{
  "annotation_id": "c303a87c-0d7d-4ae8-a4a4-700f3e7a3fc3",
  "date_created": "2026-03-02T18:01:55.394000Z",
  "date_modified": "2026-03-02T18:01:55.394000Z",
  "file_hash": "01d37666984fe3beaccd5e213a27937045afb5f44c522f030798b71add2f9a24",
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  "record": {
    "abstract": "We establish the minimum time it takes for an initial state of mean energy E\nand energy spread DE to move from its initial configuration by a predetermined\namount. Distances in Hilbert space are estimated by the fidelity between the\ninitial and final state. In this context, we also show that entanglement is\nnecessary to achieve the ultimate evolution speed when the energy resources are\ndistributed among all subsystems.",
    "arxiv_id": "quant-ph/0210197",
    "authors": [
      "Vittorio Giovannetti",
      "Seth Lloyd",
      "Lorenzo Maccone"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.052109",
    "journal_ref": "Phys. Rev. A 67, 052109 (2003)",
    "title": "Quantum limits to dynamical evolution",
    "url": "https://arxiv.org/abs/quant-ph/0210197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "80464ab8-e515-4d10-9365-c944ff24ff92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}