{
  "abstract": "Entanglement in indistinguishable particle systems can be characterized by the impossibility of unambiguously attributing a complete set of physical properties to the individual constituent particles. In this work, we introduce a geometric quantifier of the incompatibility of such simultaneous property attribution for pure states of $N$ indistinguishable bosons. Using the Majorana stellar representation, any symmetric multi-qubit state can be expressed as the symmetrization of constituent single-particle states, allowing the associated single-particle properties to be directly linked with the corresponding Majorana stars. This establishes a direct connection between the geometry of the Majorana representation on the Bloch sphere and the entanglement criterion based on the attribution of single-particle properties in systems of identical two-level bosons. We then generalize this geometric approach to higher-dimensional bosons, extending the quantifier from qubits to qudits, while retaining a geometric interpretation of property-attribution incompatibility in terms of Fubini-Study angles.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17256",
  "author_total": 4,
  "authors": [
    {
      "name": "P. Céspedes"
    },
    {
      "name": "A. Valdés-Hernández"
    },
    {
      "name": "F. H. Holik"
    },
    {
      "name": "A. P. Majtey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2qhsc5e4ndw5q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17256",
  "fulltext_url": null,
  "id": "2qhsc5e4ndw5q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17256",
  "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": "W7213418340",
  "pdf_url": "https://arxiv.org/pdf/2609.17256",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2qhsc5e4ndw5q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.17256",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17256"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Geometric quantifier of the incompatibility of single-particle property attribution in indistinguishable boson systems",
  "title_text": "Geometric quantifier of the incompatibility of single-particle property attribution in indistinguishable boson systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/2qhsc5e4ndw5q",
  "venue": "arXiv",
  "versions": []
}