{
  "abstract": "We construct quantum locally testable codes (LTCs) with constant rate, distance, soundness and locality under a variant of a product expansion conjecture of Bafna and Vyas about Reed-Solomon codes. In particular, we use the high-dimensional expansion framework of Dinur, Lin and Vidick for constructing quantum LTCs, instantiated with the non-Abelian cubical complexes of Rungtanapirom, Stix and Vdovina. Our code is obtained by equipping the complex with carefully chosen Reed-Solomon local codes whose symmetries are compatible with those of the complex.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26735",
  "author_total": 3,
  "authors": [
    {
      "name": "Mitali Bafna"
    },
    {
      "name": "Anqi Li"
    },
    {
      "name": "Quynh T. Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ahpm3jkryc59.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26735",
  "fulltext_url": null,
  "id": "7ahpm3jkryc59",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26735",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CC"
    ],
    [
      "arxiv",
      "cs.IT"
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    [
      "arxiv",
      "math.IT"
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    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
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  "openalex": "W7214126091",
  "pdf_url": "https://arxiv.org/pdf/2609.26735",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ahpm3jkryc59.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.26735",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26735"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Good Quantum Locally Testable Codes from Product Expansion",
  "title_text": "Good Quantum Locally Testable Codes from Product Expansion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/7ahpm3jkryc59",
  "venue": "arXiv",
  "versions": []
}