Topologically protected qubits from a possible non-Abelian fractional quantum Hall state.

摘要: The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at a Landau-level filling fraction $\ensuremath{\nu}=5/2$. This particularly intriguing because this has unusual topological properties, including quasiparticle excitations with non-Abelian braiding statistics. In order to determine nature of $\ensuremath{\nu}=5/2$ state, one must measure Here, we propose experiment which can simultaneously statistics and, if they prove be non-Abelian, produce topologically protected qubit on logical Not operation performed by braiding. Using measured excitation gap $\ensuremath{\nu}=5/2$, estimate error rate ${10}^{\ensuremath{-}30}$ or lower.