Quantum Automorphism Groups of Some Classes of Graphs

Explore the fascinating world of quantum symmetries in graphs through this 48-minute lecture by Paul Meunier from KU Leuven, presented at the Institut des Hautes Etudes Scientifiques (IHES). Delve into how simple combinatorial objects like finite graphs can exhibit hidden quantum behaviors. Learn about the concept of quantum automorphism groups and how they encode quantum symmetries, drawing parallels with classical automorphism groups. Discover surprising examples where graphs possess significantly more symmetries in the quantum realm compared to their classical counterparts. Gain insights into recent computations of quantum automorphism groups for various graph classes. This talk offers an intriguing introduction to the topic, bridging the gap between classical graph theory and quantum mathematics.