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Topological Quantum Computing with Only One Mobile Quasiparticle

S. H. Simon·N. E. Bonesteel·M. H. Freedman·N. Petrovic·L. Hormozi
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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 $n$ 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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S. H. Simon, N. E. Bonesteel, M. H. Freedman, N. Petrovic, L. Hormozi. 2006-03-07. Topological Quantum Computing with Only One Mobile Quasiparticle. https://doi.org/10.1103/physrevlett.96.070503

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