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.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2005
- DOI:
- arXiv:
- arXiv:cond-mat/0412343
- Bibcode:
- 2005PhRvL..94p6802D
- Keywords:
-
- 73.43.Fj;
- 03.67.Lx;
- 03.67.Mn;
- 03.67.Pp;
- Novel experimental methods;
- measurements;
- Quantum computation;
- Entanglement production characterization and manipulation;
- Quantum error correction and other methods for protection against decoherence;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect;
- Quantum Physics
- E-Print:
- Phys. Rev. Lett. 94, 166802 (2005)