{
  "abstract": "The stabilizer Rényi entropy is a quantitative measure of non-stabilizerness, or magic, and has typically been found to scale extensively with system size $N$ (i.e., $Θ(N)$) for a variety of many-body quantum states. In this note, we study the stabilizer Rényi entropy of the ground state of the spin-$\\frac{1}{2}$ Dyck-Fredkin chain and its $t$-deformation, a local frustration-free model with unusual spectral-gap scaling. Exploiting the combinatorial structure, we carry out numerically exact finite-size calculations, which indicate asymptotic behavior depending on $t$: $Θ(N)$ for $t<1$, $Θ(\\log N)$ at $t=1$, and $Θ(1)$ for $t>1$. The scaling at $t=1$ could be another manifestation of the unconventional criticality of the model, while the contrast with the behavior of the entanglement entropy suggests that non-stabilizerness might provide a new window into quantum many-body systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09545",
  "author_total": 1,
  "authors": [
    {
      "name": "Yasunori Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e4v5dngzq9bn6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09545",
  "fulltext_url": null,
  "id": "e4v5dngzq9bn6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09545",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212130208",
  "pdf_url": "https://arxiv.org/pdf/2609.09545",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e4v5dngzq9bn6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09545",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09545"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Sub-extensive non-stabilizerness in the Dyck-Fredkin spin chain",
  "title_text": "Sub-extensive non-stabilizerness in the Dyck-Fredkin spin chain",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/e4v5dngzq9bn6",
  "venue": "arXiv",
  "versions": []
}