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arXiv · 0903.2239

Topological Quantum Computing with Read-Rezayi States

L. Hormozi·N. E. Bonesteel·S. H. Simon
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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 $k>2$, $k\neq4$. 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.

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L. Hormozi, N. E. Bonesteel, S. H. Simon. 2009-03-12. Topological Quantum Computing with Read-Rezayi States. https://doi.org/10.1103/physrevlett.103.160501

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