{
  "abstract": "We analytically characterize the maximal quantum violation of the extended Mermin-Ardehali-Belinskii-Klyshko (EMABK) family of inequalities by $n$-qubit generalized Greenberger-Horne-Zeilinger (GHZ) states. We develop a correlation-tensor approach in which the Bell value is expressed as the Frobenius inner product of the quantum correlation tensor and an effective coefficient tensor. A rank constraint on the latter, together with the von Neumann trace inequality, yields an upper bound governed by the two largest singular values of the reshaped correlation-tensor. For generalized GHZ states, we determine the complete singular spectrum and obtain a piecewise analytic upper bound. We then construct two complementary measurement strategies that saturate the bound for EMABK throughout the entire parameter range. The first is a purely MABK strategy in which all measurement directions lie in the equatorial plane of the Bloch sphere. The second is a hybrid strategy that recursively combines lower-order MABK anti-diagonal operators with the fully-$σ_z$ tensor product. The resulting piecewise analytic expression recovers the standard MABK Tsirelson bound $2^{(n-1)/2}$ in the maximally entangled limit and approaches the classical local-hidden-variable bound in the product-state limits. It further shows that every entangled generalized GHZ state exhibits a strict quantum-classical separation under the EMABK inequality, thereby eliminating the nonviolation region of the standard MABK inequality in the partially entangled regime.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02045",
  "author_total": 4,
  "authors": [
    {
      "name": "Kun-Peng Wu"
    },
    {
      "name": "Hui-Xian Meng"
    },
    {
      "name": "Jie Zhou"
    },
    {
      "name": "Jing-Ling Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8x7d4x7v2ys08.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02045",
  "fulltext_url": null,
  "id": "8x7d4x7v2ys08",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02045",
  "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 Mechanics and Applications"
    ]
  ],
  "openalex": "W7207599850",
  "pdf_url": "https://arxiv.org/pdf/2609.02045",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8x7d4x7v2ys08.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02045",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02045"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Analytic Maximal Violation of Extended MABK Inequalities for Generalized GHZ States",
  "title_text": "Analytic Maximal Violation of Extended MABK Inequalities for Generalized GHZ States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/8x7d4x7v2ys08",
  "venue": "arXiv",
  "versions": []
}