{
  "abstract": "Quantum algorithms for molecular response functions have mostly been studied one route at a time, most prominently the indicator-binning algorithm of Kharazi et al. We compare six routes within one accounting framework and state the conversions between their resource calibers. On the resolvent route the Lorentz-broadened spectrum is exactly a resolvent expectation; at finite gamma two boundary terms, a reversal term and a permanent-dipole pseudo-line, enter a disjoint error budget. Because the kernel subnormalization is exactly 1, the published binning accounting carries a removable Theta(alpha+1+omega) factor (49.69x and 7.75x at the definitional caliber), a correction that applies to both routes. Estimating the square root of the kernel amplitude lowers the readout cost from beta^2/mu_tilde_2 to beta/sqrt(mu_tilde_2). On the time-domain route we prove a single-point amplitude-estimation theorem and convert the generalized QPE of Loaiza et al. to the same accounting. The lower bounds are Theta_tilde(1/gamma) for parameter location, Theta(1/(gamma epsilon)) for windowed values, Omega(n/gamma) inside a restricted correlation-sampling class, and Omega(1/(epsilon gamma^2)) on the Lorentzian object; in the single-circuit-resolution caliber, gamma^(-n) is a grid-coverage artifact. Six routes, their calibers, an n=2 assembly with a component-grade coherence, and a phase diagram over the tested ensembles form one accounting map.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06821",
  "author_total": 4,
  "authors": [
    {
      "name": "Yunlong Liu"
    },
    {
      "name": "Yujin Tang"
    },
    {
      "name": "Miao Xu"
    },
    {
      "name": "Qing-Xing Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ft6xqg403yrcj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06821",
  "fulltext_url": null,
  "id": "ft6xqg403yrcj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06821",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06821",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ft6xqg403yrcj.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06821",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06821"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum Algorithms for Molecular Response Functions: Resolvent Kernels, Time-Domain Sampling, Query Lower Bounds with Matched Single-Point Calibers, and a Six-Route Comparison",
  "title_text": "Quantum Algorithms for Molecular Response Functions: Resolvent Kernels, Time-Domain Sampling, Query Lower Bounds with Matched Single-Point Calibers, and a Six-Route Comparison",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:21Z",
  "url": "https://research.draconitic.com/paper/ft6xqg403yrcj",
  "venue": "arXiv",
  "versions": []
}