Quantum Automorphism Groups of Some Classes of Graphs
By Paul Meunier
Simple combinatorial objects like finite graphs can reveal hidden endemically quantum behaviors. In the same way that the symmetries of a graph are encoded in its automorphism group, its quantum symmetries are encoded in its quantum automorphism group. Surprisingly, the latter can be very different from the former, and a graph can have much more symmetries in the quantum world than it has in the classical world. In this talk, after introducing the topic, I will present some of these examples as well as recent computations of quantum automorphism groups for some classes of graphs.