{
  "annotation_id": "6f63c422-252e-4719-960f-d9cc2810578c",
  "date_created": "2026-03-02T18:02:16.810000Z",
  "date_modified": "2026-03-02T18:02:16.810000Z",
  "file_hash": "10723a1879802cf784484691be85ec902ca2f647108277f2acbbd50a10c1739d",
  "private": false,
  "record": {
    "abstract": "Manipulation of infinite dimensional quantum systems is important to\ncontrolling complex quantum dynamics with many practical physical and chemical\nbackgrounds. In this paper, a general investigation is casted to the\ncontrollability problem of quantum systems evolving on infinite dimensional\nmanifolds. Recognizing that such problems are related with infinite dimensional\ncontrollability algebras, we introduce an algebraic mathematical framework to\ndescribe quantum control systems possessing such controllability algebras. Then\nwe present the concept of smooth controllability on infinite dimensional\nmanifolds, and draw the main result on approximate strong smooth\ncontrollability. This is a nontrivial extension of the existing controllability\nresults based on the analysis over finite dimensional vector spaces to analysis\nover infinite dimensional manifolds. It also opens up many interesting problems\nfor future studies.",
    "arxiv_id": "quant-ph/0505063",
    "authors": [
      "Re-Bing Wu",
      "Tzyh-Jong Tarn",
      "Chun-Wen Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.012719",
    "title": "Smooth Controllability of Infinite Dimensional Quantum Mechanical   Systems",
    "url": "https://arxiv.org/abs/quant-ph/0505063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f645485b-9481-4674-ae8f-e9ca7c790aeb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}