{
  "id": "quant-ph/0107147",
  "version": "v1",
  "published": "2001-07-30T11:17:28.000Z",
  "updated": "2001-07-30T11:17:28.000Z",
  "title": "Concurrence in arbitrary dimensions",
  "authors": [
    "Piotr Badziag",
    "Piotr Deuar",
    "Michal Horodecki",
    "Pawel Horodecki",
    "Ryszard Horodecki"
  ],
  "comment": "RevTeX 7 pages",
  "journal": "J. Mod. Opt. 49, 1289 (2002)",
  "doi": "10.1080/09500340210121589",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional generalizations of concurrence and find evidence that they may provide useful tools for the analysis of quantum correlations in mixed bipartite states. We also introudce {\\it biconcurrence} that leads to a necessary and sufficient condition for separability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-30T11:17:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary dimensions",
      "concurrence",
      "quantum correlations",
      "sufficient condition",
      "complete characterisation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}