A modular functor which is universal for quantum computation

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dc.creatorFreedman, Michael
dc.creatorLarsen, Michael
dc.creatorWang, Zhenghan
dc.date2000-01-29
dc.date2000-02-01
dc.date.accessioned2026-07-07T05:59:35Z
dc.date.available2026-07-07T05:59:35Z
dc.descriptionWe 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 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, have topological implications which will be considered elsewhere.
dc.identifierhttps://arxiv.org/abs/quant-ph/0001108
dc.identifierhttp://arxiv.org/abs/quant-ph/0001108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88733
dc.subjectQuantum Physics
dc.subjectGeometric Topology
dc.titleA modular functor which is universal for quantum computation
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