Charge-statistics separation and probing non-Abelian states for quantum Hall plateau at $\nu$=5/2

Several states were proposed for quantum Hall plateau at $\nu$=5/2. We suggest a transport experiment that can distinguish six of the candidate states. The proposal involves measurements of current and shot noise in a geometry with three quantum Hall edges connected by two quantum point contacts. Unlike interference experiments, this approach can distinguish Pfaffian and anti-Pfaffian states as well as different states with identical Pfaffian or anti-Pfaffian statistics. Moreover, the transport is not sensitive to the fluctuations of the number of quasiparticles trapped in the system.\\[0pt] [1] D. E. Feldman and Feifei Li, Phys. Rev. B {\bf78}, 161304(R) (2008).