Details
| Original language | English |
|---|---|
| Article number | 010504 |
| Journal | Physical review letters |
| Volume | 119 |
| Issue number | 1 |
| Publication status | Published - 5 Jul 2017 |
| Externally published | Yes |
Abstract
We consider ground states of quantum spin chains with symmetry-protected topological (SPT) order as resources for measurement-based quantum computation (MBQC). We show that, for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase. This computational power, defined as the Lie group of executable gates in MBQC, is determined by the same algebraic information that labels the SPT phase itself. We prove that these Lie groups always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 119, No. 1, 010504, 05.07.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Computational Power of Symmetry-Protected Topological Phases
AU - Stephen, David T.
AU - Wang, Dong Sheng
AU - Prakash, Abhishodh
AU - Wei, Tzu Chieh
AU - Raussendorf, Robert
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. acknowledges support as a Cifar Quantum Information Science fellow.
PY - 2017/7/5
Y1 - 2017/7/5
N2 - We consider ground states of quantum spin chains with symmetry-protected topological (SPT) order as resources for measurement-based quantum computation (MBQC). We show that, for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase. This computational power, defined as the Lie group of executable gates in MBQC, is determined by the same algebraic information that labels the SPT phase itself. We prove that these Lie groups always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
AB - We consider ground states of quantum spin chains with symmetry-protected topological (SPT) order as resources for measurement-based quantum computation (MBQC). We show that, for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase. This computational power, defined as the Lie group of executable gates in MBQC, is determined by the same algebraic information that labels the SPT phase itself. We prove that these Lie groups always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
UR - http://www.scopus.com/inward/record.url?scp=85022188946&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.119.010504
DO - 10.1103/PhysRevLett.119.010504
M3 - Article
C2 - 28731749
AN - SCOPUS:85022188946
VL - 119
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 1
M1 - 010504
ER -