{
  "abstract": "We develop an iterative Bayesian variational quantum eigensolver in which the unknown ground state, parametrised as a real unit vector, is inferred through a von Mises--Fisher distribution sequentially updated from Hadamard-test measurements on a single ancilla qubit. Building on a companion paper that treated a single success outcome via exact moment matching, we generalise the scheme to condition on $m$ success outcomes for the likelihood function per iteration. Since exact moment matching becomes impractical for $m>1$, we exploit the large-concentration regime, in which a first-order expansion of the log-likelihood yields a closed-form von Mises--Fisher posterior with $m$ entering only through a multiplicative weight. We prove that the two convergence properties of the single-outcome scheme---non-decreasing overlap and non-decreasing concentration---are preserved provided $m$ lies within an explicitly characterised range. Based on the theory, we propose a measurement-based algorithm and illustrate the convergence on randomly generated three- and four-qubit Hamiltonian matrices, on $\\mathrm{HeH}^+$, and on $\\mathrm{H}_2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11466",
  "author_total": 5,
  "authors": [
    {
      "name": "Trung Minh Huynh"
    },
    {
      "name": "Gwangil An"
    },
    {
      "name": "Minsu Kim"
    },
    {
      "name": "Yu-Seong Jeon"
    },
    {
      "name": "Jinhyoung Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9523j4ba77y2t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11466",
  "fulltext_url": null,
  "id": "9523j4ba77y2t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11466",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7221186848",
  "pdf_url": "https://arxiv.org/pdf/2610.11466",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9523j4ba77y2t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.11466",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11466"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "An iterative Bayesian variational quantum eigensolver with the von Mises-Fisher distribution",
  "title_text": "An iterative Bayesian variational quantum eigensolver with the von Mises-Fisher distribution",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/9523j4ba77y2t",
  "venue": "arXiv",
  "versions": []
}