{
  "abstract": "We introduce a framework to upper bound the entanglement content of a bipartite quantum state from its spectrum alone. Using linear maps and their inverses, we derive rigorous constraints on the maximal entanglement that can be activated under global unitary transformations. We use as entanglement quantifiers the negativity and the Schmidt number; however, our framework is general and applies to any other entanglement measure. Our approach yields compact analytical sufficient criteria for bounding the entanglement of full-rank states in arbitrary dimensions and reveals new spectral constraints on Schmidt number witnesses.",
  "abstract_shown": true,
  "affiliations": [
    "Física Teòrica: Informació i Fenòmens Quàntics, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain.",
    "Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. Łojasiewicza 11, 30-348 Kraków, Poland.",
    "Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.",
    "ICREA – Institució Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain."
  ],
  "article_type": "Paper",
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Jofre Abellanet-Vidal",
      "orcid": "0009-0007-3118-0883"
    },
    {
      "affs": [
        1
      ],
      "name": "Guillem Müller-Rigat",
      "orcid": "0000-0003-0589-7956"
    },
    {
      "affs": [
        0,
        2
      ],
      "name": "Albert Rico",
      "orcid": "0000-0001-8211-499X"
    },
    {
      "affs": [
        0,
        3
      ],
      "name": "Anna Sanpera",
      "orcid": "0000-0002-8970-6127"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9myvga8w95f07.bib",
  "cited_by": 0,
  "doi": "10.22331/q-2026-11-06-2260",
  "fulltext_url": null,
  "id": "9myvga8w95f07",
  "issns": [
    "2521-327X"
  ],
  "landing_url": "https://quantum-journal.org/papers/q-2026-11-06-2260/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "feed-journal",
      "physics/quantum"
    ]
  ],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": "Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften",
  "ris": "https://research.draconitic.com/paper/9myvga8w95f07.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:43Z",
      "native_id": "10.22331/q-2026-11-06-2260",
      "source": "feed-quantum",
      "url": "https://quantum-journal.org/papers/q-2026-11-06-2260/"
    },
    {
      "first_seen": "2026-11-06T12:20:49Z",
      "native_id": "10.22331/q-2026-11-06-2260",
      "source": "crossref",
      "url": "https://quantum-journal.org/papers/q-2026-11-06-2260/"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "feed-journal:physics/quantum",
      "subfield": "quantum"
    }
  ],
  "title": "Bounding the entanglement of a state from its spectrum",
  "title_text": "Bounding the entanglement of a state from its spectrum",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T00:21:03Z",
  "url": "https://research.draconitic.com/paper/9myvga8w95f07",
  "venue": "Quantum",
  "versions": []
}