{
  "abstract": "Fisher information plays a central role in statistics and quantum metrology, providing the basis for the celebrated Cramér-Rao bound. In this work, we introduce a new information measure based on higher-order Fisher information and show that it naturally leads to a generalized uncertainty relation for parameter estimation, which can be regarded as an extension of the Cramér-Rao bound. As an application, we analyze the case of quantum phase estimation with a single qubit and compare our theoretical bounds with the well-known established hierarchical bounds. Finally, we experimentally validate the proposed framework using a photonic platform.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.27633",
  "author_total": 7,
  "authors": [
    {
      "name": "Xin-Zhu Liu"
    },
    {
      "name": "Jun-Li Jiang"
    },
    {
      "name": "Yan-Han Yang"
    },
    {
      "name": "Li-Ming Zhao"
    },
    {
      "name": "Xue Yang"
    },
    {
      "name": "Shao-Ming Fei"
    },
    {
      "name": "Ming-Xing Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/by7ebpyt2cfx9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.27633",
  "fulltext_url": null,
  "id": "by7ebpyt2cfx9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.27633",
  "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",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7166547937",
  "pdf_url": "https://arxiv.org/pdf/2606.27633",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/by7ebpyt2cfx9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2606.27633",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.27633"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Enhancing Quantum Metrology with High-order Fisher Information and Experiments",
  "title_text": "Enhancing Quantum Metrology with High-order Fisher Information and Experiments",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/by7ebpyt2cfx9",
  "venue": "arXiv",
  "versions": []
}