{
  "annotation_id": "187fa600-0581-4766-bd70-eff6e584a2e6",
  "date_created": "2026-03-02T18:01:45.845000Z",
  "date_modified": "2026-03-02T18:01:45.845000Z",
  "file_hash": "837f9844df5295dfc40665c9a251ec61373e5bc213364017c5bd0b2667fa859c",
  "private": false,
  "record": {
    "abstract": "We address the question of which quantum states can be inter-converted under\nthe action of a time-dependent Hamiltonian. In particular, we consider the\nproblem applied to mixed states, and investigate the difference between pure\nand mixed-state controllability introduced in previous work. We provide a\ncomplete characterization of the eigenvalue spectrum for which the state is\ncontrollable under the action of the symplectic group. We also address the\nproblem of which states can be prepared if the dynamical Lie group is not\nsufficiently large to allow the system to be controllable.",
    "arxiv_id": "quant-ph/0110171",
    "authors": [
      "S. G. Schirmer",
      "A. I. Solomon",
      "J. V. Leahy"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/40/313",
    "journal_ref": "J. Phys. A 35, 8551-8562 (2002)",
    "title": "Criteria for reachability of quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0110171"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27d9e47a-0acb-416a-b788-35c089cbcab9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}