Games and Algebras

Samuel J. Harris () and Vern I. Paulsen ()
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Samuel J. Harris: Northern Arizona University, Department of Mathematics and Statistics
Vern I. Paulsen: University of Waterloo, Institute for Quantum Computing and Department of Pure Mathematics

Chapter 86 in Operator Theory, 2026, pp 2677-2732 from Springer

Abstract: Abstract We present an overview of the theory of nonlocal games and how games induce algebras. These algebras have been used to separate various sets of quantum correlations, leading to the resolution of problems of Connes, Kirchberg, and Tsirelson. We survey the theory of various families of games, including games arising from graph isomorphisms, graph colorings, and systems of equations.

Keywords: Quantum correlation; Nonlocal game; Connes’ embedding problem; Trace; Synchronous; Chromatic number; Graph isomorphism (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_83

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DOI: 10.1007/978-3-032-16356-1_83

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