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Subsystem Fault Tolerance with the Bacon-Shor Code
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We discuss how the presence of gauge subsystems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)10.1103/PhysRevA.73.012340 (2006)] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not require entangled ancillary states, and it can be implemented with nearest-neighbor two-qubit measurements. By using these methods, we prove a lower bound on the quantum accuracy threshold, 1.94 x 10(-4) for adversarial stochastic noise, that improves previous lower bounds by nearly an order of magnitude.
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“Immediately after that, Calderbank and Shor[13] and Steane[68] showed that good quantum error correcting codes exist”
From Fault-Tolerant Quantum Computation with Constant Error Rate (2008) · cites this paper as [13]
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Metadata
- Authors
- Aliferis, P., & Cross, A. W.
- Affiliations
- California Institute of Technology (US)
- IBM Research - Thomas J. Watson Research Center (US)
- ORCID
- Cross, Andrew W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-05-31
- Volume
- 98
- Issue
- 22
- Pages
- 220502-220502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1974123702
- Cited by
- 203
- References
- 14
- Citations by year
- 2026: 4 · 2025: 13 · 2024: 11 · 2023: 10 · 2022: 8 · 2021: 11 · 2020: 12 · 2019: 9 · 2018: 10 · 2017: 9 · 2016: 9 · 2015: 5 · 2014: 5 · 2013: 14 · 2012: 13
- FWCI
- 18.13
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- Bacon-Shor code, quantum error correction, lower bounds, adversarial perturbations
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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