The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Subsystem Fault Tolerance with the Bacon-Shor Code
Open accessAbstract
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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Citations
Cites
Scheme for reducing decoherence in quantum computer memory
Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479
Quantum computing with realistically noisy devices
Knill, E. (2005) · Nature · doi:10.1038/nature03350 · Cited by 1,184
Theory of Quantum Error Correction for General Noise
Knill, E., Laflamme, R., & Viola, L. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2525 · Cited by 866
Operator quantum error-correcting subsystems for self-correcting quantum memories
Bacon, D. (2006) · Physical Review A · doi:10.1103/physreva.73.012340 · Cited by 486
Quantum accuracy threshold for concatenated distance-3 code
Aliferis, P., Gottesman, D., & Preskill, J. (2006) · Quantum Information and Computation · doi:10.26421/qic6.2-1 · Cited by 412
Self-citationStabilizer Formalism for Operator Quantum Error Correction
Poulin, D. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.230504 · Cited by 375
Active Stabilization, Quantum Computation, and Quantum State Synthesis
Steane, A. M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2252 · Cited by 308
Proc. 26th annual symposium on Foundations of computer science
Tarjan, R. E. (1985) · Cited by 258
Fault-tolerant quantum computation for local non-Markovian noise
Terhal, B. M., & Burkard, G. (2005) · Physical Review A · doi:10.1103/physreva.71.012336 · Cited by 191
Operator quantum error correction
Kribs, D. W., & Poulin, D. (2013) · Cambridge University Press eBooks · doi:10.1017/cbo9781139034807.008 · Cited by 102
Noise threshold for a fault-tolerant two-dimensional lattice architecture
Svore, K. M., Divincenzo, D. P., & Terhal, B. M. (2007) · Quantum Information and Computation · doi:10.26421/qic7.4-2 · Cited by 95
Operator quantum error correction
Kribs, D. W., Laflamme, R., Poulin, D., & Lesosky, M. (2006) · Quantum Information and Computation · doi:10.26421/qic6.4-5-6 · Cited by 73
Noise Threshold for a Fault-Tolerant Two-Dimensional Lattice ArchitecturePreprint
Svore, K. M., Divincenzo, D. P., & Terhal, B. M. (2006) · Cited by 63
Protected realizations of quantum information
Knill, E. H. (2006) · Physical Review A · doi:10.1103/physreva.74.042301 · Cited by 58
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Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Quantum error correction for beginners
Devitt, S. J., Munro, W. J., & Nemoto, K. (2013) · Reports on Progress in Physics · doi:10.1088/0034-4885/76/7/076001 · Cited by 842
Noise tailoring for scalable quantum computation via randomized compiling
Wallman, J. J., & Emerson, J. (2016) · Physical Review A · doi:10.1103/physreva.94.052325 · Cited by 535
Fault-Tolerant Quantum Computation with Constant Error Rate
Aharonov, D., & Ben-Or, M. (2008) · SIAM Journal on Computing · doi:10.1137/s0097539799359385 · Cited by 513
Blume-Kohout, R., Gamble, J. K., Nielsen, E., Rudinger, K., Mizrahi, J., Fortier, K., & Maunz, P. (2017) · Nature Communications · doi:10.1038/ncomms14485 · Cited by 429
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
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