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Everything about Shor code

Code used in quantum error correction

In quantum computing, the Shor code or Shor nine qubit code is a foundational code in quantum error correction that protects quantum information against decoherence and operational errors. It was the first quantum error correcting code, introduced by Peter Shor in 1995. It encodes a single logical qubit into a system of nine physical qubits, allowing simultaneous correction of both bit-flip, phase-flip or a joint phase and bit flip errors on any single physical qubit. As the first quantum error-correcting code to demonstrate fault tolerant quantum computing in principle, the Shor code marked a critical step toward the development of reliable quantum computing systems. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Shor codeA 5-minute orientation
  2. Skim a recent paper: Coherent information for Calderbank-Shor-Steane codes under decoherenceInfluential work since 2022
  3. Pick up a classic book: HackingThe most-reprinted book on the subject
  4. Read the landmark paper: Enlargement of Calderbank-Shor-Steane quantum codesCited 221 times
  5. Go sideways: Steane codeA closely related topic
  6. Go sideways: Parity measurementA closely related topic

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🗂️ The subject at a glance

  1. Description
  2. Random error threshold
  3. Stabilizer formalism

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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