Much effort has been devoted recently to the search for experimental demonstrations of the exotic quantum statistics of quasiparticles in fractional quantum Hall (QH) systems. Braiding of non-abelian quasiparticles not only causes multiplication of the wave function by a complex phase factor but also induces a unitary transformation in the space of degenerate ground states. Experimental setups based on the QH analogue of the Fabry-Perot interferometer were predicted to show signatures of this non-abelian statistics. In this talk I will theoretically consider a "real-world version" of such setups and discuss recent experimental results.