{
  "abstract": "We introduce a generalized classical long-range stochastic cellular automaton that exactly captures the entanglement dynamics and transitions of a measurement-only monitored quantum system. The corresponding quantum model consists of a one-dimensional qubit chain subject to competing single-site and long-range Bell measurements, with separations drawn from a power-law distribution. At every step of each trajectory, the state remains a tensor product of Bell pairs and unpaired qubits, with bipartite entanglement entropy fully encoded in a classical matching of the sites. This exact representation allows us to solve the dynamics analytically in several limits and to determine the steady-state scaling of the entanglement entropy. We find volume-law, fractal, and area-law regimes. Numerical results show that these regimes persist beyond the analytically solvable limit. Because Bell measurement outcomes change only the Bell-state labels and leave the matching unchanged, all subsystem entropies are outcome independent, avoiding the exponential cost of trajectory postselection often encountered in experimental studies of measurement-induced entanglement dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28743",
  "author_total": 3,
  "authors": [
    {
      "name": "Will Holdhusen"
    },
    {
      "name": "Bailey M. McAmis"
    },
    {
      "name": "Armin Rahmani"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aeytpxsxsew7c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28743",
  "fulltext_url": null,
  "id": "aeytpxsxsew7c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28743",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214382653",
  "pdf_url": "https://arxiv.org/pdf/2609.28743",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aeytpxsxsew7c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2609.28743",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28743"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Classical Cellular Automaton for Measurement-Only Entanglement Transitions",
  "title_text": "Classical Cellular Automaton for Measurement-Only Entanglement Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/aeytpxsxsew7c",
  "venue": "arXiv",
  "versions": []
}