{
  "abstract": "Diffusion sampling is related to imaginary-time quantum annealing through a forward/backward Schrödinger equation pair and its one-sided counterdiabatic connection. For a smooth, gapped Score-Hamiltonian path, the exact connection transports the target density at any evolution time. We apply quantum-annealing performance analysis to residuals from approximating this connection with a trained score. If the first $r$ terminal schedule derivatives vanish, the squared Hellinger error scales as $T^{-2r-2}$, with a prefactor determined by the terminal learning residual and inverse gaps. Direct two-dimensional imaginary-time evolution with one fixed neural score reproduces these powers and prefactors. Terminal schedule design thus suppresses the distributional effect of imperfect score learning without retraining the network.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05904",
  "author_total": 1,
  "authors": [
    {
      "name": "Masayuki Ohzeki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4c9w345sjt6ne.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05904",
  "fulltext_url": null,
  "id": "4c9w345sjt6ne",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05904",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2613|Markov Chains and Monte Carlo Methods"
    ]
  ],
  "openalex": "W7212007768",
  "pdf_url": "https://arxiv.org/pdf/2609.05904",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4c9w345sjt6ne.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2609.05904",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05904"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Boundary-Canceled Score-Hamiltonian Sampling",
  "title_text": "Boundary-Canceled Score-Hamiltonian Sampling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/4c9w345sjt6ne",
  "venue": "arXiv",
  "versions": []
}