Geometrical approach to SU(2) navigation with Fibonacci anyons

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Mosseri, Remy
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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.
Comment: 12 pages, 5 figures
Keywords
Quantum Physics, Condensed Matter - Other Condensed Matter, Mathematics - Geometric Topology
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