Phys. Rev. Lett. 103, 160501 (2009) [4 pages]Topological Quantum Computing with Read-Rezayi StatesReceived 23 March 2009; published 13 October 2009 Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with k>2, k≠4. This work extends previous results which only applied to the case k=3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.160501
DOI:
10.1103/PhysRevLett.103.160501
PACS:
03.67.Lx, 03.67.Pp, 73.43.−f
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