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    "story_id": "mp-2026-11-08-001",
    "source_story_id": "tmp-lead-nonabelian-thresholds",
    "edition_id": "mp-2026-11-08-morning-0121",
    "edition_url": "https://themachinepress.com/edition/2026-11-08",
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    "headline": "A Fault Threshold Reaches Non-Abelian Memory",
    "slug": "a-fault-threshold-reaches-non-abelian-memory",
    "dek": "An explicit syndrome circuit and online decoder extend provable circuit-level protection to every two-dimensional non-chiral topological order.",
    "summary": "An explicit syndrome circuit and online decoder extend provable circuit-level protection to every two-dimensional non-chiral topological order.",
    "body_text": "Fault-tolerance proofs are strongest when they cover the complete circuit, including noisy syndrome extraction, rather than an idealized decoder alone. This work constructs syndrome-extraction circuits from the Turaev-Viro path integral and pairs them with a classical algorithm that decodes as measurements arrive. Under a local stochastic circuit-level noise model, the authors prove a threshold for quantum memory in any two-dimensional non-chiral topological order, including non-abelian phases, and outline how the construction can support topological logical gates. It is a mathematical scheme and threshold proof, not a fabricated memory or an experimental error rate, but it closes a generality gap between exotic topological phases and explicit fault-tolerant circuitry.",
    "why_it_matters": "An explicit syndrome circuit and online decoder extend provable circuit-level protection to every two-dimensional non-chiral topological order.",
    "limitations": [
      "It is a mathematical scheme and threshold proof, not a fabricated memory or an experimental error rate, but it closes a generality gap between exotic topological phases and explicit fault-tolerant circuitry."
    ],
    "importance": 10,
    "canonical_url": "https://themachinepress.com/story/mp-2026-11-08-001/a-fault-threshold-reaches-non-abelian-memory",
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    "first_published_at": "2026-11-08T09:00:00.000-05:00",
    "modified_at": "2026-11-08T09:00:00.000-05:00",
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        "text": "An explicit syndrome circuit and online decoder extend provable circuit-level protection to every two-dimensional non-chiral topological order.",
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        ],
        "qualification": "It is a mathematical scheme and threshold proof, not a fabricated memory or an experimental error rate, but it closes a generality gap between exotic topological phases and explicit fault-tolerant circuitry."
      }
    ],
    "source_ids": [
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    "tags": [
      "quantum memory",
      "fault tolerance",
      "topological order",
      "decoding"
    ],
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  "sources": [
    {
      "source_id": "source-2026-11-08-001",
      "title": "arXiv preprint 2611.08488, original v1",
      "publisher": "arXiv",
      "url": "https://arxiv.org/abs/2611.08488v1",
      "canonical_url": "https://arxiv.org/abs/2611.08488v1",
      "source_type": "primary_research",
      "is_primary_source": true,
      "published_at": "2026-11-05T13:59:44.000-05:00",
      "accessed_at": "2026-11-08T08:27:17.257-05:00",
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  "publisher": {
    "name": "The Machine Press",
    "url": "https://themachinepress.com",
    "description": "A daily newspaper for the age of artificial intelligence."
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  "cite_this_report": {
    "title": "A Fault Threshold Reaches Non-Abelian Memory",
    "publisher": "The Machine Press",
    "published_at": "2026-11-08T09:00:00.000-05:00",
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