{
  "id": "quant-ph/0006068",
  "version": "v3",
  "published": "2000-06-14T17:15:00.000Z",
  "updated": "2000-12-21T15:02:02.000Z",
  "title": "Geometry of entangled states",
  "authors": [
    "Marek Kus",
    "Karol Zyczkowski"
  ],
  "comment": "16 latex pages, 4 figures in epsf, minor corrections, references updated, to appear in Phys. Rev. A",
  "journal": "Phys. Rev A 63 032307-13 (2001)",
  "doi": "10.1103/PhysRevA.63.032307",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the general K x M problem and characterize the set of effectively different states (which cannot be related by local transformations). Thus we generalize earlier results obtained for the simplest 2 x 2 system, which lead to a stratification of the 6D set of N=4 pure states. We define the concept of absolutely separable states, for which all globally equivalent states are separable.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-12-21T15:02:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pure states",
      "6d set",
      "quantum entangled states",
      "explicit method",
      "generalize earlier results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}