{
  "abstract": "The dimensionality of entanglement in high-dimensional quantum systems is quantified by the Schmidt number, whose large value signals potential advantages for quantum communication and quantum computation. A commonly used approach to practical Schmidt-number detection in finite-dimensional systems is based on the estimation of fidelities to pure states with large entanglement dimensionality or lower bounds to these fidelities. However, for mode-entangled continuous-variable systems, the corresponding measurements are typically difficult to realize. Here, we introduce and assess fidelity bounds for Schmidt-number detection based on practically more accessible measurements of the first and second statistical moments of arbitrary continuous-variable quantum states. We provide analytical formulas that allow evaluating these bounds and test them for families of Gaussian and non-Gaussian states, including two-mode squeezed thermal states and photon-added displaced two-mode squeezed vacuum states. We compare our bounds to other methods for the certification of high-dimensional entanglement based on the same measurements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03113",
  "author_total": 5,
  "authors": [
    {
      "name": "Ida Mishra"
    },
    {
      "name": "Simon Morelli"
    },
    {
      "name": "Klára Baksová"
    },
    {
      "name": "Phila Rembold"
    },
    {
      "name": "Nicolai Friis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ywgr6rm44n7d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03113",
  "fulltext_url": null,
  "id": "0ywgr6rm44n7d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03113",
  "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": "W7220384119",
  "pdf_url": "https://arxiv.org/pdf/2610.03113",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ywgr6rm44n7d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03113",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03113"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Certification of high-dimensional entanglement in continuous-variable systems",
  "title_text": "Certification of high-dimensional entanglement in continuous-variable systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/0ywgr6rm44n7d",
  "venue": "arXiv",
  "versions": []
}