Universal quantum computation with a non-Abelian topological memory

Understand

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.