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arXiv · 1404.3640

Graph-theoretical Bounds on the Entangled Value of Non-local Games

André Chailloux·Laura Mančinska·Giannicola Scarpa·Simone Severini
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Abstract

We introduce a novel technique to give bounds to the entangled value of non-local games. The technique is based on a class of graphs used by Cabello, Severini and Winter in 2010. The upper bound uses the famous Lovász theta number and is efficiently computable; the lower one is based on the quantum independence number, which is a quantity used in the study of entanglement-assisted channel capacities and graph homomorphism games.

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André Chailloux, Laura Mančinska, Giannicola Scarpa, Simone Severini. 2015-02-27. Graph-theoretical Bounds on the Entangled Value of Non-local Games. https://doi.org/10.4230/lipics.tqc.2014.67

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