Seminarium KMMF "Teoria Dwoistości"

Noncommutative geometry studies 'quantum' generalizations of well-known,'classical' mathematical objects, such as sets, groups and topologicalspaces. These 'quantum' objects are all described by certainnoncommutative algebras. In this talk, I present an introduction to thetheory of quantum graphs, starting with their physical motivation -confusability graphs of quantum channels. Then I present other,alternative methods of quantizing graphs and show how they are connectedto each other. Lastly, I present the results of my research on quantumKneser graphs and their properties.