Abstract. Topological quantum computation with Fibonacci anyons relies on the possibility of efficiently generating unitary transformations upon pseudoparticles braiding. The crucial fact that such a set of braids has a dense image in the unitary operations space is well known; in addition, the Solovay–Kitaev algorithm allows us 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.

PACS numbers: 05.30.Pr, 03.67.Lx, 03.65.Ld

Print publication: Issue 17 (2 May 2008)
Received 17 January 2008
Published 15 April 2008