Hadamard’s Matrices, Grothendieck’s Constant, and Root Two

Dominique Fortin ()
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Dominique Fortin: Inria, Domaine de Voluceau, Rocquencourt

A chapter in Optimization and Optimal Control, 2010, pp 423-447 from Springer

Abstract: Summary. In this chapter, we start by a non-cooperative quantum game model for multiknapsack to give a flavor of quantum computing strength. Then, we show that many rank-deficient correlation matrices have Grothendieck’s constant that goes beyond $$\sqrt{2}$$ for sufficiently large size. It suggests that cooperative quantum games relate powerset entanglement with Grothendieck’s constant.

Keywords: non-cooperative quantum game; multiknapsack; entanglement; grothendieck’s constant (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-89496-6_20

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DOI: 10.1007/978-0-387-89496-6_20

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