RT Journal Article
T1 Survey on nonlocal games and operator space theory.
A1 Palazuelos Cabezón, Carlos
A1 Vidick, Thomas
AB 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.
PB American Institute of Physics
SN 0022-2488
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24367
UL https://hdl.handle.net/20.500.14352/24367
LA eng
NO Comunidad de Madrid
NO Ministerio de Economía y Competitividad (MINECO)
NO Ramón y Cajal program, and the European CHIST-ERA project CQC
NO IQIM, an NSF Physics Frontiers Center
NO Gordon and Betty Moore Foundation
NO Ministry of Education, Singapore
DS Docta Complutense
RD 17 abr 2025