Topological Quantum Computing with Only One Mobile Quasiparticle

Details Topological Quantum Computing with Only One Mobile Quasiparticle Topological Quantum Computing with Only One Mobile Quasiparticle

2005-09-23

arxiv.org/abs/quant-ph/0509175v2

Phys.Rev.Lett. 96 (2006) 070503

Physics

Quantum Physics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.96.070503

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 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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