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Não-localidade e contextualidade em cenários de Bell estendidos

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Author(s):
André Saugo Mazzari
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
Defense date:
Examining board members:
Rafael Luiz da Silva Rabelo; Ricardo Luís Doretto; Pawel Kurzynski
Advisor: Rafael Luiz da Silva Rabelo
Abstract

Bell nonlocality and Kochen-Specker contextuality are among the most counter-intuitive phenomena present in quantum mechanics. The first deals with strong correlations between spatially separated systems that cannot be explained classically, while the second considers results of measurements that cannot be explained without taking into account the whole context of other measurements that are being performed. Beyond the fundamental interest, both of them are being used for quantum technologies. In this master's project, it was explored the framework of extended Bell scenarios, proposed in recent years, which allows treating in a unified mathematical formalism the phenomena of nonlocality and contextuality. Original developments were obtained inside this formalism, in which it was discovered and explored new possible sets for the correlations in a measurement scenario. Specifically, new possibilities for the local models were found and explored, which are not present in standard Bell scenarios. The relation between quantum correlations and local models was also explored. Besides, it was investigated different forms of defining local and non-contextual correlations. In special, the framework of extended Bell scenarios was applied to questions regarding monogamy relations. These are about situations in which different phenomena cannot be jointly observed. In an important result present in the literature, a monogamy relation between nonlocality and contextuality was found, considering the most simple situations in which these phenomena can be observed. In this master's project, it was realized that this question demands the framework of extended scenarios, and once this is considered, there is actually no monogamy. Based on a proposal of our group, an experimental verification of this theoretical discovery was made by the group of Professor Peng Xue in China. Moreover, it was found strong numerical evidence that there is no monogamy between nonlocality and contextuality in any scenario (AU)

FAPESP's process: 21/01502-6 - Bell nonlocality and Kochen-Specker contextuality
Grantee:André Saugo Mazzari
Support Opportunities: Scholarships in Brazil - Master