Towards universal topological quantum computation in the ν = 5 2 fractional quantum Hall state

  title={Towards universal topological quantum computation in the $\nu$ = 5 2 fractional quantum Hall state},
  author={Michael H. Freedman and C. Nayak and Kevin Walker},
  journal={Physical Review B},
The Pfaffian state, which may describe the quantized Hall plateau observed at Landau level filling fraction $\ensuremath{\nu}=\frac{5}{2}$, can support topologically-protected qubits with extremely low error rates. Braiding operations also allow perfect implementation of certain unitary transformations of these qubits. However, in the case of the Pfaffian state, this set of unitary operations is not quite sufficient for universal quantum computation (i.e. is not dense in the unitary group). If… 
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