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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.QA2018
On invariants of Modular categories beyond modular data
Parsa Bonderson, Colleen Delaney, César Galindo +3
We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on th…
math.QA2018
A systematic search of knot and link invariants beyond modular data
Colleen Delaney, Alan Tran
The smallest known example of a family of modular categories that is not determined by its modular data are the rank 49 categories for $G=\mathbb{Z}_{…