{
  "abstract": "Quantum synchronisation errors are a class of errors that change the number of qubits in a quantum system. The classical error correction of synchronisation errors has been well-studied, including an insertion-deletion equivalence more than a half-century ago, but little progress has been made towards the quantum counterpart since the birth of quantum error correction. We address the longstanding problem of a quantum insertion-deletion equivalence on permutation-invariant codes, detailing the conditions under which such codes are t -insertion error-correctable. We extend these conditions to quantum insertion-deletion errors, formulating a more restrictive set of conditions under which permutation-invariant codes are ( t , s )-insdel error-correctable. For completeness, we extend our approach to qudit errors on qudit permutation-invariant codes. Our work resolves many of the outstanding questions regarding the quantum error correction of synchronisation errors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Lewis Bulled",
      "orcid": "0009-0002-4771-461X"
    },
    {
      "name": "Yingkai Ouyang",
      "orcid": "0000-0003-1115-0074"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/egncbjs9n7e6v.bib",
  "cited_by": 0,
  "doi": "10.1038/s41534-026-01371-3",
  "fulltext_url": null,
  "id": "egncbjs9n7e6v",
  "issns": [
    "2056-6387"
  ],
  "landing_url": "https://www.nature.com/articles/s41534-026-01371-3",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7128516296",
  "pdf_url": "https://www.nature.com/articles/s41534-026-01371-3_reference.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/egncbjs9n7e6v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:08Z",
      "native_id": "10.1038/s41534-026-01371-3",
      "source": "crossref",
      "url": "https://www.nature.com/articles/s41534-026-01371-3"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "issn:2056-6387",
      "subfield": "quantum"
    }
  ],
  "title": "The equivalence of quantum deletion and insertion errors on permutation-invariant codes",
  "title_text": "The equivalence of quantum deletion and insertion errors on permutation-invariant codes",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:08Z",
  "url": "https://research.draconitic.com/paper/egncbjs9n7e6v",
  "venue": "npj Quantum Information",
  "versions": []
}