Geometrical approach to SU(2) navigation with Fibonacci anyons
Quantum Physics
2009-11-13 v1 Other Condensed Matter
Geometric Topology
Abstract
Topological quantum computation with Fibonacci anyons relies on the possibility of efficiently generating unitary transformations upon pseudoparticles braiding. The crucial fact that such set of braids has a dense image in the unitary operations space is well known; in addition, the Solovay-Kitaev algorithm allows to approach a given unitary operation to any desired accuracy. In this paper, the latter task is fulfilled with an alternative method, in the SU(2) case, based on a generalization of the geodesic dome construction to higher dimension.
Keywords
Cite
@article{arxiv.0801.2860,
title = {Geometrical approach to SU(2) navigation with Fibonacci anyons},
author = {Remy Mosseri},
journal= {arXiv preprint arXiv:0801.2860},
year = {2009}
}
Comments
12 pages, 5 figures