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quant-ph2000★ 108 cited
A modular functor which is universal for quantum computation
Michael Freedman, Michael Larsen, Zhenghan Wang
We show that the topological modular functor from Witten-Chern-Simons theory is universal for quantum computation in the sense a quantum circuit computation can be efficiently appr…
quant-ph2000★ 263 cited
Simulation of topological field theories by quantum computers
Michael H. Freedman, Alexei Kitaev, Zhenghan Wang
Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian…