{
  "abstract": "We study the fermionic non-Gaussianity in typical quantum states, focusing on Haar random states of qubits with or without a global $U(1)$ symmetry. Using the Weingarten calculus, we derive analytical predictions for the non-Gaussianity, defined as the relative entropy between the reduced density matrix and its Gaussianized counterpart. We identify two regimes controlled by the ratio between the subsystem and the system size, $\\ell/L$. For $\\ell/L < 1/2$, the non-Gaussianity vanishes in the absence of symmetries, because typical reduced density matrices are exponentially close to the maximally mixed state. In the presence of a global $U(1)$ symmetry, instead, it remains small but finite. By contrast, in the regime $\\ell/L > 1/2$, the non-Gaussianity becomes extensive. These results establish the typical scaling of fermionic non-Gaussianity in random states and analyze how this is modified by the presence of global symmetries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: EPL 156 (2026) 38001",
  "arxiv": "2605.18986",
  "author_total": 3,
  "authors": [
    {
      "name": "Filiberto Ares"
    },
    {
      "name": "Sara Murciano"
    },
    {
      "name": "Pasquale Calabrese"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f9p6p6venc27p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.18986",
  "fulltext_url": null,
  "id": "f9p6p6venc27p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.18986",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.18986",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f9p6p6venc27p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2605.18986",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.18986"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Non-Gaussianity of random quantum states",
  "title_text": "Non-Gaussianity of random quantum states",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/f9p6p6venc27p",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1209/0295-5075/ae9219",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}