Quantum Pin Codes

Christophe Vuillot, Nikolas P. Breuckmann

Research output: Contribution to journalArticleScientificpeer-review


We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a generalization of quantum color codes and Reed-Muller codes and share a lot of their structure and properties. Pin codes have gauge operators, an unfolding procedure and their stabilizers form so-called ℓ-orthogonal spaces meaning that the joint overlap between any ℓ stabilizer elements is always even. This last feature makes them interesting for devising magic-state distillation protocols, for instance by using puncturing techniques. We study examples of these codes and their properties.

Original languageEnglish
JournalIEEE Transactions on Information Theory
Publication statusAccepted/In press - 2022


  • Codes
  • Generators
  • Logic gates
  • Pins
  • Protocols
  • Qubit
  • Space exploration


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