{
  "abstract": "Quantifying dissipation is essential for controlling quantum noise and characterizing open-system dynamics. In practical experimental settings, residual noise may still persist despite efforts to suppress it, making it important to determine whether the dissipative strength remains within a prescribed tolerance threshold. We study this question for an unknown, time-independent Lindblad generator with bounded strength, where the jump operators are local but with unrestricted overlap, using only memoryless forward-evolution access. The task is to distinguish dissipative strength of at most $\\varepsilon_1$ from strength of at least $\\varepsilon_2$, for $0 \\leq \\varepsilon_1 < \\varepsilon_2$, measured in the canonical dissipator's normalized Frobenius norm. We give an algorithm that solves this task in total evolution time $O(\\varepsilon_2/(\\varepsilon_2-\\varepsilon_1)^2)$ for all nontrivial thresholds, with constant success probability, and provide a matching lower bound $Ω(\\varepsilon_2/(\\varepsilon_2-\\varepsilon_1)^2)$ that establishes optimality even for adaptive protocols. This extends dissipation testing to the tolerant setting and eliminates the bounded-degree requirement, making the framework applicable to a broader range of experimentally relevant settings.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38160",
  "author_total": 3,
  "authors": [
    {
      "name": "Jinge Bao"
    },
    {
      "name": "Yiyi Cai"
    },
    {
      "name": "Zhong-Xia Shang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9yrcc9hr0xdxw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38160",
  "fulltext_url": null,
  "id": "9yrcc9hr0xdxw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38160",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7214977750",
  "pdf_url": "https://arxiv.org/pdf/2609.38160",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9yrcc9hr0xdxw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.38160",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38160"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Optimal Tolerant Testing of Lindbladian Dissipation",
  "title_text": "Optimal Tolerant Testing of Lindbladian Dissipation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/9yrcc9hr0xdxw",
  "venue": "arXiv",
  "versions": []
}