Random constructions in Bell Inequalities: a survey

Initially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been ma...

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Detalles Bibliográficos
Autor: Palazuelos, Carlos
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12161
Acceso en línea:https://hdl.handle.net/20.500.14352/12161
Access Level:acceso abierto
Palabra clave:530.145
Teoría de los Quanta
Teorema de Bell
Desigualdades de Bell
Bell inequalities
Quantum nonlocality
Probabilistic techniques
Teoría de los quanta
2210.23 Teoría Cuántica
Descripción
Sumario:Initially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been made in order to quantify such Bell violations. Probabilistic techniques have been heavily used in this context with two different purposes. First, to quantify how common the phenomenon of Bell violations is; and second, to find large Bell violations in order to better understand the possibilitiesand limitations of this phenomenon. However, the strong mathematical content of these results has discouraged some of the potentially interested readers. The aim of the present work is to review some of the recent results in this direction by focusing on the main ideas and removing most of the technical details, to make the previous study more accessible to a wide audience.