{
  "abstract": "We extend our previous study of squeezed two-component Schrödinger cat states to a phase-referenced single-mode family with an arbitrary number $N$ of coherent components and general relative phases. Within the established circular-state construction, we derive a closed complex overlap kernel for the ordered action of displacement, phase rotation, and squeezing, retaining exact finite-amplitude normalization. We distinguish finite-displacement orthogonality from local phase-estimation sensitivity quantified by quantum Fisher information (QFI). For equal-phase states, we compare $N=2,\\ldots,9$ at a common mean photon number and include coherent-state and squeezed-vacuum benchmarks. A bound on the higher photon-number sectors establishes the fixed-energy asymptote $F_{Q,N}=4\\bar n(N-\\bar n)+o(1)$. Its leading term agrees with the known QFI of a vacuum--$N$-photon superposition. The resulting decrease of the ideal local quantum Cramér--Rao bound does not establish unlimited attainable precision: prior phase information, sample size, phase-reference resources, optical loss, state preparation, and measurement choice remain relevant.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23398",
  "author_total": 2,
  "authors": [
    {
      "name": "Ranjit Singh"
    },
    {
      "name": "Alexander E. Teretenkov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8yqs13ym5rbtq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23398",
  "fulltext_url": null,
  "id": "8yqs13ym5rbtq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23398",
  "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",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7222919322",
  "pdf_url": "https://arxiv.org/pdf/2610.23398",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8yqs13ym5rbtq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23398",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23398"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum Sensitivity of $N$-Component Cat States",
  "title_text": "Quantum Sensitivity of N-Component Cat States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/8yqs13ym5rbtq",
  "venue": "arXiv",
  "versions": []
}