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Everything about Lifted-product code

Quantum LDPC code construction

A lifted-product code is a quantum error-correcting code constructed by a generalization of the tensor product or Kronecker product to matrices over a commutative algebra. Lifted products were introduced by Pavel Panteleev and Gleb Kalachev and are used to construct quantum low-density parity-check (qLDPC) codes with large minimum distance. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Lifted-product codeA 5-minute orientation
  2. Pick up a classic book: The Conspirators HierarchyThe most-reprinted book on the subject
  3. Read the landmark paper: Linear Time Iterative Decoders for Hypergraph-Product and Lifted-Product CodesCited 1 times
  4. Go sideways: Low-density parity-check codeA closely related topic
  5. Go sideways: Pauli groupA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Construction
  2. Distance results
  3. Decoding

🏆 Landmark papers (most cited)

📚 Books worth reading

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

🔗 Related topics