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

Abstract

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.

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

References in corpus (2)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics

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• Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State
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