i will give a light introduction to the theory of quantum graphs. quantum graphs are non-commutative generalizations of finite graphs that arise naturally in many areas, including the study of zero-error capacities of quantum channels, quantum symmetry groups of graphs, and in the theory of non-local games. i will give an overview of some of these connections and explain some ongoing joint work with kari eifler, christian voigt and moritz weber, where we generalize the well-known graph $c^\ast$-algebra construction to the setting of quantum graphs.