{
  "abstract": "We establish general conditions for the rapid convergence of propagation algorithms for computing expectation values of local observables in quantum many-body systems, covering both spin and fermionic systems. Our results apply to evolutions that are sufficiently contractive, providing a general mechanism by which contractivity controls the growth generated by local interactions and enables efficient classical simulation. As a first application, we consider noisy time evolution generated by local Hamiltonians on arbitrary interaction graphs. We show that the dynamics can be efficiently simulated when the noise strength $λ$ is sufficiently large compared to the degree of the interaction graph. More generally, for systems with an interaction strength $u$, our bounds determine a time horizon $t_{\\text{max}}$ as a function of the interaction strength $u$, the noise strength $λ$, and the interaction structure below which the algorithm is efficient. In the noiseless limit, $λ=0$, our analysis extends the efficiently simulable time scale from $\\log(1/u)$ proved in Facelli, Fawzi, and Fawzi (2026) to $t_{\\text{max}} \\sim 1/u$ matching the recent improvement by Zhao, Marvian and Tong (2026). As a second application, we apply the same framework to the computation of local observables in Gibbs states of local Hamiltonians. We consider a pseudo-Lindbladian whose steady state is the Gibbs state and show that, at sufficiently high temperature, its propagation algorithm converges rapidly. In particular, for weakly-interacting systems with interaction strength $u$, our result applies up to inverse temperatures $β\\sim\\log(1/u)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06769",
  "author_total": 6,
  "authors": [
    {
      "name": "Giorgio Facelli"
    },
    {
      "name": "Hamza Fawzi"
    },
    {
      "name": "Omar Fawzi"
    },
    {
      "name": "Cambyse Rouzé"
    },
    {
      "name": "Sam Slezak"
    },
    {
      "name": "Daniel Stilck França"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4sr0azjxdt7bb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06769",
  "fulltext_url": null,
  "id": "4sr0azjxdt7bb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06769",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220660704",
  "pdf_url": "https://arxiv.org/pdf/2610.06769",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4sr0azjxdt7bb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06769",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06769"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Fast convergence of propagation algorithms for open quantum systems",
  "title_text": "Fast convergence of propagation algorithms for open quantum systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/4sr0azjxdt7bb",
  "venue": "arXiv",
  "versions": []
}