2026-06-29T09:33:20Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/121612023-08-04T00:16:16Zcom_20.500.14352_14col_20.500.14352_15

Random constructions in Bell Inequalities: a survey Palazuelos, Carlos 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 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-17T12:28:00Z 2023-06-17T12:28:00Z 2018-01 journal article https://hdl.handle.net/20.500.14352/12161 1572-9516 10.1007/s10701-017-0135-y eng open access application/pdf Springer