{
  "abstract": "The apparent absence of a stabilizer-specific phase-space description for qubit systems is not fundamental, but arises from fixing a state-independent discrete Wigner map. Allowing the phase-space representation to adapt to the state through a simple optimization procedure, we prove that every qubit stabilizer state admits an exact delta-function discrete Wigner representation for any fixed phase-space partition. This optimization can be implemented directly at the level of measurement statistics by selecting maximal probabilities across mutually unbiased bases forming the partition. This construction naturally leads to a non-stabilizer witness defined by the optimized value of the Wigner function at the origin. Stabilizer states saturate the universal lower bound of this witness for pure states, whereas a value strictly larger than the bound certifies non-stabilizerness. Although the witness is not a finite-size resource monotone, it becomes sharply concentrated and effectively invariant under random Clifford transformations in the large-qubit limit, suggesting an asymptotically linear growth law for broad families of non-stabilizer states. Our results restore a meaningful geometric phase-space characterization of qubit stabilizer structure and provide an operational diagnostic of non-stabilizerness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10471",
  "author_total": 3,
  "authors": [
    {
      "name": "A. B. Klimov"
    },
    {
      "name": "C. Muñoz"
    },
    {
      "name": "I. Sainz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cezcv4hzak25f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10471",
  "fulltext_url": null,
  "id": "cezcv4hzak25f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10471",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7220918938",
  "pdf_url": "https://arxiv.org/pdf/2610.10471",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cezcv4hzak25f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.10471",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10471"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Optimized discrete Wigner representations and non-stabilizerness in qubit systems",
  "title_text": "Optimized discrete Wigner representations and non-stabilizerness in qubit systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/cezcv4hzak25f",
  "venue": "arXiv",
  "versions": []
}