Reducing the number of questions in nonlocal games

M. Junge, T. Oikhberg, C. Palazuelos

Research output: Contribution to journalArticlepeer-review

Abstract

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).

Original languageEnglish (US)
Article number102203
JournalJournal of Mathematical Physics
Volume57
Issue number10
DOIs
StatePublished - Oct 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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