1210.3446 (Lauri J. Lehman et al.)

Braiding Interactions in Anyonic Quantum Walks    [PDF]

Lauri J. Lehman, Vaclav Zatloukal, Jiannis K. Pachos, Gavin K. Brennen

The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the recent results on the effects of braiding statistics in anyonic quantum walks in quasi-one dimensional ladder geometries. For anyons which correspond to spin-1/2 irreps of the quantum groups $SU(2)_k$, the non-Abelian species $(1View original: http://arxiv.org/abs/1210.3446