On acyclic anyon models

Abstract

Acyclic anyon models are non-abelian anyon models for which thermal anyon errors can be corrected. In this note, we characterize acyclic anyon models and raise the question whether the restriction to acyclic anyon models is a deficiency of the current protocol or could it be intrinsically related to the computational power of non-abelian anyons. We also obtain general results on acyclic anyon models and find new acyclic anyon models such as $SO(8)_2$ and the representation theory of Drinfeld doubles of nilpotent finite groups.

César Galindo

Associate Professor of Mathematics

My research interests include representation theory, category theory and their applications to Mathematical-Physics.