230 citations · 817 across the 20 of their papers we have counts for
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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…
Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen, Jiannis K. Pachos
We demonstrate how to directly study non-Abelian statistics for a wide class of exactly solvable many-body quantum systems. By employing exact eigenstates to simulate the adiabatic…