@article{wang2002a,
author = {Wang, Zhenghan},
title = {A modular functor which is universal for quantum computation},
year = {2002},
month = {July},
abstract = {We show that the topological modular functor from Witten–Chern–Simons theory is universal for quantum computation in the sense that a quantum circuit computation can be efficiently approximated by an intertwining action of a braid on the functor’s state space. A computational model based on Chern–Simons theory at a fifth root of unity is defined and shown to be polynomially equivalent to the quantum circuit model. The chief technical advance: the density of the irreducible sectors of the Jones representation has topological implications which will be considered elsewhere.},
url = {http://approjects.co.za/?big=en-us/research/publication/modular-functor-universal-quantum-computation/},
journal = {Comm. Math. Phys. 227},
volume = {227},
}