Details
Original language | English |
---|---|
Article number | 012302 |
Journal | Physical Review A |
Volume | 96 |
Issue number | 1 |
Publication status | Published - 5 Jul 2017 |
Externally published | Yes |
Abstract
We investigate the usefulness of ground states of quantum spin chains with symmetry-protected topological order (SPTO) for measurement-based quantum computation. We show that, in spatial dimension 1, if an SPTO phase protects the identity gate, then, subject to an additional symmetry condition that is satisfied in all cases so far investigated, it can also be used for quantum computation.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 96, No. 1, 012302, 05.07.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Symmetry-protected topological phases with uniform computational power in one dimension
AU - Raussendorf, Robert
AU - Wang, Dong Sheng
AU - Prakash, Abhishodh
AU - Wei, Tzu Chieh
AU - Stephen, David T.
N1 - Funding Information: This work is supported by NSERC, the Canadian Institute for Advanced Research (Cifar), and the National Science Foundation under Grant No. PHY 1620252. R.R. is a fellow of the Cifar Quantum Information Science program.
PY - 2017/7/5
Y1 - 2017/7/5
N2 - We investigate the usefulness of ground states of quantum spin chains with symmetry-protected topological order (SPTO) for measurement-based quantum computation. We show that, in spatial dimension 1, if an SPTO phase protects the identity gate, then, subject to an additional symmetry condition that is satisfied in all cases so far investigated, it can also be used for quantum computation.
AB - We investigate the usefulness of ground states of quantum spin chains with symmetry-protected topological order (SPTO) for measurement-based quantum computation. We show that, in spatial dimension 1, if an SPTO phase protects the identity gate, then, subject to an additional symmetry condition that is satisfied in all cases so far investigated, it can also be used for quantum computation.
UR - http://www.scopus.com/inward/record.url?scp=85022187678&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.96.012302
DO - 10.1103/PhysRevA.96.012302
M3 - Article
AN - SCOPUS:85022187678
VL - 96
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 1
M1 - 012302
ER -