QUANTUM CHROMATIC NUMBERS VIA OPERATOR SYSTEMS
By Vern I. Paulsen, Ivan G. Todorov. 2013
61 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/114aed0db7a34199accf13a2a81fb256f2646bb3
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
In Mathematical Physics
Citations in the corpus
- Self-testing of quantum systems: a review (2019, methodology): “h [M a|x,N b|y] = 0. The commuting-operator model is used in algebraic quantum field theory and all such correlations are denoted by the set C qc. Thesetinclusionrelationdefinesahierarchy amongthesesets[PT15]: C q⊆C qs⊆C qa⊆C qc. (70) WhetherC qcisequivalenttoeitherC qsorC qaare problems known as Tsir”