{
  "abstract": "Interacting fermions owe both their non-trivial correlations and their computational power to their departure from Gaussianity. Yet, quantifying that departure geometrically faces two challenges: the Gaussian manifold is non-convex, and perturbative treatments are confined to weak interactions. Here, we introduce a geometric measure of fermionic non-Gaussianity, the fidelity distance of a target state to the manifold of fermionic Gaussian states. We construct an iteration formalism to numerically access it, applicable also at strong coupling. Further, we prove a sharpened operator Jensen inequality, of interest in its own right. We use it to derive a witness that involves only two- and four-point fermionic correlators. Numerical benchmarks on the one-dimensional Fermi--Hubbard model show that the quality of the witness improves with system size and, for strong coupling, is tighter than antiflatness. Our results open a scalable route to charting non-Gaussianity of strongly-interacting fermionic quantum simulators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17219",
  "author_total": 3,
  "authors": [
    {
      "name": "Leela Ganesh Chandra Lakkaraju"
    },
    {
      "name": "Naga Dileep Varikuti"
    },
    {
      "name": "Philipp Hauke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0tt8tfnvbvcmq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17219",
  "fulltext_url": null,
  "id": "0tt8tfnvbvcmq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17219",
  "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",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7221811034",
  "pdf_url": "https://arxiv.org/pdf/2610.17219",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0tt8tfnvbvcmq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.17219",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17219"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Fermionic non-Gaussianity via computable measures and experimentally accessible bounds",
  "title_text": "Fermionic non-Gaussianity via computable measures and experimentally accessible bounds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/0tt8tfnvbvcmq",
  "venue": "arXiv",
  "versions": []
}