{
  "abstract": "We show that criticality concentrates extensive sensing information into a local trajectory. In the rapid-readout limit of an all-to-all dissipative feedback network, a single binary trajectory has a Fisher-information rate linear in $N$ for a common weak field, as does the full record. Critical slowing does not remove this gain because the local weight of the slow mode decreases with $N$. An analytic bound guarantees that the local record retains more than half of the full information across the entire channel-parameter range. We also identify how parameter drives and observation dynamics determine local access to collective information beyond permutation symmetry. Furthermore, our sparse-readout theorem establishes a $k^{-1}$ decay of fractional information loss: only $Θ(\\varepsilon^{-1})$ trajectories are needed to retain a fraction $1-\\varepsilon$ of the full information rate. Any growing readout set, even of vanishing density, asymptotically recovers the full common-field Fisher-information rate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15364",
  "author_total": 4,
  "authors": [
    {
      "name": "Peng Wang"
    },
    {
      "name": "Yu-Xuan Zhang"
    },
    {
      "name": "Hai-Tao Ding"
    },
    {
      "name": "Leong-Chuan Kwek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ffch08wrw6pcz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15364",
  "fulltext_url": null,
  "id": "ffch08wrw6pcz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15364",
  "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",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7221751074",
  "pdf_url": "https://arxiv.org/pdf/2610.15364",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ffch08wrw6pcz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.15364",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15364"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Criticality Concentrates Extensive Sensing Information into a Local Readout",
  "title_text": "Criticality Concentrates Extensive Sensing Information into a Local Readout",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/ffch08wrw6pcz",
  "venue": "arXiv",
  "versions": []
}