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Identifying Logical Operations from Syndrome Histories for qLDPC Codes — arXiv:2610.40052

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.40052
License (as archived): CC0-1.0
Archived: 2026-11-01T02:50:26.669Z
SHA-256 of the archived text: 71b4f61070cdc6bd23c5bf2724688ef3ede70e1e36fd76329902d738d0fd81fe
Stable URL of this page: https://metraipolis.com/documento/dc_bc182d5fa6db

How to cite

Identifying Logical Operations from Syndrome Histories for qLDPC Codes — arXiv:2610.40052 — arXiv (en), https://arxiv.org/abs/2610.40052 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bc182d5fa6db (Metraipolis archive dc_bc182d5fa6db, sha256 71b4f61070cdc6bd23c5bf2724688ef3ede70e1e36fd76329902d738d0fd81fe)

BibTeX

@misc{dcbc182d5fa6db,
  title = {Identifying Logical Operations from Syndrome Histories for qLDPC Codes — arXiv:2610.40052},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.40052},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bc182d5fa6db; sha256 71b4f61070cdc6bd23c5bf2724688ef3ede70e1e36fd76329902d738d0fd81fe},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.40052. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Syndrome histories are normally used to detect and correct errors in fault-tolerant quantum computation, but they can also reveal information about the logical operations executed during computation. We study logical-operation identification using syndrome histories alone or together with other classical measurement outcomes. We develop an exact inference method and a scalable approximation that account for unknown circuit faults and ideal measurement randomness. We evaluate automorphisms, logical Pauli measurements, T injections, and logical circuits combining these instructions on \([[18,4,2]]\) and \([[72,12,6]]\) bivariate bicycle (BB) codes under multiple noise models and error rates. A single logical instruction can be identified with over 94\% accuracy under circuit-level noise with error rates between \(10^ {-5} \) and \(10^{-3}\). We also achieve over 99\% accuracy for automorphism-based logical circuits and 78.32\% for logical circuits combining all three instructions. We further analyze identification ambiguities arising from insufficient or indistinguishable measurement information, fault timing, and approximation inference. Together, these results extend the role of syndromes beyond error decoding to identifying executed logical operations and circuits during fault-tolerant quantum computation. They also suggest that access to syndrome histories and related classical measurement outcomes may unintentionally reveal information about the executed computation.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.40052 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-01T02:19:43.508Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).