318 citations · 4.4k across the 146 of their papers we have counts for
7 papers · 1 filter
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…
Detecting Majorana bound states
Colin Benjamin, Jiannis K. Pachos
We propose a set of interferometric methods on how to detect Majorana bound states induced by a topological insulator. The existence of these states can be easily determined by the…
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…
Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks
Paolo Maraner, Jiannis K. Pachos
The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and pa…
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…