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Topological Qubits from Valence Bond Solids.
Dongsheng Wang, I. Affleck, R. Raussendorf·August 16, 2017·DOI: 10.1103/PhysRevLett.120.200503
MathematicsPhysicsMedicine
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Abstract
Topological qubits based on SU(N)-symmetric valence-bond solid models are constructed. A logical topological qubit is the ground subspace with twofold degeneracy, which is due to the spontaneous breaking of a global parity symmetry. A logical Z rotation by an angle 2π/N, for any integer N>2, is provided by a global twist operation, which is of a topological nature and protected by the energy gap. A general concatenation scheme with standard quantum error-correction codes is also proposed, which can lead to better codes. Generic error-correction properties of symmetry-protected topological order are also demonstrated.