{
  "id": "0904.0295",
  "version": "v1",
  "published": "2009-04-02T02:44:59.000Z",
  "updated": "2009-04-02T02:44:59.000Z",
  "title": "On the geometric distance between quantum states with positive partial transposition and private states",
  "authors": [
    "Jeong San Kim",
    "Barry C. Sanders"
  ],
  "comment": "16 pages",
  "journal": "Letters in Mathematical Physics 92(1): pp. 67 - 79 (2010)",
  "doi": "10.1007/s11005-010-0376-6",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We prove an analytic positive lower bound for the geometric distance between entangled positive partial transpose (PPT) states of a broad class and any private state that delivers one secure key bit. Our proof holds for any Hilbert space of finite dimension. Although our result is proven for a specific class of PPT states, we show that our bound nonetheless holds for all known entangled PPT states with non-zero distillable key rates whether or not they are in our special class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-02T02:44:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive partial transposition",
      "geometric distance",
      "private state",
      "quantum states",
      "analytic positive lower bound"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2010,
      "month": "Apr",
      "volume": 92,
      "number": 1,
      "pages": 67
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010LMaPh..92...67K"
    }
  }
}