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Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State | | Sankar Das Sarma
; Michael Freedman
; Chetan Nayak
; | | Date: |
14 Dec 2004 | | Journal: | Phys. Rev. Lett. 94, 166802 (2005) | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall quant-ph | | Abstract: | The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at Landau level filling fraction $
u=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 $
u=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 $
u=5/2$, we estimate the error rate to be $10^{-30}$ or lower. | | Source: | arXiv, cond-mat/0412343 | | Services: | Forum | Review | PDF | Favorites | |
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