{
  "abstract": "For deterministic state verification by separable measurements, the Schmidt rank of an entangled resource must be at least that of the state being verified [N. Yu, R. Duan, and M. Ying, IEEE Trans. Inf. Theory 60, 2069 (2014)], and if the two are equal, the resource must be maximally entangled [S. Akibue, J. Miyazaki, and H. Osaka, Lett. Math. Phys. 116, 110 (2026)]. The latter was derived from a general theorem proved using algebraic geometry. In this paper, we give a simple, self-contained proof of both statements using only linear algebra. We then use these results to show that among pure entangled resources of local dimension at most $d$, a maximally entangled state of $\\mathbb{C}^d\\otimes\\mathbb{C}^d$ is necessary and sufficient for perfect local discrimination of a generic orthogonal basis of $\\mathbb{C}^d\\otimes\\mathbb{C}^d$, however weakly entangled. The same holds for local implementation of a generic orthogonal measurement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05317",
  "author_total": 1,
  "authors": [
    {
      "name": "Somshubhro Bandyopadhyay"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4mgd4tzspxejf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05317",
  "fulltext_url": null,
  "id": "4mgd4tzspxejf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05317",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05317",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4mgd4tzspxejf.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.05317",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05317"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Simple proof of conditions requiring maximal entanglement for local state verification and discrimination",
  "title_text": "Simple proof of conditions requiring maximal entanglement for local state verification and discrimination",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:35Z",
  "url": "https://research.draconitic.com/paper/4mgd4tzspxejf",
  "venue": "arXiv",
  "versions": []
}