{
  "abstract": "In optical quantum metrology, the scaling of the quantum Fisher information (QFI) with the mean photon number is a standard benchmark for relating precision to probe resources. For phase estimation, Heisenberg scaling corresponds to a quadratic growth of the QFI with the mean photon number, which Gaussian probes can approach. Interestingly, certain non-Gaussian probes can exhibit arbitrarily large QFI even at fixed mean photon number. Here, we clarify the resource requirements underlying this behavior by introducing a constraint that separates physically admissible states from inadmissible ones: an envelope on the photon-number distribution that arises naturally from the physical limitations of state-generation methods. Building on this constraint and considering pure single-mode probes, we define a resource quantity, $N_\\mathrm{RMS}$, fixed by the preparation constraints, and derive a finite bound on the QFI whose Heisenberg scaling is attainable. We identify a genuine metrological advantage of non-Gaussian states over Gaussian probes subject to the same constraints. Finally, we illustrate these results with an optical preparation model based on a universal gate set.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06645",
  "author_total": 2,
  "authors": [
    {
      "name": "Víctor Izquierdo"
    },
    {
      "name": "Javier Lalueza-Puértolas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xw93f9hd7402.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06645",
  "fulltext_url": null,
  "id": "6xw93f9hd7402",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06645",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06645",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xw93f9hd7402.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06645",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06645"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Precision Limits and Non-Gaussian Advantage in Optical Phase Estimation under Preparation Constraints",
  "title_text": "Precision Limits and Non-Gaussian Advantage in Optical Phase Estimation under Preparation Constraints",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:20Z",
  "url": "https://research.draconitic.com/paper/6xw93f9hd7402",
  "venue": "arXiv",
  "versions": []
}