{
  "annotation_id": "b974be02-45a6-4f27-96a8-7bf5bccd3f34",
  "date_created": "2026-03-02T18:02:34.125000Z",
  "date_modified": "2026-03-02T18:02:34.125000Z",
  "file_hash": "e7a842f608b92d806986b1be70fcb361d2a56646cb8da35fad12334b2dbb2d90",
  "private": false,
  "record": {
    "abstract": "We present a random-matrix analysis of the entangling power of a unitary\noperator as a function of the number of times it is iterated. We consider\nunitaries belonging to the circular ensembles of random matrices (CUE or COE)\napplied to random (real or complex) non-entangled states. We verify numerically\nthat the average entangling power is a monotonic decreasing function of time.\nThe same behavior is observed for the \"operator entanglement\" --an alternative\nmeasure of the entangling strength of a unitary. On the analytical side we\ncalculate the CUE operator entanglement and asymptotic values for the\nentangling power. We also provide a theoretical explanation of the time\ndependence in the CUE cases.",
    "arxiv_id": "quant-ph/0703057",
    "authors": [
      "Romulo F. Abreu",
      "Raul O. Vallejos"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.062335",
    "title": "Statistical bounds on the dynamical production of entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0703057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5fad9c2d-fbd4-43ab-a2b4-a2589827346b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}