Universal quantum computation with a non-abelian topological memory

  • Authors:

  • James R. Wootton;Ville Lahtinen;Jiannis K. Pachos

  • Affiliations:

  • School of Physics and Astronomy, University of Leeds, Leeds, UK;School of Physics and Astronomy, University of Leeds, Leeds, UK;School of Physics and Astronomy, University of Leeds, Leeds, UK

  • Venue:
  • TQC'09 Proceedings of the 4th international conference on Theory of Quantum Computation, Communication, and Cryptography
  • Year:
  • 2009

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Abstract

An explicit lattice realization of a non-Abelian topological memory is presented. The correspondence between logical and physical states is seen directly by use of the stabilizer formalism. The resilience of the encoded states against errors is studied and compared to that of other memories. A set of non-topological operations are proposed to manipulate the encoded states, resulting in universal quantum computation. This work provides insight into the non-local encoding non-Abelian anyons provide at the microscopical level, with an operational characterization of the memories they provide.