Junge, M.Oikhberg, T.Palazuelos Cabezón, Carlos2023-06-182023-06-1820160022248810.1063/1.4965831https://hdl.handle.net/20.500.14352/23041We show how a vector-valued version of Schechtmans empirical method can be used to reduce the number of questions in a nonlocal game G while preserving the quotient β*(G)/β(G) of the quantum over the classical bias. We apply our method to the Khot-Vishnoi game, with exponentially many questions per player, to produce a family of games indexed in n with polynomially many (N ≈ n8) questions and n answers per player so that the ratio of the quantum over the classical bias is Ω(n/log2 n).engjournal articlehttp://scitation.aip.org/content/aip/journal/jmp/57/10/10.1063/1.4965831http://scitation.aip.org/open access517Análisis matemático1202 Análisis y Análisis Funcional