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2008 J. Phys. A: Math. Theor. 41 175302 (12pp) doi: 10.1088/1751-8113/41/17/175302
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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) |
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