{
  "abstract": "We determine the time required for local weak measurements to collapse to one occupied site in an initial superposition of $N$ alternatives in the model of PRA 111, 032217 (2025). For equal initial occupation probabilities and a fixed confidence threshold $1-δ$, we prove $T_N/\\ln N\\to1/2$ in $L^1$, with time measured in units of the characteristic measurement time $τ_m$ of each detector. We also connect the asymptotic stabilization theorem of that work to a finite measurement: the first site to reach $1-δ$ is the eventual outcome with conditional probability exactly $1-δ$. The result corrects the previously proposed double-logarithmic asymptotic scaling. The finite-range numerical fit does not determine a constant asymptotic correction or a precise finite-$N$ law.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04556",
  "author_total": 2,
  "authors": [
    {
      "name": "Truong-Son P. Van"
    },
    {
      "name": "David W. Snoke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6t35zcepefg2d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04556",
  "fulltext_url": null,
  "id": "6t35zcepefg2d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04556",
  "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",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7220689264",
  "pdf_url": "https://arxiv.org/pdf/2610.04556",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6t35zcepefg2d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04556",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04556"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The collapse time of weak measurement on $N$ entangled sites",
  "title_text": "The collapse time of weak measurement on N entangled sites",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/6t35zcepefg2d",
  "venue": "arXiv",
  "versions": []
}