{
  "id": "1810.07905",
  "version": "v1",
  "published": "2018-10-18T05:48:02.000Z",
  "updated": "2018-10-18T05:48:02.000Z",
  "title": "Time-optimal Control of Independent Spin-1/2 Systems under Simultaneous Control",
  "authors": [
    "Yunlan Ji",
    "Ji Bian",
    "Min Jiang",
    "Domenico D'Alessandro",
    "Xinhua Peng"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We derive the explicit solution of the problem of time-optimal control by a common magnetic fields for two independent spin-$\\frac{1}{2}$ particles. Our approach is based on the Pontryagin Maximum Principle and a novel symmetry reduction technique. We experimentally implement the optimal control using zero-field nuclear magnetic resonance. This reveals an average gate error of $1\\%$ and a $70 \\%$ to $80$ $\\%$ decrease in the experiment duration as compared to existing methods. This is the first analytical solution and experimental demonstration of time-optimal control in such a system and it provides a route to achieve time optimal control in more general quantum systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-18T05:48:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-optimal control",
      "simultaneous control",
      "independent",
      "novel symmetry reduction technique",
      "achieve time optimal control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}