{
  "annotation_id": "2b002647-efe4-4835-940f-261a2f2795f7",
  "date_created": "2026-03-02T18:01:55.790000Z",
  "date_modified": "2026-03-02T18:01:55.790000Z",
  "file_hash": "995b58a25aaee6c6a526fa0114561810820137891428967c4c8fd48536f2e716",
  "private": false,
  "record": {
    "abstract": "Various notions from geometric control theory are used to characterize the\nbehavior of the Markovian master equation for N-level quantum mechanical\nsystems driven by unitary control and to describe the structure of the sets of\nreachable states. It is shown that the system can be accessible but neither\nsmall-time controllable nor controllable in finite time. In particular, if the\ngenerators of quantum dynamical semigroups are unital, then the reachable sets\nadmit easy characterizations as they monotonically grow in time. The two level\ncase is treated in detail.",
    "arxiv_id": "quant-ph/0211194",
    "authors": [
      "C. Altafini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1571221",
    "journal_ref": "J. Math. Phys., 44(6):2357-2372, 2003",
    "title": "Controllability properties for finite dimensional quantum Markovian   master equations",
    "url": "https://arxiv.org/abs/quant-ph/0211194"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0fb3ec29-b4be-4b8e-8ed1-648713909303",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}