Probing Non-Abelian Statistics with Quasiparticle Interferometry*

We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, particularly the non-Abelian quantum Hall states that have recently been proposed as media for topologically protected quantum computation. We find a general expression for the current through a two point contact interferometer in these systems in terms of the topological S-matrix of the non-Abelian anyons. In particular, we give detailed results for the Read-Rezayi series of states, providing explicit predictions for the recently observed $nu=\frac{12}{5}$ quantum Hall plateau.