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Logical-Class Diagnostic Layer for Stabilizer Codes and Decoders via Supercharge Structures — arXiv:2611.01360

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.01360
License (as archived): CC0-1.0
Archived: 2026-11-03T19:01:03.820Z
SHA-256 of the archived text: 91873e9b76ba4bce3733f7a7a883be329cf99662699f90b271e8ba4e8b0d4034
Stable URL of this page: https://metraipolis.com/documento/dc_38ded1ab24bb

How to cite

Logical-Class Diagnostic Layer for Stabilizer Codes and Decoders via Supercharge Structures — arXiv:2611.01360 — arXiv (en), https://arxiv.org/abs/2611.01360 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_38ded1ab24bb (Metraipolis archive dc_38ded1ab24bb, sha256 91873e9b76ba4bce3733f7a7a883be329cf99662699f90b271e8ba4e8b0d4034)

BibTeX

@misc{dc38ded1ab24bb,
  title = {Logical-Class Diagnostic Layer for Stabilizer Codes and Decoders via Supercharge Structures — arXiv:2611.01360},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.01360},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_38ded1ab24bb; sha256 91873e9b76ba4bce3733f7a7a883be329cf99662699f90b271e8ba4e8b0d4034},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.01360. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We develop a decoder-agnostic logical-class diagnostic layer for abelian Pauli stabilizer codes, motivated by fault-tolerant quantum computing. An ancilla fermionic register defines a nilpotent supercharge whose clean degree-zero harmonic sector is the code space. Projected-return blocks derived from graded commutators organize the recovery test of whether a decoder-selected correction preserves every encoded input for every error in a declared same-syndrome family; the passing syndromes form the certified faithful window. Demoting the supercharge to an exact binary diagnostic formulation classifies residuals modulo stabilizers, separating a check violation, a harmless stabilizer residual, and a syndrome-silent nontrivial logical action, with a two-sector form for CSS codes. Because the unknown fault cancels, the relative logical class of two record-compatible candidates is computable online. We verify the diagnostic formalisms on the Steane code and specify a static--circuit bridge audit protocol for the Gross bivariate-bicycle quantum low-density parity-check (qLDPC) code. The method supplements existing decoders without additional physical qubits for software use.

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/2611.01360 — 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 2026-11-03T18:19:52.792Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).