Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 200503 |
Fachzeitschrift | Physical review letters |
Jahrgang | 120 |
Ausgabenummer | 20 |
Publikationsstatus | Veröffentlicht - 17 Mai 2018 |
Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Physical review letters, Jahrgang 120, Nr. 20, 200503, 17.05.2018.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Topological Qubits from Valence Bond Solids
AU - Wang, Dong Sheng
AU - Affleck, Ian
AU - Raussendorf, Robert
N1 - Funding Information: This work is funded by NSERC and Cifar. D.-S. W. acknowledges Y.-J. Wang for many suggestions, N. Delfosse, L. Jiang, and Z.-C. Gu for valuable discussions.
PY - 2018/5/17
Y1 - 2018/5/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85047424009&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.200503
DO - 10.1103/PhysRevLett.120.200503
M3 - Article
C2 - 29864353
AN - SCOPUS:85047424009
VL - 120
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 20
M1 - 200503
ER -