On a Tracial Version of Haemers Bound

We extend upper bounds on the quantum independence number and the quantum Shannon capacity of graphs to their counterparts in the commuting operator model. We introduce a von Neumann algebraic generalization of the fractional Haemers bound (over \mathbb {C} ) and prove that the generalization upper...

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Veröffentlicht in:	IEEE transactions on information theory 2022-10, Vol.68 (10), p.6585-6604
Hauptverfasser:	Gao, Li, Gribling, Sander, Li, Yinan
Format:	Artikel
Sprache:	eng
Schlagworte:	Additives Algebra Atmospheric measurements Commuting Games Graphs Haemers bound Lovász theta function Operators (mathematics) Particle measurements Quantum entanglement Quantum independence number Shannon capacities Upper bound Upper bounds
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