{
  "abstract": "Kinetic uncertainty relations impose a fundamental constraint on counting precision by requiring large dynamical activity to suppress fluctuations. For $N$ independent constituents, the activity is additive and scales as $O(N)$, so the corresponding precision bound improves only as $O(1/N)$. A central question is whether many-body quantum systems can instead achieve Heisenberg scaling, with relative variance suppressed as $O(1/N^{2})$. Such scaling could enable substantially enhanced precision in quantum devices, including quantum clocks. Superradiance appears to provide a natural route because its collective emission activity can scale as $O(N^2)$. We show, however, that superradiance alone fails to achieve Heisenberg scaling because this enhanced activity is transient. We then demonstrate that jump-conditioned quantum feedback stabilizes the superradiant high-activity regime and converts this collective enhancement into Heisenberg scaling. We establish this mechanism analytically using a many-body kinetic uncertainty relation and mean-field analysis, and demonstrate through quantum-trajectory simulations that the actual relative counting fluctuation scales as $O(1/N^{2})$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.12264",
  "author_total": 2,
  "authors": [
    {
      "name": "Hayato Yunoki"
    },
    {
      "name": "Yoshihiko Hasegawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4hrs1er5ycwwa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.12264",
  "fulltext_url": null,
  "id": "4hrs1er5ycwwa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.12264",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7168372646",
  "pdf_url": "https://arxiv.org/pdf/2607.12264",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4hrs1er5ycwwa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2607.12264",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.12264"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Heisenberg Scaling in Many-Body Kinetic Uncertainty Relation via Quantum Feedback",
  "title_text": "Heisenberg Scaling in Many-Body Kinetic Uncertainty Relation via Quantum Feedback",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/4hrs1er5ycwwa",
  "venue": "arXiv",
  "versions": []
}