Proposal for reading out anyon qubits in non-Abelian ν=12/5 quantum Hall state

To detect non-Abelian statistics in the nu=12/5 quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-Abelian nu=5/2 quantum Hall state. The result is that the amplitude of the Aharonov-Bohm oscillation of this interference is dependent on the internal states of quasiholes, but, in contrast to the nu=5/2 quantum Hall state, independent of the number of quasiholes. However, if the quasiholes are in a superposition state, it is necessary for the interferometer to have certain additional features to obtain the coefficients.