Everything about Error correction code

🧭 Start here: a 6-step reading path

1. Read the overview: Error correction codeA 5-minute orientation
2. Skim a recent paper: Realizing repeated quantum error correction in a distance-three surface codeInfluential work since 2022
3. Pick up a classic book: The art of error correcting codingThe most-reprinted book on the subject
4. Read the landmark paper: Error Detecting and Error Correcting CodesCited 4,474 times
5. Go sideways: Error detection and correctionA closely related topic
6. Go sideways: Low-density parity-check codeA closely related topic

🏆 Landmark papers (most cited)

• Error Detecting and Error Correcting Codes

  R. W. Hamming · 1950 · Bell System Technical Journal · 4,474 citations

• Quantum error correction below the surface code threshold

  Google Quantum AI and Collaborators, Rajeev Acharya, Dmitry A. Abanin · 2024 · Nature · 890 citations

• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code

  Arne L. Grimsmo, Shruti Puri · 2021 · PRX Quantum · 143 citations

• Flag Fault-Tolerant Error Correction for any Stabilizer Code

  Rui Chao, Ben W. Reichardt · 2020 · PRX Quantum · 92 citations

• Fault-tolerant error correction with the gauge color code

  Benjamin J. Brown, Naomi H. Nickerson, Dan E. Browne · 2016 · Nature Communications · 90 citations

• High Threshold Error Correction for the Surface Code

  James R. Wootton, Daniel Loss · 2012 · Physical Review Letters · 87 citations

• Continuous-variable gate teleportation and bosonic-code error correction

  Blayney W. Walshe, Ben Q. Baragiola, Rafael N. Alexander · 2020 · Physical Review A · 83 citations

• Asymmetric quantum error correction via code conversion

  Ashley M. Stephens, Zachary W. E. Evans, Simon J. Devitt · 2008 · Physical Review A · 45 citations

🆕 Influential since 2022

• Realizing repeated quantum error correction in a distance-three surface code

  Sebastian Krinner, Nathan Lacroix, Ants Remm · 2022 · Nature · 710 citations

• Realization of an Error-Correcting Surface Code with Superconducting Qubits

  Youwei Zhao, Yangsen Ye, He-Liang Huang · 2022 · Physical Review Letters · 337 citations

• Quantum Error Correction with Surface Code Analysis on Quantum Computing platform

  · 2025 · Applied Mathematics & Information Sciences · 139 citations

• Low-Overhead Fault-Tolerant Quantum Error Correction with the Surface-GKP Code

  Kyungjoo Noh, Christopher Chamberland, Fernando G.S.L. Brandão · 2022 · PRX Quantum · 79 citations

• Single-shot quantum error correction with the three-dimensional subsystem toric code

  Aleksander Kubica, Michael Vasmer · 2022 · Nature Communications · 46 citations

📚 Books worth reading

• The art of error correcting codingRobert H. Morelos-Zaragoza · 2002
• Introduction to the theory of error-correcting codesVera Pless · 1982
• Fundamentals of Error Correcting CodesW. Cary Huffman, Vera Pless · 2003
• 📕VLSI Architectures for Modern Error-Correcting CodesXinmiao Zhang · 2015
• The theory of error correcting codesFlorence Jessie MacWilliams, Neil J. A. Sloane · 1977
• Error Correcting CodesD. J. Baylis · 2017
• 📕Introduction to forward-error-correcting codingJon C. Freeman · 1996
• Error Correction CodingTodd K. Moon · 2005

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Error detection and correction In information theory and coding theory with applications in computer science and telecommunications, error detection and correction (EDAC) or error control…
• Low-density parity-check code Low-density parity-check (LDPC) codes, also known as Gallager codes, are a class of error-correction codes first proposed in 1960. Together with the closely…
• Concatenated error correction code In coding theory, concatenated codes form a class of error-correcting codes that are derived by combining an inner code and an outer code. They were conceived…
• Convolutional code In telecommunication, a convolutional code is a type of error-correcting code that generates parity symbols via the sliding application of a boolean polynomial…
• Coding theory Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography…
• Turbo code In information theory, turbo codes are a class of high-performance forward error correction (FEC) codes developed around 1990–91, but first published in…
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• Serial concatenated convolutional codes Serial concatenated convolutional codes (SCCC) are a class of forward error correction (FEC) codes highly suitable for turbo (iterative) decoding. Data…