An analysis of the roles played by Born’s rule, Bell’s theorem and Bohr’s complementarity in the establishment of the quantum-classical boundary

This work contains a series of contributions that are related, in one form or another, with the placement of the quantum-classical boundary. Three results that have been widely taken as characteristic traits of quantum phenomena are here shown to appear in purely classical contexts as well. These...

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Autor Principal: De Zela Martínez, Francisco
Formato: Tesis de Doctorado
Idioma: eng
Publicado: Pontificia Universidad Católica del Perú 2018
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Acceso en línea: http://tesis.pucp.edu.pe/repositorio/handle/123456789/12495
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Sumario: This work contains a series of contributions that are related, in one form or another, with the placement of the quantum-classical boundary. Three results that have been widely taken as characteristic traits of quantum phenomena are here shown to appear in purely classical contexts as well. These are: Born’s rule, Bell violations and Bohr’s complementarity. This work discusses how Born’s rule may be derived from some basic assumptions that relate to measurements in general, thereby showing that said rule applies when dealing with both classical and quantum cases. Bell violations are ultimately based upon Born’s rule. Therefore, the applicability of the latter in a classical context leads to Bell violations in this very same context. We can therefore predict non-quantum Bell violations. Moreover, we report experimental results confirming these violations. Finally, we address Bohr’s complementarity in a quantitative way and derive an equation that links visibility and distinguishability – two complementary features of an interferometric array – with polarization, which can be seen as an “internal” degree of freedom.