{
  "abstract": "For every primitive GNS-symmetric quantum Markov generator on$M_d(\\mathbb C)$, $d\\ge2$, we construct reversible extensions on acountable direct sum with a common all-time diamond-norm semigroup limitand a common trace-norm $\\Gamma$-limit of relative entropies. Theirentropy-constrained logarithmic current actions nevertheless have acontinuum of distinct $\\Gamma$-limits. The additional cotangent form is$\\chi(E-F_0(B))\\|Q_0Ce_h\\|^2$, where$\\chi=\\limsup_n b_n/\\varphi_n^2$ is determined by the auxiliary rates.The joint action--Fisher functional has instead the original core limit.For canonically embedded faithful initial data, the correspondingenergy--dissipation functionals $\\Gamma$-converge, and their almostminimizers converge to the core semigroup. Every recovery family attaininga strict kinetic saving along a faithful $C^2$ curve below the entropy caphas integrated Fisher cost bounded below by a positive multiple of$\\log^2(1/\\delta)$. At fixed coupling, the current action need not belower semicontinuous and can strictly exceed the metric energy of itsinduced distance. A second construction has a faithful stationary limit,vanishing generator and all-time semigroup differences in diamond norm,and entropy $\\Gamma$-convergence, but collapsing distances between fixedfaithful states. A bound in terms of the diamond norm of the entireauxiliary generator gives a complementary obstruction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Nifa Anass"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3pdc33qaekgym.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.22699067",
  "fulltext_url": null,
  "id": "3pdc33qaekgym",
  "issns": [],
  "landing_url": "https://hal.science/hal-05746506v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-oa"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05746506/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3pdc33qaekgym.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:33Z",
      "native_id": "hal-05746506",
      "source": "hal",
      "url": "https://hal.science/hal-05746506v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-oa",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Operational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transport",
  "title_text": "Operational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transport",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:33Z",
  "url": "https://research.draconitic.com/paper/3pdc33qaekgym",
  "venue": "HAL",
  "versions": []
}