99 citations · 266 across the 3 of their papers we have counts for
3 papers
quant-ph2009★ 71 cited
Topological Quantum Computing with Read-Rezayi States
L. Hormozi, N. E. Bonesteel, S. H. Simon
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 pr…
cond-mat.mes-hall2009★ 96 cited
Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
M. Baraban, G. Zikos, N. Bonesteel +1
We demonstrate numerically that non-Abelian quasihole excitations of the fractional quantum Hall state have some of the key properties necessary to support quantum computa…
quant-ph2006★ 99 cited
Topological Quantum Compiling
L. Hormozi, G. Zikos, N. E. Bonesteel +1
A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method i…