Topological quantum computation away from the ground state using Majorana fermions

  title={Topological quantum computation away from the ground state using Majorana fermions},
  author={A. Akhmerov},
  journal={Physical Review B},
  • A. Akhmerov
  • Published 30 April 2010
  • Physics
  • Physical Review B
We relax one of the requirements for topological quantum computation with Majorana fermions. Topological quantum computation was discussed so far as manipulation of the wave function within degenerate many body ground state. The simplest particles providing degenerate ground state, Majorana fermions, often coexist with extremely low energy excitations, so keeping the system in the ground state may be hard. We show that the topological protection extends to the excited states, as long as the… 
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