318 citations · 4.4k across the 146 of their papers we have counts for
4 papers · 2 filters
Anyonic Quantum Walks
Gavin K. Brennen, Demosthenes Ellinas, Viv Kendon +3
The one dimensional quantum walk of anyonic systems is presented. The anyonic walker performs braiding operations with stationary anyons of the same type ordered canonically on the…
Engineering complex topological memories from simple Abelian models
James R. Wootton, Ville Lahtinen, Benoit Doucot +1
In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibit…
Universal quantum computation with a non-Abelian topological memory
James R. Wootton, Ville Lahtinen, Jiannis K. Pachos
An explicit lattice realization of a non-Abelian topological memory is presented. The correspondence between logical and physical states is seen directly by use of the stabilizer f…
Universal Quantum Computation with Abelian Anyon Models
James R. Wootton, Jiannis K. Pachos
We consider topological quantum memories for a general class of abelian anyon models defined on spin lattices. These are non-universal for quantum computation when restricting to t…