Topological Order with a Twist: Ising Anyons from an Abelian Model
                                             H. Bombin

"Particle statistics are particularly rich in two spatial dimensions, where beyond the usual fermions and bosons there exist more generally anyons ... Anyonic statistics are complex enough to give rise to the notion of topological quantum computation (TQC) ... , where computations are carried out by braiding and fusing anyons; see.... The nonlocal encoding of quantum information on fusion channels and the topological nature of braiding make TQC naturally robust against local perturbations, providing a complement to fault-tolerant quantum computation ... "

PRL 105, 030403 (2010) PHYSICAL REVIEW LETTERS week ending 16 JULY 2010

Similarly observer-dependent cosmological and observer-independent black hole event horizons are like 2D quantum wells with an anyonic quantum field theory.