{
  "abstract": "Classical simulation of quantum many-body dynamics is challenged by the rapid growth of operator complexity, particularly in higher dimensions where tensor-network methods become increasingly demanding. We develop state-adapted Pauli-weight propagation based on generalized $m$-body mean-field projections, which compress many-body observables into optimal low-body representations in a covariance geometry induced by the initial state. Combined with adaptive Krylov-like restricted Heisenberg dynamics, this provides an alternative to conventional Hilbert--Schmidt Pauli-weight truncation. We derive necessary and conditional sufficient bounds on low-body approximation accuracy using standard operator complexity measures and characterize possible dynamical failure mechanisms of the state-adapted method. Numerical benchmarks demonstrate substantial state-dependent accuracy gains, while identifying regimes of reduced accuracy or violations of Pauli spectral bounds. For a three-dimensional system of $80$ interacting spins, our method achieves strong body-order convergence, close agreement with independently converging tensor-network simulations, and substantially smaller sparse Pauli representations. These results establish state-adapted Pauli propagation as a promising approach to classical simulation of higher-dimensional coherent many-body dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22069",
  "author_total": 4,
  "authors": [
    {
      "name": "Federico Tomás B. Pérez"
    },
    {
      "name": "Gabriela Wójtowicz"
    },
    {
      "name": "Matthias Kost"
    },
    {
      "name": "Martin B. Plenio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fskgnqvgsz1t3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22069",
  "fulltext_url": null,
  "id": "fskgnqvgsz1t3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22069",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7222431915",
  "pdf_url": "https://arxiv.org/pdf/2610.22069",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fskgnqvgsz1t3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.22069",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22069"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Generalized $m$-body mean-field projections for classical simulation of $d$-dimensional Heisenberg-picture dynamics",
  "title_text": "Generalized m-body mean-field projections for classical simulation of d-dimensional Heisenberg-picture dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/fskgnqvgsz1t3",
  "venue": "arXiv",
  "versions": []
}