Details
| Original language | English |
|---|---|
| Article number | 200503 |
| Journal | Physical review letters |
| Volume | 120 |
| Issue number | 20 |
| Publication status | Published - 17 May 2018 |
| Externally published | Yes |
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 subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 120, No. 20, 200503, 17.05.2018.
Research output: Contribution to journal › Article › Research › 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 -