa P. Woods, Ralph Silva e Jonathan Oppenheim, chamado de relógio quase ideal. Nossos resultados mostraram que nenhum comportamento decoerente surge dessa abordagem, e o desacordo entre o superobservador e seu amigo persiste mesmo para um relógio impreciso, indicando que a fonte de paradoxo em um Cenário do tipo Amigo de Wigner pode estar em outra parte.Biblioteca Digitais de Teses e Dissertações da USPPinto, Diogo de Oliveira SoaresRossi, Vinicius Pretti2020-07-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttps://www.teses.usp.br/teses/disponiveis/76/76134/tde-29092020-160009/reponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USPLiberar o conteúdo para acesso público.info:eu-repo/semantics/openAccesseng2024-08-23T15:42:02Zoai:teses.usp.br:tde-29092020-160009Biblioteca 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:27212024-08-23T15:42:02Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false
dc.title.none.fl_str_mv Wigner\'s friend and quantum clocks
Amigo de Wigner e relógios quânticos
title Wigner\'s friend and quantum clocks
spellingShingle Wigner\'s friend and quantum clocks
Rossi, Vinicius Pretti
Amigo de Wigner
Fundamentos da teoria quântica
Quantum clocks
Quantum foundations
Quantum reference Frames
Referenciais quânticos
Relógios quânticos
Wigner's friend
title_short Wigner\'s friend and quantum clocks
title_full Wigner\'s friend and quantum clocks
title_fullStr Wigner\'s friend and quantum clocks
title_full_unstemmed Wigner\'s friend and quantum clocks
title_sort Wigner\'s friend and quantum clocks
author Rossi, Vinicius Pretti
author_facet Rossi, Vinicius Pretti
author_role author
dc.contributor.none.fl_str_mv Pinto, Diogo de Oliveira Soares
dc.contributor.author.fl_str_mv Rossi, Vinicius Pretti
dc.subject.por.fl_str_mv Amigo de Wigner
Fundamentos da teoria quântica
Quantum clocks
Quantum foundations
Quantum reference Frames
Referenciais quânticos
Relógios quânticos
Wigner's friend
topic Amigo de Wigner
Fundamentos da teoria quântica
Quantum clocks
Quantum foundations
Quantum reference Frames
Referenciais quânticos
Relógios quânticos
Wigner's friend
description In 1962, Eugene P. Wigner introduced a thought experiment that highlighted the incompatibility in quantum mechanics between unitary evolution and wave function reduction in a measurement. This work resulted in a class of thought experiments often called Wigner\'s Friend Scenarios, which have been providing insights over many frameworks and interpretations of quantum theory. Recently, a no-go theorem obtained by Daniela Frauchiger and Renato Renner brought attention back to the Wigner\'s Friend and its potential of putting theories to test. Many answers to this result pointed out how timing in the thought experiment could be yielding a paradox. In this work, we ask what would happen if the isolated friend in a Wigner\'s Friend Scenario did not share a time reference frame with the outer observer, and time should be tracked by a quantum clock. For this purpose, we recollect concepts provided by the theory of quantum reference frames and the quantum resource theory of asymmetry, to learn how to internalize time in this scenario, and introduce a model for a feasible quantum clock proposed by Mischa P. Woods, Ralph Silva and Jonathan Oppenheim, called the quasi-ideal clock. Our results have shown that no decoherent behavior comes from this approach, and the disagreement between the superobserver and its friend persists even for an imprecise clock, indicating that the source of paradox in a Wigner\'s Friend Scenario may be elsewhere.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-31
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
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dc.identifier.uri.fl_str_mv https://www.teses.usp.br/teses/disponiveis/76/76134/tde-29092020-160009/
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv
dc.rights.driver.fl_str_mv Liberar o conteúdo para acesso público.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Liberar o conteúdo para acesso público.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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dc.publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
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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reponame_str Biblioteca Digital de Teses e Dissertações da USP
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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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