{
  "id": "2108.02358",
  "version": "v1",
  "published": "2021-08-05T04:13:45.000Z",
  "updated": "2021-08-05T04:13:45.000Z",
  "title": "Uncertainty and complementarity relations based on generalized skew information",
  "authors": [
    "Huaijing Huang",
    "Zhaoqi Wu",
    "Shao-Ming Fei"
  ],
  "comment": "7 pages",
  "journal": "EPL, 132 (2020) 60007",
  "doi": "10.1209/0295-5075/132/60007",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Uncertainty relations and complementarity relations are core issues in quantum mechanics and quantum information theory. By use of the generalized Wigner-Yanase-Dyson (GWYD) skew information, we derive several uncertainty and complementarity relations with respect to mutually unbiased measurements (MUMs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Our results include some existing ones as particular cases. We also exemplify our results by providing a detailed example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-05T04:13:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complementarity relations",
      "generalized skew information",
      "uncertainty",
      "symmetric informationally complete positive operator",
      "general symmetric informationally complete"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}