{
  "annotation_id": "2b1bb5fd-a627-42c3-9ede-1879e0a67fad",
  "date_created": "2026-03-02T18:02:24.203000Z",
  "date_modified": "2026-03-02T18:02:24.203000Z",
  "file_hash": "5398613a02e8af9ac3089f271c46d03a8e25e869852f94df9a61f039b6c4994d",
  "private": false,
  "record": {
    "abstract": "For a prescribed pair of quantum states |psi_I\u003e and |psi_F\u003e we establish an\nelementary derivation of the optimum Hamiltonian, under constraints on its\neigenvalues, that generates the unitary transformation |psi_I\u003e --\u003e |psi_F\u003e in\nthe shortest duration. The derivation is geometric in character and does not\nrely on variational calculus.",
    "arxiv_id": "quant-ph/0601109",
    "authors": [
      "Dorje C. Brody",
      "Daniel W. Hook"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/11/L02",
    "journal_ref": "Journal of Physics A39, L167-L170 (2006)",
    "title": "On optimum Hamiltonians for state transformations",
    "url": "https://arxiv.org/abs/quant-ph/0601109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e0e17987-20d6-4c8b-8ed2-05790adb3973",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}