{
  "abstract": "Nonstabilizerness is a critical resource for quantum advantage, but evaluating it, especially for mixed states, requires superexponentially many samples in system size, making the problem NP-hard. While symmetries are known to reduce this complexity, it is unclear whether they also restrict the amount of magic. In this work, we provide an explicit example of such a symmetry by proving that the Robustness of Magic (RoM) for N-qubit X-states is at most $\\sqrt{3}$. Leveraging this symmetry constraint, we introduce a computationally efficient method to lower-bound the RoM of arbitrary many-body states, demonstrating its utility on the ground states of a spin-1/2 Hamiltonian with system sizes well beyond the reach of exact evaluation. Furthermore, for Hamiltonians whose equilibrium states are X-states, we analytically derive the critical temperature at which magic emerges. Our work shows why certain symmetries constrain magic while others do not, provides a scalable lower-bounding method, and identifies a nontrivial regime where many-body nonstabilizerness is analytically solvable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38319",
  "author_total": 5,
  "authors": [
    {
      "name": "A. de Oliveira Junior"
    },
    {
      "name": "Jake Xuereb"
    },
    {
      "name": "Rafael A. Macêdo"
    },
    {
      "name": "Jonatan Bohr Brask"
    },
    {
      "name": "Rafael Chaves"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ra0s2d1zc4mk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38319",
  "fulltext_url": null,
  "id": "1ra0s2d1zc4mk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38319",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7215069094",
  "pdf_url": "https://arxiv.org/pdf/2609.38319",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ra0s2d1zc4mk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.38319",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38319"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "When Symmetry Suppresses Magic",
  "title_text": "When Symmetry Suppresses Magic",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/1ra0s2d1zc4mk",
  "venue": "arXiv",
  "versions": []
}