Universal quantum computation with a non-Abelian topological memory

摘要

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