645 citations · 6.4k across the 135 of their papers we have counts for
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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…
On Generalized Symmetries and Structure of Modular Categories
Shawn X. Cui, Modjtaba Shokrian Zini, Zhenghan Wang
Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generali…
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…
On Topological Quantum Computing With Mapping Class Group Representations
Wade Bloomquist, Zhenghan Wang
We propose an encoding for topological quantum computation utilizing quantum representations of mapping class groups. Leakage into a non-computational subspace seems to be unavoida…
Acyclic anyon models, thermal anyon error corrections, and braiding universality
César Galindo, Eric C. Rowell, Zhenghan Wang
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 if the…