title: Topological quantum computing with Read-Rezayi states.
abstract: 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 not equal 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.
authors.affiliation: Joint Quantum Institute, National Institute of Standards and Technology, and University of Maryland, Gaithersburg, Maryland 20899, USA.
authors.forename: L
authors.initials: L
authors.lastname: Hormozi
authors.forename: N E
authors.initials: NE
authors.lastname: Bonesteel
authors.forename: S H
authors.initials: SH
authors.lastname: Simon