{
  "abstract": "Color-dependent syndrome extraction schedules have been proposed to mitigate hook errors in the triangular color code. Recent work by Kishony and Fowler (arXiv:2603.28852) identifies distance-reducing hook errors by the type of anyon for which they provide a shortcut and chooses the CNOT ordering for stabilizers of each color to avoid these errors. We identify an additional class of distance-reducing hooks, which we call junction hook errors, that is not captured by this classification. The two data qubits of a junction hook error terminate anyon strings of two different colors at the point where the three colored strings of a logical operator meet, which we call the junction. As such, the hook error does not correspond to a single type of anyon, yet it still reduces the distance. For distances $d=7,9,11$, we verify that every non-corner plaquette admits a scheduled hook error that, together with $d-2$ single data qubit faults, produces an undetectable logical error using $d-1$ faults. Each of these is a junction hook error. Because of this, every stabilizer, including those in the bulk, still requires additional protection from hook errors (such as flag qubits) to restore the full circuit-level distance with this schedule. A minimum weight logical operator has at most one junction, however, so junction hook errors cannot accumulate on one minimum weight logical operator in the way that single-color malign hook errors can. This helps explain why the schedule still improves the circuit-level distance to $d-\\lfloor (d+3)/6\\rfloor$, rather than the $d/2$ distance associated with spatially uniform color code scheduling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33347",
  "author_total": 2,
  "authors": [
    {
      "name": "Salahedeen Issa"
    },
    {
      "name": "Margaret Martonosi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/brbf5j50kg67b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33347",
  "fulltext_url": null,
  "id": "brbf5j50kg67b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33347",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7223980573",
  "pdf_url": "https://arxiv.org/pdf/2610.33347",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/brbf5j50kg67b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33347",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33347"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Junction Hook Errors in the Color Code",
  "title_text": "Junction Hook Errors in the Color Code",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/brbf5j50kg67b",
  "venue": "arXiv",
  "versions": []
}