{
  "abstract": "We present a symmetry-enabled direct quantum protocol for computing many-body Green's functions, a central tool for studying strongly correlated quantum systems. Our protocol relies only on native time evolution and straightforward measurements available on current hardware platforms. By exploiting parity symmetry—satisfied by a broad class of Hamiltonians in condensed matter physics and quantum chemistry, including the Fermi–Hubbard and Heisenberg models—we introduce a tailored quench spectroscopy scheme that recovers both the real and imaginary parts of two-point time correlators, from which Green's functions can be reconstructed via efficient classical signal processing. We further develop a tailored symmetric quantum Gibbs sampler that prepares parity-resolved (symmetric and antisymmetric) thermal states, enabling finite-temperature extensions within the same framework. Finally, we show that the same symmetry-based measurement primitive extends naturally to out-of-time-ordered correlators (OTOCs). Our results provide a practical route to estimating symmetry-resolved dynamical correlators on near-term and early fault-tolerant quantum hardware.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Physics, Shanghai University, Shanghai, China",
    "Department of Computer Science, Université de Sherbrooke, QC, Canada",
    "Institut quantique, Université de Sherbrooke, QC, Canada",
    "Mila – Québec AI Institute, Montréal, QC, Canada"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Changhao Yi"
    },
    {
      "affs": [
        1,
        2,
        3
      ],
      "name": "Cunlu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f9d8fbkscpwny.bib",
  "cited_by": 0,
  "doi": "10.22331/q-2026-10-22-2245",
  "fulltext_url": null,
  "id": "f9d8fbkscpwny",
  "issns": [
    "2521-327X"
  ],
  "landing_url": "https://quantum-journal.org/papers/q-2026-10-22-2245/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7223242777",
  "pdf_url": "https://quantum-journal.org/papers/q-2026-10-22-2245/pdf/",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": "Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften",
  "ris": "https://research.draconitic.com/paper/f9d8fbkscpwny.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "10.22331/q-2026-10-22-2245",
      "source": "crossref",
      "url": "https://quantum-journal.org/papers/q-2026-10-22-2245/"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "issn:2521-327X",
      "subfield": "quantum"
    }
  ],
  "title": "A Symmetry-Enabled Direct Quantum Protocol for Many-Body Green's Functions",
  "title_text": "A Symmetry-Enabled Direct Quantum Protocol for Many-Body Green's Functions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:58Z",
  "url": "https://research.draconitic.com/paper/f9d8fbkscpwny",
  "venue": "Quantum",
  "versions": []
}