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 the interferometer to have certain additional features to obtain the coefficients.
@article{arxiv.cond-mat/0601594,
title = {Proposal for reading out anyon qubits in non-abelian $\nu = 12/5$ quantum Hall state},
author = {Suk Bum Chung and Michael Stone},
journal= {arXiv preprint arXiv:cond-mat/0601594},
year = {2012}
}
Comments
16 pages, 2 figures, Latex. Reference added, some errors corrected, some content changed, some changes in the abstract