Noncommutative geometry studies 'quantum' generalizations of well-
known,'classical' mathematical objects, such as sets, groups and
topologicalspaces. These 'quantum' objects are all described by certai
nnoncommutative 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
quantum Kneser graphs and their properties.