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math.QA2018
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…
math.QA2018
Asymptotic Faithfulness of Quantum Mapping Class Group Representations
Wade Bloomquist
We prove asymptotic faithfulness for the quantum mapping class group representation. This provides the first example of asymptotic faithfulness lying outside of th…
math.QA2018★ 1 cited
Admissibility and the Spider
Wade Bloomquist, Andres Mejia
A tensor category is multiplicity-free if for any objects we have that is either or dimensional. It is known that $Re…