{
  "annotation_id": "4e8fb322-5bf8-4927-bfaf-3d95e245d34d",
  "date_created": "2026-03-02T18:02:19.687000Z",
  "date_modified": "2026-03-02T18:02:19.687000Z",
  "file_hash": "cdb80f0322be79366b0e570ead6171dae5da05a9365f4aee6189b33fdf8b64ad",
  "private": false,
  "record": {
    "abstract": "Finding control fields (pulse sequences) that can compensate for the\ndispersion in the parameters governing the evolution of a quantum system is an\nimportant problem in coherent spectroscopy and quantum information processing.\nThe use of composite pulses for compensating dispersion in system dynamics is\nwidely known and applied. In this paper, we make explicit the key aspects of\nthe dynamics that makes such a compensation possible. We highlight the role of\nLie algebras and non-commutativity in the design of a compensating pulse\nsequence. Finally we investigate three common dispersions in NMR spectroscopy,\nthe Larmor dispersion, rf-inhomogeneity and strength of couplings between the\nspins.",
    "arxiv_id": "quant-ph/0510012",
    "authors": [
      "Navin Khaneja",
      "Jr-Shin Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Noncommuting vector fields, polynomial approximations and control of   inhomogeneous quantum ensembles",
    "url": "https://arxiv.org/abs/quant-ph/0510012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "50f880e1-653e-4d5a-9153-c51fd71da49d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}