3 papers
math.QA2019
Fusion rules for permutation extensions of modular tensor categories
Colleen Delaney
We give a construction and algorithmic description of the fusion ring of permutation extensions of an arbitrary modular tensor category using a combinatorial approach inspired by t…
math.QA2018
Symmetry defects and their application to topological quantum computing
Colleen Delaney, Zhenghan Wang
We describe the mathematical theory of topological quantum computing with symmetry defects in the language of fusion categories and unitary representations. Symmetry defects togeth…
math.QA2016
Local unitary representations of the braid group and their applications to quantum computing
Colleen Delaney, Eric C. Rowell, Zhenghan Wang
We provide an elementary introduction to topological quantum computation based on the Jones representation of the braid group. We first cover the Burau representation and Alexander…