Quantum codes, CFTs, and defects

Matthew Buican, Anatoly Dymarsky, Rajath Radhakrishnan

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We give a general construction relating Narain rational conformal field theories (RCFTs) and associated 3d Chern-Simons (CS) theories to quantum stabilizer codes. Starting from an abelian CS theory with a fusion group consisting of n even-order factors, we map a boundary RCFT to an n-qubit quantum code. When the relevant ’t Hooft anomalies vanish, we can orbifold our RCFTs and describe this gauging at the level of the code. Along the way, we give CFT interpretations of the code subspace and the Hilbert space of qubits while mapping error operations to CFT defect fields.

Original languageEnglish
Article number17
JournalJournal of High Energy Physics
Issue number3
StatePublished - Mar 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).


  • Chern-Simons Theories
  • Conformal and W Symmetry
  • Discrete Symmetries
  • Global Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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