2026-06-27T10:30:55Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/243672023-08-27T11:51:16Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Palazuelos Cabezón, Carlos author Vidick, Thomas author 2016 This review article is concerned with a recently ncovered connection between operator spaces, a noncommutative extension of Banach spaces, and quantum nonlocality, a striking phenomenon which underlies many of the applications of quantum mechanics to information theory, cryptography, and algorithms. Using the framework of nonlocal games, we relate measures of the nonlocality of quantum mechanics to certain norms in the Banach and operator space categories. We survey recent results that exploit this connection to derive large violations of Bell inequalities, study the complexity of the classical and quantum values of games and their relation to Grothendieck inequalities, and quantify the nonlocality of different classes of entangled states. 0022-2488 10.1063/1.4938052 https://hdl.handle.net/20.500.14352/24367 http://scitation.aip.org/content/aip/journal/jmp/57/1/10.1063/1.4938052 http://arxiv.org/pdf/1512.00419v1.pdf Survey on nonlocal games and operator space theory.