{
  "id": "quant-ph/0601131",
  "version": "v1",
  "published": "2006-01-19T14:58:50.000Z",
  "updated": "2006-01-19T14:58:50.000Z",
  "title": "Time-optimal Control of Spin Systems",
  "authors": [
    "Jan Swoboda"
  ],
  "comment": "80 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The paper discusses various aspects of time-optimal control of quantum spin systems, modelled as right-invariant systems on a compact Lie group G. The main results are the reduction of such a system to an equivalent system on a homogeneous space G/H, and the explicit determination of optimal trajectories on G/H in the case where G/H is a Riemannian symmetric space. These results are mainly obtained by using methods from Lie theory and geometric control.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-19T14:58:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-optimal control",
      "quantum spin systems",
      "riemannian symmetric space",
      "compact lie group",
      "paper discusses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 80,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006quant.ph..1131S"
    }
  }
}