{
  "annotation_id": "3073068a-b77b-4312-bb22-eb6c1f5600ef",
  "date_created": "2026-03-02T18:02:30.799000Z",
  "date_modified": "2026-03-02T18:02:30.799000Z",
  "file_hash": "c69a20fcd625755849e52c55989d89e4a9df4ca78e8719f559aa975f618a9826",
  "private": false,
  "record": {
    "abstract": "Given an initial quantum state |psi_I\u003e and a final quantum state |psi_F\u003e in a\nHilbert space, there exist Hamiltonians H under which |psi_I\u003e evolves into\n|psi_F\u003e. Consider the following quantum brachistochrone problem: Subject to the\nconstraint that the difference between the largest and smallest eigenvalues of\nH is held fixed, which H achieves this transformation in the least time tau?\nFor Hermitian Hamiltonians tau has a nonzero lower bound. However, among\nnon-Hermitian PT-symmetric Hamiltonians satisfying the same energy constraint,\ntau can be made arbitrarily small without violating the time-energy uncertainty\nprinciple. This is because for such Hamiltonians the path from |psi_I\u003e to\n|psi_F\u003e can be made short. The mechanism described here is similar to that in\ngeneral relativity in which the distance between two space-time points can be\nmade small if they are connected by a wormhole. This result may have\napplications in quantum computing.",
    "arxiv_id": "quant-ph/0609032",
    "authors": [
      "Carl M. Bender",
      "Dorje C. Brody",
      "Hugh F. Jones",
      "Bernhard K. Meister"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevLett.98.040403",
    "journal_ref": "Phys.Rev.Lett.98:040403,2007",
    "title": "Faster than Hermitian Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0609032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3833cd7c-8ace-4fa3-8b24-c56322e14526",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}