{
  "abstract": "Consider the task of identifying an unknown classical codeword delivered to a register of quantum sensor qubits through a sequence of weak phase interactions that each encode one bit. Suppose that each received bit controls an identical $Z$-rotation of angle $θ$ applied to every sensor qubit; receivers may also use auxiliary qubits within a total qubit budget $Q$, with arbitrary control unitaries and entanglement among all qubits allowed during each reception step. When the total collected signal is weak ($Qθ\\rightarrow 0$), we establish that a sensor coupled to a persistent quantum memory can identify the original codeword more reliably than any receiver with the same $Q$ and $θ$ but only classical memory between received bits, even when bit flips occur during transmission. In particular, for a family of $[n,k]$ binary simplex codes with even $k$ and $n=2^k-1$, we achieve exact correction of up to $t\\leq(k-2)/4$ transmission errors by coupling the sensor register to a persistent quantum memory of the same size, using $Q = Θ((t+1)\\log n)$ and $θ=\\frac{2π}{k\\sqrt{n+1}}$; for $t=o(\\sqrt k)$, every comparable receiver with only classical memory instead has average success probability (over uniformly chosen codewords) tending to zero. Furthermore, under independent bit flips of any fixed probability $p<1/16$, our receiver with persistent quantum memory achieves decoding error tending to zero as $n\\to\\infty$ using $Q=O(\\log n\\log\\log n)$ total qubits and the same $θ$. In contrast, every otherwise equivalent receiver with only classical memory has vanishing average success probability under the same stochastic error model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03659",
  "author_total": 4,
  "authors": [
    {
      "name": "John Blue"
    },
    {
      "name": "Zachary E. Chin"
    },
    {
      "name": "Vlad S. Oros"
    },
    {
      "name": "Isaac L. Chuang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f6fq8hwxr08f1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03659",
  "fulltext_url": null,
  "id": "f6fq8hwxr08f1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03659",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.03659",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f6fq8hwxr08f1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03659",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03659"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum Codeword Sensing",
  "title_text": "Quantum Codeword Sensing",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/f6fq8hwxr08f1",
  "venue": "arXiv",
  "versions": []
}