{
  "id": "0911.5180",
  "version": "v1",
  "published": "2009-11-27T00:51:23.000Z",
  "updated": "2009-11-27T00:51:23.000Z",
  "title": "Monogamy and polygamy for multi-qubit entanglement using Rényi entropy",
  "authors": [
    "Jeong San Kim",
    "Barry C. Sanders"
  ],
  "comment": "19 pages, 2 figures",
  "journal": "Journal of Physics A: Mathematical and Theoretical 43(44): 442305 (2010)",
  "doi": "10.1088/1751-8113/43/44/445305",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Using R\\'enyi-$\\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\\alpha \\geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical evidence for $0.83-\\epsilon \\leq \\alpha \\leq 1.43+\\epsilon$ with $0<\\epsilon<0.01$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-27T00:51:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-qubit entanglement",
      "rényi entropy",
      "quantify bipartite entanglement",
      "multi-qubit systems",
      "polygamy inequality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Nov",
      "volume": 43,
      "number": 44,
      "pages": 445305
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPhA...43R5305S"
    }
  }
}