{
  "abstract": "Different measurements of the same environment can preserve the average quantum channel yet change the feedback strength needed to prepare a state ensemble. We establish this distinction for a multiqubit register under complete Pauli monitoring, targeting the uniform ensemble of real-amplitude pure states. With unit detection efficiency, public records, and bounded Hamiltonian feedback, fixed transverse noise requires a minimum peak strength proportional to $ε^{-1}$ at distributional error $ε$. Tangent noise instead admits a construction requiring only $O[\\sqrt{\\log(1/ε)}]$. At fixed preparation time, we determine the optimum over all allowed feedback policies and derive a geometric lower bound beyond radial symmetry. The separation identifies the measurement realization as part of the control-resource specification for monitored ensemble preparation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31221",
  "author_total": 3,
  "authors": [
    {
      "name": "Haitao Huang"
    },
    {
      "name": "Qinglin Zhao"
    },
    {
      "name": "Xiaoyu Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/61a7xzbtmfnh4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31221",
  "fulltext_url": null,
  "id": "61a7xzbtmfnh4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31221",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7214660347",
  "pdf_url": "https://arxiv.org/pdf/2609.31221",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/61a7xzbtmfnh4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.31221",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31221"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring",
  "title_text": "Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/61a7xzbtmfnh4",
  "venue": "arXiv",
  "versions": []
}