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Quantum dynamical mappings and Markovianity (2021)

  • Authors:
  • USP affiliated author: ZAMBON, GUILHERME CLARCK - IFSC
  • School: IFSC
  • Subjects: SISTEMA QUÂNTICO; PROCESSOS ESTOCÁSTICOS
  • Agências de fomento:
  • Language: Inglês
  • Abstract: The description of the evolution of open quantum systems is a topic of great interest both for its wide range of technological applications and for the understanding of fundamental aspects of quantum theory. In this context, the quantum dynamical mappings formalism is a widely used tool for generally characterizing open systems dynamics. Nonetheless, for this formalism there is no agreement on how to define Markovianity, which is an extremely important concept for most informational analysis of quantum systems. In this undergraduate thesis we compare the quantum dynamical mappings framework with the stochastic processes theory, which has a precise definition of Markovianity, and show that there is a fundamental difference between them that prevents us from properly defining Markovianity in the quantum case. In the end, we briefly present an alternative approach, the process tensor framework, in which is possible to consistently define quantum Markovianity. We then argue that, for this reason, the process tensor framework might be more adequate than quantum dynamical mappings for generally describing the evolution of open quantum systems
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    • ABNT

      ZAMBON, Guilherme Clarck. Quantum dynamical mappings and Markovianity. 2021. Trabalho de Conclusão de Curso (Graduação) – Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, 2021. Disponível em: https://repositorio.usp.br/directbitstream/d7cb0b2b-b4a4-423b-842e-417b352c959a/Guilherme%20Zambon.pdf. Acesso em: 27 set. 2022.
    • APA

      Zambon, G. C. (2021). Quantum dynamical mappings and Markovianity (Trabalho de Conclusão de Curso (Graduação). Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos. Recuperado de https://repositorio.usp.br/directbitstream/d7cb0b2b-b4a4-423b-842e-417b352c959a/Guilherme%20Zambon.pdf
    • NLM

      Zambon GC. Quantum dynamical mappings and Markovianity [Internet]. 2021 ;[citado 2022 set. 27 ] Available from: https://repositorio.usp.br/directbitstream/d7cb0b2b-b4a4-423b-842e-417b352c959a/Guilherme%20Zambon.pdf
    • Vancouver

      Zambon GC. Quantum dynamical mappings and Markovianity [Internet]. 2021 ;[citado 2022 set. 27 ] Available from: https://repositorio.usp.br/directbitstream/d7cb0b2b-b4a4-423b-842e-417b352c959a/Guilherme%20Zambon.pdf

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