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quant-ph2001
Topological Quantum Computation
Michael H. Freedman, Alexei Kitaev, Michael J. Larsen +1
The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors. They underli…
quant-ph2000
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…