{
  "abstract": "Non-Gaussian oscillator states are highly sensitive to weak perturbations, but reversible phase rotations and irreversible environmental changes should not be weighted equally. We introduce a finite-dimensional, direction-dependent local transport cost on a truncated Fock space and quotient it by Hamiltonian tangent directions. The resulting transverse quantity is a seminorm, not a global distance. A weighted operator frame specifies the representation cost of physical fluxes. Although the frame ({a_M,a_M^\\dagger}) already spans the full trace-zero sector, multiphoton and diagonal directions can represent selected Lindblad tangents much more efficiently. Numerical tests on compass-like states show that phase rotations are removed, dephasing becomes inexpensive only after diagonal directions are included, and two- and three-photon processes are naturally captured by multiphoton frames. Thermal weights satisfy an operator-modular covariance but do not define a complete KMS geometry. The construction is therefore an environment-aware local diagnostic with explicit cutoff, regularization, and normalization conventions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19026",
  "author_total": 2,
  "authors": [
    {
      "name": "Arnaud Coatanhay"
    },
    {
      "name": "Angelique Dremeau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4f22a2fsem4cb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19026",
  "fulltext_url": null,
  "id": "4f22a2fsem4cb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19026",
  "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 Applications"
    ]
  ],
  "openalex": "W7213501649",
  "pdf_url": "https://arxiv.org/pdf/2609.19026",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4f22a2fsem4cb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.19026",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19026"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Environment-aware transverse transport geometry for non-Gaussian oscillator states",
  "title_text": "Environment-aware transverse transport geometry for non-Gaussian oscillator states",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/4f22a2fsem4cb",
  "venue": "arXiv",
  "versions": []
}