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

  • Dominique FortinEmail author
Part of the Springer Optimization and Its Applications book series (SOIA, volume 39)


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.


non-cooperative quantum game multiknapsack entanglement grothendieck’s constant 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Inria, Domaine de Voluceau, RocquencourtLe Chesnay CedexFrance

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