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Topological Quantum Computing
Topological qubits from valence bond solids
arXiv
Authors: Dong-Sheng Wang, Ian Affleck, Robert Raussendorf
Year
2017
Paper ID
44020
Status
Preprint
Abstract Read
~2 min
Abstract Words
93
Citations
N/A
Abstract
Topological qubits based on SU(N)-symmetric valence-bond solid models are constructed. A logical topological qubit is the ground subspace with two-fold degeneracy, which is due to the spontaneous breaking of a global parity symmetry. A logical Z-rotation by angle frac{2π}{N}, for any integer N > 2, is provided by a global twist operation, which is of 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.
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- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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- Topological qubits based on SU(N)-symmetric valence-bond solid models are constructed.
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