Topological Quantum Computing with Only One Mobile Quasiparticle
Quantum Physics
2009-11-11 v2 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In this paper we show that any such quantum computation that can be done by braiding identical quasiparticles can also be done by moving a single quasiparticle around n-1 other identical quasiparticles whose positions remain fixed.
Cite
@article{arxiv.quant-ph/0509175,
title = {Topological Quantum Computing with Only One Mobile Quasiparticle},
author = {S. H. Simon and N. E. Bonesteel and M. H. Freedman and N. Petrovic and L. Hormozi},
journal= {arXiv preprint arXiv:quant-ph/0509175},
year = {2009}
}
Comments
4 pages, 5 figures