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arXiv · 1311.6850

Quantum chromatic numbers via operator systems

Vern I. Paulsen·Ivan G. Todorov
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Abstract

We define several new types of quantum chromatic numbers of a graph and characterise them in terms of operator system tensor products. We establish inequalities between these chromatic numbers and other parameters of graphs studied in the literature and exhibit a link between them and non-signalling correlation boxes.

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Vern I. Paulsen, Ivan G. Todorov. 2013-11-26. Quantum chromatic numbers via operator systems. https://arxiv.org/abs/1311.6850

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