The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.
Fault-tolerant thresholds for quantum error correction with the surface code
Open accessAbstract
The surface code is a promising candidate for fault-tolerant quantum computation, achieving a high threshold error rate with nearest-neighbor gates in two spatial dimensions. Here, through a series of numerical simulations, we investigate how the precise value of the threshold depends on the noise model, measurement circuits, and decoding algorithm. We observe thresholds between 0.502(1)% and 1.140(1)% per gate, values which are generally lower than previous estimates.
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“This threshold behaviour can be subtle58, and there exists a crossover regime in which, owing to finite-size effects, increasing system size initially suppresses the logical error per cycle before later increasing it.”
From Suppressing quantum errors by scaling a surface code logical qubit (2023) · cites this paper as [58]
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Surface codes: Towards practical large-scale quantum computation
Fowler, A. G., Mariantoni, M., Martinis, J. M., & Cleland, A. N. (2012) · Physical Review A · doi:10.1103/physreva.86.032324 · Cited by 3,059
Edmonds, J. (1965) · Canadian Journal of Mathematics · doi:10.4153/cjm-1965-045-4 · Cited by 2,428
Monte Carlo and quasi-Monte Carlo methods
Caflisch, R. E. (1998) · Acta Numerica · doi:10.1017/s0962492900002804 · Cited by 1,783
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Bravyi, S., & Kitaev, A. (2005) · Physical Review A · doi:10.1103/physreva.71.022316 · Cited by 1,525
Dennis, E., Kitaev, A., Landahl, A., & Preskill, J. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,485
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Kitaev, A. Y. (1997) · Russian Mathematical Surveys · doi:10.1070/rm1997v052n06abeh002155 · Cited by 1,424
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Knill, E. (2005) · Nature · doi:10.1038/nature03350 · Cited by 1,184
Fault-Tolerant Quantum Computation with High Threshold in Two Dimensions
Raussendorf, R., & Harrington, J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.190504 · Cited by 812
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- P. Aliferis, 2006, Quantum Inf. Comput., 6, 97
- D. Aharonov, 1998, Proceedings of the 29th Annual ACM Symposium on the Theory of Computation
- K. M. Svore, 2007, Quantum Inf. Comput., 7, 297
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- D. S. Wang, 2010, Quantum Inf. Comput., 10, 456
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Cited by
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Quantum computational chemistry
McArdle, S., Endo, S., Aspuru-Guzik, A., Benjamin, S. C., & Yuan, X. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.015003 · Cited by 1,621
Suppressing quantum errors by scaling a surface code logical qubit
Google Quantum, A. I., Acharya, R., Aleiner, I., Allen, R., Andersen, T. I., Ansmann, M., Arute, F., Arya, K., Asfaw, A., Atalaya, J., et al. (2023) · Nature · doi:10.1038/s41586-022-05434-1 · Cited by 1,103
Realizing repeated quantum error correction in a distance-three surface code
Krinner, S., Lacroix, N., Remm, A., Di Paolo, A., Genois, E., Leroux, C., Hellings, C., Lazar, S., Swiadek, F., Herrmann, J., et al. (2022) · Nature · doi:10.1038/s41586-022-04566-8 · Cited by 686
A Survey on quantum computing technology
Gyongyosi, L., & Imre, S. (2019) · Computer Science Review · doi:10.1016/j.cosrev.2018.11.002 · Cited by 646
Low-distance surface codes under realistic quantum noise
Tomita, Y., & Svore, K. M. (2014) · Physical Review A · doi:10.1103/physreva.90.062320 · Cited by 314
“Figure 2 shows the standard quantum circuit for measuring the stabilizers [1, 9], where data qubit b corresponds to the top (north) qubit and c corresponds to the bottom (south) qubit of each diamond patch in Fig.”
Background
Metadata
- Authors
- Stephens, A. M.
- Affiliations
- National Institute of Informatics (JP)
- Corresponding author
- Stephens, Ashley M.
- ORCID
- Stephens, Ashley M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2014-02-14
- Volume
- 89
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2044503188
- Cited by
- 133
- References
- 52
- Citations by year
- 2026: 13 · 2025: 11 · 2024: 15 · 2023: 17 · 2022: 17 · 2021: 8 · 2020: 7 · 2019: 4 · 2018: 11 · 2017: 12 · 2016: 4 · 2015: 6 · 2014: 8
- FWCI
- 9.88
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- surface code, fault-tolerant quantum computing, error threshold, quantum error correction, noise models, measurement circuit, decoding algorithms
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