Fractionally charged quasiparticles in the quantum Hall state with a filling factor $\nu =5/2$ are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic Mach-Zehnder interferometer. The tunneling current through the interferometer exhibits a characteristic dependence on the magnetic flux and a nonanalytic dependence on the tunneling amplitudes which can be controlled by gate voltages.

• Received 21 July 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.186803