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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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16 pages, 2 figures, Latex. Reference added, some errors corrected, some content changed, some changes in the abstract

Scientific paper

10.1103/PhysRevB.73.245311

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.

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