{
  "abstract": "The quadratic growth of the density matrix with Hilbert-space dimension D is the central obstacle to simulating large open quantum systems. We introduce a deterministic algorithm that eliminates it for Lindblad dynamics whose Hamiltonian consists of a time-dependent diagonal part plus terms that are tridiagonal after reordering the basis. The state is a low-rank ensemble of vectors, propagated by tridiagonal split-operator steps and ensemble rank truncation of short-time Kraus branches, so that memory and cost per step are linear in D at fixed rank. For a driven nitrogen-vacancy-cavity model, rank 16 reproduces full density-matrix observables to relative error below $10^{-5}$, the method is up to two orders of magnitude faster than QuTiP already at $D \\approx 500$, and its runtime scales nearly linearly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25368",
  "author_total": 4,
  "authors": [
    {
      "name": "Roman Ovsiannikov"
    },
    {
      "name": "Kurt Jacobs"
    },
    {
      "name": "Andrii G. Sotnikov"
    },
    {
      "name": "Denys I. Bondar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0cv68thrr0vdz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25368",
  "fulltext_url": null,
  "id": "0cv68thrr0vdz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25368",
  "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",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7214122428",
  "pdf_url": "https://arxiv.org/pdf/2609.25368",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0cv68thrr0vdz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25368",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25368"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size",
  "title_text": "Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/0cv68thrr0vdz",
  "venue": "arXiv",
  "versions": []
}