Speaker
Weronika Wiesiolek
(Cambridge U., DAMTP)
Description
Abstract
Tensor networks give a very natural representation of systems with generalised symmetries, where the symmetry is described by a unitary fusion category. This talk will define in simple terms what those symmetries are, and how they are represented on discrete quantum systems (often spin systems) using tensor networks. Additionally, I will explain how to use those special tensor networks in algorithms, thus creating a link between abstract categorical symmetries and tangible methods of computing observables. I will comment on the relation of this topic to phase transitions and symmetry breaking.