{
  "annotation_id": "dbbe9184-73a3-4d41-ac76-0ceb50eef013",
  "date_created": "2026-03-02T18:01:46.126000Z",
  "date_modified": "2026-03-02T18:01:46.126000Z",
  "file_hash": "97367ad65183e56d92f2449f62de6172064758436549771a67513c74ec038f2d",
  "private": false,
  "record": {
    "abstract": "In this paper we investigate two different entanglement measures in the case\nof mixed states of two qubits. We prove that the negativity of a state can\nnever exceed its concurrence and is always larger then\n$\\sqrt{(1-C)^2+C^2}-(1-C)$ where $C$ is the concurrence of the state.\nFurthermore we derive an explicit expression for the states for which the upper\nor lower bound is satisfied. Finally we show that similar results hold if the\nrelative entropy of entanglement and the entanglement of formation are\ncompared.",
    "arxiv_id": "quant-ph/0108021",
    "authors": [
      "Frank Verstraete",
      "Koenraad Audenaert",
      "Jeroen Dehaene",
      "Bart De Moor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/47/329",
    "journal_ref": "J. Phys. A: 34, 10327 (2001)",
    "title": "A comparison of the entanglement measures negativity and concurrence",
    "url": "https://arxiv.org/abs/quant-ph/0108021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ace69cb5-edc9-4988-9ea1-da82fce592af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}