RT Journal Article T1 Reducing the number of questions in nonlocal games A1 Junge, M. A1 Oikhberg, T. A1 Palazuelos Cabezón, Carlos AB We 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). PB American Institute of Physics Inc. SN 00222488 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/23041 UL https://hdl.handle.net/20.500.14352/23041 LA eng NO Ministerio de Economía y Competitividad (MINECO) NO Comunidad de Madrid NO ICMAT Severo Ochoa DS Docta Complutense RD 4 abr 2025