{
  "id": "1305.6403",
  "version": "v2",
  "published": "2013-05-28T08:24:11.000Z",
  "updated": "2013-12-30T13:32:31.000Z",
  "title": "Driving at the quantum speed limit: Optimal control of a two-level system",
  "authors": [
    "Gerhard C. Hegerfeldt"
  ],
  "comment": "4 pages, 1 figure",
  "journal": "Physical Review Letters 111, 260501 (2013)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A remarkably simple result is derived for the minimal time $T_{\\rm min}$ required to drive a general initial state to a final target state by a Landau-Zener type Hamiltonian or, equivalently, by time-dependent laser driving. The associated protocol is also derived. A surprise arises for some states when the interaction strength is assumed to be bounded by a constant $c$. Then, for large $c$, the optimal driving is of type bang-off-bang and for increasing $c$ one recovers the unconstrained result. However, for smaller $c$ the optimal driving can suddenly switch to bang-bang type. We discuss the notion of quantum speed limit time.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-30T13:32:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w",
      "02.30.Yy",
      "03.67.Ac",
      "32.80.Qk"
    ],
    "keywords": [
      "optimal control",
      "two-level system",
      "quantum speed limit time",
      "general initial state",
      "final target state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "doi": "10.1103/PhysRevLett.111.260501",
      "year": 2013,
      "month": "Dec",
      "volume": 111,
      "number": 26,
      "pages": 260501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvL.111z0501H"
    }
  }
}