Topological Quantum Compiling
Quantum Physics
2007-05-23 v2 Mesoscale and Nanoscale Physics
Abstract
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 is based on the observation that a universal set of quantum gates acting on qubits encoded using triplets of these quasiparticles can be built entirely out of three-stranded braids (three-braids). These three-braids can then be efficiently compiled and improved to any required accuracy using the Solovay-Kitaev algorithm.
Cite
@article{arxiv.quant-ph/0610111,
title = {Topological Quantum Compiling},
author = {L. Hormozi and G. Zikos and N. E. Bonesteel and S. H. Simon},
journal= {arXiv preprint arXiv:quant-ph/0610111},
year = {2007}
}
Comments
20 pages, 20 figures, published version