Quantum Hall wave functions based on S3 conformal field theories
PHYSICAL REVIEW B 81:12 (2010) ARTN 121301
Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
(2009)
Topological quantum computing with read-rezayi states
Physical Review Letters 103:16 (2009)
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≠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.Numerical analysis of quasiholes of the moore-read wave function
Physical Review Letters 103:7 (2009)