Proposal for reading out anyon qubits in non-Abelianν=12∕5quantum Hall state

Suk Bum Chung, Michael Stone
2006 Physical Review B  
To detect non-abelian statistics in the ν = 12/5 quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-abelian ν = 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 ν = 5/2 quantum Hall state, independent of the number of quasiholes. However, if the quasiholes are in a superposition state, it is necessary for
more » ... e interferometer to have certain additional features to obtain the coefficients.
doi:10.1103/physrevb.73.245311 fatcat:mygqiog755hejk2w5zhcra4xi4