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Everything about Steane code

Code for quantum correction

The Steane code is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a CSS code (Calderbank-Shor-Steane), using the classical binary [7,4,3] Hamming code to correct for both qubit flip errors and phase flip errors. The Steane code encodes one logical qubit in 7 physical qubits and is able to correct arbitrary single qubit errors. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Steane codeA 5-minute orientation
  2. Skim a recent paper: Comparing Shor and Steane error correction using the Bacon-Shor codeInfluential work since 2022
  3. Pick up a classic book: Quantum computing for computer architectsThe most-reprinted book on the subject
  4. Read the landmark paper: Enlargement of Calderbank-Shor-Steane quantum codesCited 221 times
  5. Go sideways: Shor codeA closely related topic
  6. Go sideways: Five-qubit error correcting codeA closely related topic

đź“– Definitions

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🗂️ The subject at a glance

  1. Expression in the stabilizer formalism

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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

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