{
  "abstract": "We investigate the probability that a conditioned quantum trajectory exceeds an ensemble-derived quantum speed limit (QSL) velocity under continuous measurement-based feedback. Using the finite-time average fidelity velocity, we derive an upper bound on the exceedance probability in terms of its mean and variance. We further obtain state-independent bounds from uniform constraints on the fidelity drift and diffusion, including an exponential concentration bound. For a feedback-controlled qubit, we derive explicit model-specific bounds and show that they are nontrivial in a short-time regime. We also identify a finite-time regime in which the exceedance probability vanishes exactly due to the restricted support of the conditioned dynamics. Monte Carlo simulations confirm the analytical bounds and illustrate their tightness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36356",
  "author_total": 1,
  "authors": [
    {
      "name": "Kohei Kobayashi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4n22y6372tt3g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36356",
  "fulltext_url": null,
  "id": "4n22y6372tt3g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36356",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7224092341",
  "pdf_url": "https://arxiv.org/pdf/2610.36356",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4n22y6372tt3g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36356",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36356"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Probability bounds on trajectory-level exceedances of quantum speed limits under continuous-measurement feedback",
  "title_text": "Probability bounds on trajectory-level exceedances of quantum speed limits under continuous-measurement feedback",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/4n22y6372tt3g",
  "venue": "arXiv",
  "versions": []
}