Details
| Original language | English |
|---|---|
| Article number | 012465 |
| Number of pages | 12 |
| Journal | Physical Review A |
| Volume | 110 |
| Issue number | 1 |
| Publication status | Published - 31 Jul 2024 |
Abstract
Computational power in measurement-based quantum computing stems from the symmetry-protected topological (SPT) order of entangled resource states. However, resource states are prone to preparation errors. We introduce a quantum error correction approach using redundant nonlocal symmetry of the resource state. We demonstrate it within a teleportation protocol based on extending the Z2×Z2 symmetry of one-dimensional cluster states to other graph states. Qubit ZZ-crosstalk errors, which are prominent in quantum devices, degrade the teleportation fidelity of the usual cluster state. However, as we demonstrate on quantum hardware, once we grow graph states with redundant symmetry, perfect teleportation fidelity is restored. We identify the underlying redundant-SPT order as error-protected degeneracies in the entanglement spectrum.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 110, No. 1, 012465, 31.07.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Redundant string symmetry-based error correction
T2 - Demonstrations on quantum devices
AU - Qin, Zhangjie
AU - Azses, Daniel
AU - Sela, Eran
AU - Raussendorf, Robert
AU - Scarola, V. W.
N1 - Publisher Copyright: © 2024 American Physical Society.
PY - 2024/7/31
Y1 - 2024/7/31
N2 - Computational power in measurement-based quantum computing stems from the symmetry-protected topological (SPT) order of entangled resource states. However, resource states are prone to preparation errors. We introduce a quantum error correction approach using redundant nonlocal symmetry of the resource state. We demonstrate it within a teleportation protocol based on extending the Z2×Z2 symmetry of one-dimensional cluster states to other graph states. Qubit ZZ-crosstalk errors, which are prominent in quantum devices, degrade the teleportation fidelity of the usual cluster state. However, as we demonstrate on quantum hardware, once we grow graph states with redundant symmetry, perfect teleportation fidelity is restored. We identify the underlying redundant-SPT order as error-protected degeneracies in the entanglement spectrum.
AB - Computational power in measurement-based quantum computing stems from the symmetry-protected topological (SPT) order of entangled resource states. However, resource states are prone to preparation errors. We introduce a quantum error correction approach using redundant nonlocal symmetry of the resource state. We demonstrate it within a teleportation protocol based on extending the Z2×Z2 symmetry of one-dimensional cluster states to other graph states. Qubit ZZ-crosstalk errors, which are prominent in quantum devices, degrade the teleportation fidelity of the usual cluster state. However, as we demonstrate on quantum hardware, once we grow graph states with redundant symmetry, perfect teleportation fidelity is restored. We identify the underlying redundant-SPT order as error-protected degeneracies in the entanglement spectrum.
UR - http://www.scopus.com/inward/record.url?scp=85200450959&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2310.12854
DO - 10.48550/arXiv.2310.12854
M3 - Article
AN - SCOPUS:85200450959
VL - 110
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 1
M1 - 012465
ER -