{
  "abstract": "Krylov subspace methods provide an efficient tool for modeling any quantum initial value problem as a one dimensional chain. A time ordered path formulation, in which the dynamical generator successively splits probability between paths, yields a speed limit within such dynamical subspaces. For power law growing Lanczos coefficients $b_n \\sim n^δ$ we find super ballistic lightcones, with an exponentially spreading lightcone for maximal growth $δ= 1$. Causality in the Krylov chain constrains the Lanczos coefficients to grow at most linearly. We illustrate the validity of the above in the $SL(2, R)$ and Heisenberg Weyl algebras, and in a many body skew field Ising model. Moreover, we extend the above bound to the family of $Q$ complexities. Lastly, mapping to a spin chain gives a Lieb Robinson bound analogue and opens the problem to standard condensed matter methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03883",
  "author_total": 4,
  "authors": [
    {
      "name": "Pablo Martinez-Azcona"
    },
    {
      "name": "Maximilian Meyer-Moelleringhof"
    },
    {
      "name": "Adolfo del Campo"
    },
    {
      "name": "Apollonas S. Matsoukas-Roubeas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/44a4m02gv5teh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03883",
  "fulltext_url": null,
  "id": "44a4m02gv5teh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03883",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220698987",
  "pdf_url": "https://arxiv.org/pdf/2610.03883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/44a4m02gv5teh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.03883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03883"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "On Information Propagation in Krylov Subspaces",
  "title_text": "On Information Propagation in Krylov Subspaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/44a4m02gv5teh",
  "venue": "arXiv",
  "versions": []
}