{
  "annotation_id": "2a9a1fd9-1d9e-4824-aad2-00ac56596583",
  "date_created": "2026-03-02T18:02:17.035000Z",
  "date_modified": "2026-03-02T18:02:17.035000Z",
  "file_hash": "5f27be0b97523dd2b43580b8958e37ad3f0818c36b397ddc662244fc4e1648d3",
  "private": false,
  "record": {
    "abstract": "Bell inequalities, considered within quantum mechanics, can be regarded as\nnon-optimal witness operators. We discuss the relationship between such Bell\nwitnesses and general entanglement witnesses in detail for the Bell inequality\nderived by Clauser, Horne, Shimony, and Holt (CHSH). We derive bounds on how\nmuch an optimal witness has to be shifted by adding the identity operator to\nmake it positive on all states admitting a local hidden variable model. In the\nopposite direction, we obtain tight bounds for the maximal proportion of the\nidentity operator that can be subtracted from such a CHSH witness, while\npreserving the witness properties. Finally, we investigate the structure of\nCHSH witnesses directly by relating their diagonalized form to optimal\nwitnesses of two different classes.",
    "arxiv_id": "quant-ph/0504079",
    "authors": [
      "P. Hyllus",
      "O. Guehne",
      "D. Bruss",
      "M. Lewenstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.012321",
    "journal_ref": "Phys. Rev. A 72, 012321 (2005)",
    "title": "Relations between Entanglement Witnesses and Bell Inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0504079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "734a8051-b4e7-4424-af65-0dc1ab8cce39",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}