{
  "abstract": "The minimum loss required to reproduce non-Hermitian dynamics depends on how many physical modes each reservoir can address coherently. Established positive-matrix criteria bound this cost. We construct a phase-controlled cubic-root Su-Schrieffer-Heeger chain in which three-mode reservoirs attain the unrestricted passivity threshold throughout its phase diagram and halve the minimum pair-supported loss at a tuned point. The bound constrains exact conditional trajectories, including time-dependent Markov controls, rather than preparation of one final state. A connected-chain protocol tests effective reservoir support through calibrated finite-time emission. Full system-auxiliary propagation then bounds conditional fidelity and target yield for every one-particle input. A coherent controller that accurately prepares the selected endpoint fails this propagator test. A singular-value bound excludes every unitary realization of the same conditional map. These results connect local reservoir access to a measurable loss cost for prescribed dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13496",
  "author_total": 1,
  "authors": [
    {
      "name": "Alena Mastiukova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bc1f8xfypp0z2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13496",
  "fulltext_url": null,
  "id": "bc1f8xfypp0z2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13496",
  "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",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7213351923",
  "pdf_url": "https://arxiv.org/pdf/2609.13496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bc1f8xfypp0z2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.13496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13496"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Reservoir Support Sets the Minimum Loss for Non-Hermitian Dynamics",
  "title_text": "Reservoir Support Sets the Minimum Loss for Non-Hermitian Dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/bc1f8xfypp0z2",
  "venue": "arXiv",
  "versions": []
}