{
  "annotation_id": "3aa09763-6d9f-41cd-b26f-84f1043f6082",
  "date_created": "2026-03-02T18:02:27.552000Z",
  "date_modified": "2026-03-02T18:02:27.552000Z",
  "file_hash": "448fde9d2b22b723839d950584d67e620c6663f65e749bca7dc8a1ee5182f6be",
  "private": false,
  "record": {
    "abstract": "Entanglement witnesses provide tools to detect entanglement in experimental\nsituations without the need of having full tomographic knowledge about the\nstate. If one estimates in an experiment an expectation value smaller than\nzero, one can directly infer that the state has been entangled, or specifically\nmulti-partite entangled, in the first place. In this article, we emphasize that\nall these tests - based on the very same data - give rise to quantitative\nestimates in terms of entanglement measures: \"If a test is strongly violated,\none can also infer that the state was quantitatively very much entangled\". We\nconsider various measures of entanglement, including the negativity, the\nentanglement of formation, and the robustness of entanglement, in the bipartite\nand multipartite setting. As examples, we discuss several experiments in the\ncontext of quantum state preparation that have recently been performed.",
    "arxiv_id": "quant-ph/0607167",
    "authors": [
      "Jens Eisert",
      "Fernando G. S. L. Brandao",
      "Koenraad M. R. Audenaert"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other"
    ],
    "doi": "10.1088/1367-2630/9/3/046",
    "journal_ref": "New J. Phys. 9, 46 (2007)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantitative entanglement witnesses",
    "url": "https://arxiv.org/abs/quant-ph/0607167"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f763064a-1437-4abb-a8b6-7070f51aac0a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}