Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State

Phys. Rev. Lett. 94, 166802 – Published 27 April 2005
Sankar Das Sarma, Michael Freedman, and Chetan Nayak

Abstract

The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at a Landau-level filling fraction ν=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 ν=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 ν=5/2, we estimate the error rate to be 10-30 or lower.

DOI: http://dx.doi.org/10.1103/PhysRevLett.94.166802

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  • Received 14 December 2004
  • Published 27 April 2005

© 2005 The American Physical Society

Authors & Affiliations

Sankar Das Sarma1, Michael Freedman2, and Chetan Nayak2,3

  • 1Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 2Microsoft Research, One Microsoft Way, Redmond, Washington 98052, USA
  • 3Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA

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