{
  "abstract": "Certifying entanglement in high-dimensional systems usually requires full state tomography, whose cost grows rapidly with the system dimension. Local randomized measurements offer a scalable alternative, but existing tests based on second-order correlations access only limited information about the state. Here, we derive a finite-size entanglement certificate that extends local randomized measurements to third order. The additional third-order information reveals entanglement that remains undetected at second order, while a dimension-independent concentration bound provides rigorous control of finite-sample errors. Our result opens a practical route to extracting stronger entanglement information from experimental platforms without the dimension-dependent overhead of state tomography.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08635",
  "author_total": 4,
  "authors": [
    {
      "name": "Giovanni Scala"
    },
    {
      "name": "Corrado Cosimo Mattiacci"
    },
    {
      "name": "Dorota Pietryka"
    },
    {
      "name": "Gniewomir Sarbicki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cgv38rp2wsmbj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08635",
  "fulltext_url": null,
  "id": "cgv38rp2wsmbj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08635",
  "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": "W7212009158",
  "pdf_url": "https://arxiv.org/pdf/2609.08635",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cgv38rp2wsmbj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.08635",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08635"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Finite-size Entanglement Certification via Third-Order Local Randomized Measurements",
  "title_text": "Finite-size Entanglement Certification via Third-Order Local Randomized Measurements",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/cgv38rp2wsmbj",
  "venue": "arXiv",
  "versions": []
}