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Cited by 525Quantum Computing Algorithms and ArchitectureCoding theory and cryptographyQuantum Information and Cryptography

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Simple quantum error-correcting codes

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Steane, A. M.·1996·Physical Review A
DOI 10.1103/physreva.54.4741
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Abstract

Methods of finding good quantum error-correcting codes are discussed, and many example codes are presented. The recipe ${\mathit{C}}_{2}^{\mathrm{\ensuremath{\perp}}}$\ensuremath{\subset}${\mathit{C}}_{1}$, where ${\mathit{C}}_{1}$ and ${\mathit{C}}_{2}$ are classical codes, is used to obtain codes for up to 16 information quantum bits (qubits) with correction of small numbers of errors. The results are tabulated. More efficient codes are obtained by allowing ${\mathit{C}}_{1}$ to have reduced distance, and introducing sign changes among the code words in a systematic manner. This systematic approach leads to single-error-correcting codes for 3, 4, and 5 information qubits with block lengths of 8, 10, and 11 qubits, respectively. \textcopyright{} 1996 The American Physical Society.

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Crossref · 10.1103/physreva.54.4741

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Metadata

Authors
Steane, A. M.
Affiliations
University of Oxford (GB)
Corresponding author
Steane, A. M.
ORCID
Steane, A. M.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
1996-12-01
Volume
54
Issue
6
Pages
4741-4751
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.54.4741
OpenAlex
W2063592138
Cited by
522
References
15
Citations by year
2026: 28 · 2025: 50 · 2024: 34 · 2023: 37 · 2022: 37 · 2021: 21 · 2020: 37 · 2019: 20 · 2018: 17 · 2017: 12 · 2016: 15 · 2015: 17 · 2014: 14 · 2013: 14 · 2012: 11
FWCI
16.25
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Royal Society
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Coding theory and cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
Keywords
quantum error-correcting codes, CSS construction, classical codes, qubits, single-error-correcting codes, code distance, systematic codes, block length, quantum information

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