## Topological Quantum Computing with Read-Rezayi States

Hormozi, L.
Bonesteel, N. E.
Simon, S. H.
##### Description
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 $k>2$, $k\neq4$. 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.
Comment: 5 pages, 3 figures
##### Keywords
Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics