{
  "abstract": "Quantum many-body dynamics is difficult to simulate because the global wavefunction develops extensive complexity, whereas local observables may retain only an intrinsic, system-size-independent complexity. This distinction is especially relevant in thermalizing systems, where local subsystems lose microscopic information and relax towards equilibrium. We introduce a variational time-evolution principle that exploits this separation by replacing global-state fidelity with a cost function defined on local reduced density matrices. The resulting locally optimized matrix-product-state (LOMPS) algorithm retains coherent short-time dynamics while using the simplification generated by thermalization at later times, and admits closed-form equations of motion analogous to the time-dependent variational principle. The same principle yields a quantum-classical algorithm in which a quantum processor evaluates the local cost and a noise-robust classical procedure performs the optimization. Proof-of-principle implementations on Quantinuum H2 and IBM Heron processors recover the characteristic local dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20802",
  "author_total": 7,
  "authors": [
    {
      "name": "Carolin Wille"
    },
    {
      "name": "Maximilian Marvell"
    },
    {
      "name": "Lauren Stewart"
    },
    {
      "name": "Maximillian Murphy"
    },
    {
      "name": "Vinul Wimalaweera"
    },
    {
      "name": "Lesley Gover"
    },
    {
      "name": "Andrew G. Green"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5w3257w82tyv0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20802",
  "fulltext_url": null,
  "id": "5w3257w82tyv0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20802",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7213607275",
  "pdf_url": "https://arxiv.org/pdf/2609.20802",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5w3257w82tyv0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2609.20802",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20802"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Locally optimized variational evolution for quantum many-body systems",
  "title_text": "Locally optimized variational evolution for quantum many-body systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/5w3257w82tyv0",
  "venue": "arXiv",
  "versions": []
}