{
  "abstract": "Amplitude encoding stores an N-degree-of-freedom structural mode using ceiling(log2 N) qubits. This article develops an evaluation framework for variational quantum eigensolvers in finite-element structural dynamics. A Cholesky transformation maps the generalized eigenproblem to a symmetric mass-orthonormal Hamiltonian, ensuring Euclidean quantum-state orthogonality equals structural mass orthogonality. For higher modes, the deflation penalty condition is sharpened to a necessary-and-sufficient threshold, with a Davis-Kahan bound quantifying effects of approximate projectors. Numerical studies separate mapping correctness, ansatz expressibility, preprocessing, Pauli growth, finite-shot uncertainty, and damage localization. For 128-DOF chains, consistent-mass whitening increases transformed-operator density from 0.023 to 0.308 and Pauli terms from 576 to 2950. Exact state-vector experiments show qubit count and circuit expressibility are distinct. At 10^5 shots per Pauli term, first-mode frequency RMS error is 2.45%. In an oracle-state study, 10% stiffness loss is localized in 84.5% of trials. Results sharpen the deflation condition, quantify resource bottlenecks, and claim no speedup.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31393",
  "author_total": 2,
  "authors": [
    {
      "name": "Bikalpa Gautam"
    },
    {
      "name": "Akil Raj Subedi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ejd5a9bntanfy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31393",
  "fulltext_url": null,
  "id": "ejd5a9bntanfy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31393",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7223265326",
  "pdf_url": "https://arxiv.org/pdf/2610.31393",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ejd5a9bntanfy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31393",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31393"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Qubits Are Not Enough: Deflation and Measurement Limits in Variational Quantum Modal Analysis",
  "title_text": "Qubits Are Not Enough: Deflation and Measurement Limits in Variational Quantum Modal Analysis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/ejd5a9bntanfy",
  "venue": "arXiv",
  "versions": []
}