Details
| Original language | English |
|---|---|
| Article number | 1215 |
| Journal | Quantum |
| Volume | 7 |
| Publication status | Published - 28 Dec 2023 |
Abstract
We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The formalism can handle finitely extended systems (as opposed to the thermodynamic limit), and does not require translation-invariance. Further, we strengthen the connection between MBQC computational power and string order. Namely, we establish that whenever a suitable set of string order parameters is non-zero, a corresponding set of unitary gates can be realized with fidelity arbitrarily close to unity.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Quantum, Vol. 7, 1215, 28.12.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Measurement-based quantum computation in finite one-dimensional systems
T2 - string order implies computational power
AU - Raussendorf, Robert
AU - Yang, Wang
AU - Adhikary, Arnab
N1 - Publisher Copyright: Copyright 2023 Blincow et al.
PY - 2023/12/28
Y1 - 2023/12/28
N2 - We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The formalism can handle finitely extended systems (as opposed to the thermodynamic limit), and does not require translation-invariance. Further, we strengthen the connection between MBQC computational power and string order. Namely, we establish that whenever a suitable set of string order parameters is non-zero, a corresponding set of unitary gates can be realized with fidelity arbitrarily close to unity.
AB - We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The formalism can handle finitely extended systems (as opposed to the thermodynamic limit), and does not require translation-invariance. Further, we strengthen the connection between MBQC computational power and string order. Namely, we establish that whenever a suitable set of string order parameters is non-zero, a corresponding set of unitary gates can be realized with fidelity arbitrarily close to unity.
UR - http://www.scopus.com/inward/record.url?scp=85182230958&partnerID=8YFLogxK
U2 - 10.22331/q-2023-12-28-1215
DO - 10.22331/q-2023-12-28-1215
M3 - Article
AN - SCOPUS:85182230958
VL - 7
JO - Quantum
JF - Quantum
SN - 2521-327X
M1 - 1215
ER -