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Contextuality Quantifiers built from cost and yield functions

Santos, Tiago Da Costa

Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Física 2022-04-28

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  • Título:
    Contextuality Quantifiers built from cost and yield functions
  • Autor: Santos, Tiago Da Costa
  • Orientador: Amaral, Barbara Lopes
  • Assuntos: Contextualidade; Propriedades Globais; Nãolocalidade; Monótonos; Física Quântica; Teoria De Recursos; Monotones; Global Properties; Nonlocality; Contextuality; Quantum Physics; Resource Theory
  • Notas: Dissertação (Mestrado)
  • Descrição: Resource theories constitute a powerful theoretical framework and a tool that captures, in an abstract structure, pragmatic aspects of the most varied theories and processes. For physical theories, while this framework deals directly with questions about the concrete possibilities of carrying out tasks and processes, resource theories also make it possible to recast these already established theories on a new language, providing not only new perspectives on the potential of physical phenomena as valuable resources for technological development, for example, but they also provide insights into the very foundations of these theories. In this work, we will investigate some properties of a resource theory for quantum contextuality, an essential characteristic of quantum phenomena that ensures the impossibility of interpreting the results of quantum measurements as revealing properties that are independent of the set of measurements being made. We will present the resource theory to be studied and investigate certain global properties of this theory using tools and methods that, although already developed and studied by the community in other resource theories, had not yet been used to characterize resource theories of contextuality. In particular, we will use the so called cost and yield monotones, making use of their power in the study of resource theories for nonlocality, in an attempt to extend these results to this more general class of phenomena, contextuality.
  • DOI: 10.11606/D.43.2022.tde-07062022-072957
  • Editor: Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Física
  • Data de criação/publicação: 2022-04-28
  • Formato: Adobe PDF
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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