Decoherence-free subspaces of anyon states

In this paper, we propose decoherence-free subspaces (DFSs) of anyon states under two kinds of noises. The forms of collective dephasing and collective rotation noises are introduced. The invariance requirement under these noises give some restrictions of the winding number of anyons. We put forward a scheme to realize the DFS of anyon states in the Kitaev spin-lattice model, and give some discussion of general kinds of anyons.