Topological quantum computing with only one mobile quasiparticle.

@article{Simon2006TopologicalQC,
  title={Topological quantum computing with only one mobile quasiparticle.},
  author={Steven H. Simon and N. E. Bonesteel and Michael H. Freedman and N Petrovic and Layla Hormozi},
  journal={Physical review letters},
  year={2006},
  volume={96 7},
  pages={
          070503
        }
}
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 Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed. 
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