{
  "annotation_id": "4698c246-2c08-4129-9aac-33eca1f45812",
  "date_created": "2026-03-02T18:01:48.286000Z",
  "date_modified": "2026-03-02T18:01:48.286000Z",
  "file_hash": "b49994b3bc2b78a7f2aa6f93f30c41fd5221ae3bfe972bd0cbb73be938a8e336",
  "private": false,
  "record": {
    "abstract": "We work in the real Hilbert space H_s of hermitian Hilbert-Schmid operators\nand show that the entanglement witness which shows the maximal violation of a\ngeneralized Bell inequality (GBI) is a tangent functional to the convex set S\nsubset H_s of separable states. This violation equals the euclidean distance in\nH_s of the entangled state to S and thus entanglement, GBI and tangent\nfunctional are only different aspects of the same geometric picture. This is\nexplicitly illustrated in the example of two spins, where also a comparison\nwith familiar Bell inequalities is presented.",
    "arxiv_id": "quant-ph/0111116",
    "authors": [
      "R. A. Bertlmann",
      "H. Narnhofer",
      "W. Thirring"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevA.66.032319",
    "journal_ref": "Phys.Rev. A66 (2002) 032319",
    "title": "A Geometric Picture of Entanglement and Bell Inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0111116"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cf739dd-e50c-414d-b397-3a16a8696795",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}