{
  "abstract": "Efficiently characterizing quantum error correcting codes is a key challenge on the path to fault-tolerant quantum computation. Stabilizer codes, a central class of such codes, are defined by a set of stabilizer generators. Here, we present an algorithm that uses random single-qubit measurements to learn the stabilizer generators of any stabilizer code from $N$ copies of stabilizer states in its codespace, requiring no prior knowledge of the code's structure. This also enables verification that a device implements its intended code. We derive a lower bound on $N$ needed to recover the stabilizer generators with high probability, together with a bound on the algorithm's overall probability of success. When applied to quantum low-density parity-check (qLDPC) codes, a leading candidate for practical fault-tolerant architectures, our approach requires a number of states that scales polylogarithmically with $n$, the number of qubits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04997",
  "author_total": 3,
  "authors": [
    {
      "name": "Heather Leitch"
    },
    {
      "name": "Sri. S. Tirukkovalluri"
    },
    {
      "name": "Yingkai Ouyang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dx8dwmw1pwrfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04997",
  "fulltext_url": null,
  "id": "dx8dwmw1pwrfp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04997",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7211872368",
  "pdf_url": "https://arxiv.org/pdf/2609.04997",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dx8dwmw1pwrfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.04997",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04997"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Learning unknown stabilizer codes using product measurements",
  "title_text": "Learning unknown stabilizer codes using product measurements",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/dx8dwmw1pwrfp",
  "venue": "arXiv",
  "versions": []
}