Details
| Original language | English |
|---|---|
| Article number | 032312 |
| Journal | Physical Review A |
| Volume | 95 |
| Issue number | 3 |
| Publication status | Published - 9 Mar 2017 |
| Externally published | Yes |
Abstract
Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the one-dimensional qubit cluster state, and the other as the higher-symmetry generalizations of the spin-1 Affleck-Kennedy-Lieb-Tasaki (AKLT) state, namely, with unitary, orthogonal, or symplectic symmetry. The symmetry in cluster states protects information propagation (identity gate), while the higher symmetry in AKLT-type states enables nontrivial gate computation. This work demonstrates a close connection between measurement-based quantum computation and symmetry-protected topological order.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 95, No. 3, 032312, 09.03.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Qudit quantum computation on matrix product states with global symmetry
AU - Wang, Dong Sheng
AU - Stephen, David T.
AU - Raussendorf, Robert
N1 - Funding Information: This work is supported by NSERC and Cifar. R.R. acknowledges the support of the Cifar Program in Quantum Information Science.
PY - 2017/3/9
Y1 - 2017/3/9
N2 - Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the one-dimensional qubit cluster state, and the other as the higher-symmetry generalizations of the spin-1 Affleck-Kennedy-Lieb-Tasaki (AKLT) state, namely, with unitary, orthogonal, or symplectic symmetry. The symmetry in cluster states protects information propagation (identity gate), while the higher symmetry in AKLT-type states enables nontrivial gate computation. This work demonstrates a close connection between measurement-based quantum computation and symmetry-protected topological order.
AB - Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the one-dimensional qubit cluster state, and the other as the higher-symmetry generalizations of the spin-1 Affleck-Kennedy-Lieb-Tasaki (AKLT) state, namely, with unitary, orthogonal, or symplectic symmetry. The symmetry in cluster states protects information propagation (identity gate), while the higher symmetry in AKLT-type states enables nontrivial gate computation. This work demonstrates a close connection between measurement-based quantum computation and symmetry-protected topological order.
UR - http://www.scopus.com/inward/record.url?scp=85015436053&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1609.07174
DO - 10.48550/arXiv.1609.07174
M3 - Article
AN - SCOPUS:85015436053
VL - 95
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 3
M1 - 032312
ER -