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  • Title: Topologically protected qubits from a possible non-Abelian fractional quantum Hall state.
    Author: Das Sarma S, Freedman M, Nayak C.
    Journal: Phys Rev Lett; 2005 Apr 29; 94(16):166802. PubMed ID: 15904258.
    Abstract:
    The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at a Landau-level filling fraction nu=5/2. This is particularly intriguing because this state has unusual topological properties, including quasiparticle excitations with non-Abelian braiding statistics. In order to determine the nature of the nu=5/2 state, one must measure the quasiparticle braiding statistics. Here, we propose an experiment which can simultaneously determine the braiding statistics of quasiparticle excitations and, if they prove to be non-Abelian, produce a topologically protected qubit on which a logical Not operation is performed by quasiparticle braiding. Using the measured excitation gap at nu=5/2, we estimate the error rate to be 10(-30) or lower.
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