Twisted Interferometry: the topological perspective
  Three manifold topology is used to analyze the effect of anyonic interferometers in which the probe anyons' path along an arm crosses itself, leading to a "twisted" or braided space-time trajectory for the probe anyons. In the case of Ising non-Abelian anyons, twisted interferometry is shown to be able to generate a topologically protected $\pi/8$-phase gate, which cannot be generated from quasiparticle braiding. 
Parsa Bonderson, Lukasz Fidkowski, Michael Freedman, Kevin Walker
quant-ph cond-mat.mes-hall cond-mat.str-el