no code implementations • 5 Jan 2021 • Shawn X. Cui, Yang Qiu, Zhenghan Wang
We find modular tensor categories that realize candidate modular data constructed from Seifert fibered spaces and torus bundles over the circle that reveal many subtleties in the program.
Quantum Algebra Mathematical Physics Geometric Topology Mathematical Physics Quantum Physics 18M20, 57K16, 58J28
no code implementations • 4 Jan 2001 • Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
The theory of quantum computation can be constructed from the abstract study of anyonic systems.
Quantum Physics Geometric Topology
no code implementations • 29 Jan 2000 • Michael Freedman, Michael Larsen, Zhenghan Wang
The chief technical advance: the density of the irreducible sectors of the Jones representation, have topological implications which will be considered elsewhere.
Quantum Physics Geometric Topology
