{
  "abstract": "The excite-filter-readout framework of Kharazi et al. computes zero-temperature response windows on a fault-tolerant quantum computer from a pure ground state. We extend it to Gibbs states, where the two objects decouple: filters act on absolute energies, a thermal response on transition frequencies. The extension rests on a Liouville-space/TFD identity, explicit in the block-encoding/QSP setting: the thermally weighted transition-window weight is a spectral projection of H_0 (x) I - I (x) H_0^T onto the Schmidt (thermofield-double) purification, instance of Rall's framework. Around it we assemble a routed-SELECT block encoding (one Hamiltonian query per filter query), a conjugate-pair readout, and a four-route (duplex, bin, Fourier-LCU, METTS) compatibility analysis. The cost is multiplicative and conditional: a per-window query bound M_\"AE\" * (2*sqrt(d/Z_\"lb\")*d_\"vt\" + 4*d_W), with a tight signal-adaptive count, the optimal sqrt(alpha beta) degree, and a window-edge term. The preparation factor sqrt(d/Z) grows exponentially with system size at fixed temperature in positive-entropy-density systems (2.08 -> 25.7, N = 8 to 14 at beta = 2), relieved only as beta -> 0. Zero temperature is recovered for beta G >= ln(2(d-1)||D||^2/epsilon). Identities are cross-checked between independent formula paths to 10^(-16)-10^(-12) and the readout assembly is validated at matrix level under a block-encoding promise.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06809",
  "author_total": 4,
  "authors": [
    {
      "name": "Yujin Tang"
    },
    {
      "name": "Yunlong Liu"
    },
    {
      "name": "Miao Xu"
    },
    {
      "name": "Qing-Xing Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8nj3t1snm83hs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06809",
  "fulltext_url": null,
  "id": "8nj3t1snm83hs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06809",
  "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/2611.06809",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8nj3t1snm83hs.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06809",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06809"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Finite-temperature transition-window weights on a fault-tolerant quantum computer: duplex filtering on a thermal purification",
  "title_text": "Finite-temperature transition-window weights on a fault-tolerant quantum computer: duplex filtering on a thermal purification",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:21Z",
  "url": "https://research.draconitic.com/paper/8nj3t1snm83hs",
  "venue": "arXiv",
  "versions": []
}