{
  "annotation_id": "a9e49393-7e0e-4232-b01f-b799aadaaae4",
  "date_created": "2026-03-02T18:02:10.235000Z",
  "date_modified": "2026-03-02T18:02:10.235000Z",
  "file_hash": "7347b2937195b49e500470ef0b97a8170572c99da127abba20f75d9a95859e71",
  "private": false,
  "record": {
    "abstract": "The problem of ordering of two-qubit states imposed by relative entropy of\nentanglement (E) in comparison to concurrence (C) and negativity (N) is\nstudied. Analytical examples of states consistently and inconsistently ordered\nby the entanglement measures are given. In particular, the states for which any\nof the three measures imposes order opposite to that given by the other two\nmeasures are described. Moreover, examples are given of pairs of the states,\nfor which (i) N\u0027=N\u0027\u0027 and C\u0027=C\u0027\u0027 but E\u0027 is different from E\u0027\u0027, (ii) N\u0027=N\u0027\u0027 and\nE\u0027=E\u0027\u0027 but C\u0027 differs from C\u0027\u0027, (iii) E\u0027=E\u0027\u0027, N\u0027\u003cN\u0027\u0027 and C\u0027\u003eC\u0027\u0027, or (iv) states\nhaving the same E, C, and N but still violating the\nBell-Clauser-Horne-Shimony-Holt inequality to different degrees.",
    "arxiv_id": "quant-ph/0409153",
    "authors": [
      "Adam Miranowicz",
      "Andrzej Grudka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/6/12/009",
    "journal_ref": "J. Opt. B: Quantum Semiclass. Optics 6 (2004) 542-548",
    "title": "A comparative study of relative entropy of entanglement, concurrence and   negativity",
    "url": "https://arxiv.org/abs/quant-ph/0409153"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "997ce656-7ce0-4cb7-bb26-fa34fdd4539c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}