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

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

Sankar Das Sarma
(
- Maryland U.
)
,
Michael Freedman
(
- Microsoft, Redmond
)
,
Chetan Nayak
(
- Microsoft, Redmond and
- UCLA
)

Apr 29, 2005

4 pages

Published in:

Phys.Rev.Lett. 94 (2005) 166802

e-Print:

cond-mat/0412343 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevLett.94.166802

View in:

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Abstract: (APS)

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.

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