This paper explores the extension of classical error correction techniques to quantum codes, elucidating the opportunities and challenges therein. By using a Repetition code, the author shows how the formalism of encoding, error propagation, error recovery via a MWPM decoder, and decoding work in the regime of quantum circuits. Some pitfalls are mentioned, and the work concludes with potential future research avenues for partial completion of a masters degree in computer science at AFIT.

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Quantum Error Correction in Repetition Codes

  • James A. Williams,
  • Douglas D. Hodson,
  • Laurence D. Merkle

摘要

This paper explores the extension of classical error correction techniques to quantum codes, elucidating the opportunities and challenges therein. By using a Repetition code, the author shows how the formalism of encoding, error propagation, error recovery via a MWPM decoder, and decoding work in the regime of quantum circuits. Some pitfalls are mentioned, and the work concludes with potential future research avenues for partial completion of a masters degree in computer science at AFIT.