University of Saskatchewan: The quanTA CRG Seminar

Hyperbolic Lattices are tessellations of the hyperbolic plane using, for instance, heptagons or octagons. They are relevant for quantum error correcting codes and experimental simulations of quantum physics in curved space. Underneath their perplexing beauty lies a hidden and, perhaps, unexpected periodicity that allows us to identify the unit cell and Bravais lattice for a given hyperbolic lattice. This paves the way for applying powerful concepts from solid state physics and, potentially, finding a generalization of Bloch's theorem to hyperbolic lattices. In my talk, I will explain some of the mathematics underlying this hyperbolic crystallography.