{
  "id": "1204.4830",
  "version": "v1",
  "published": "2012-04-21T17:38:40.000Z",
  "updated": "2012-04-21T17:38:40.000Z",
  "title": "Geometry of entanglement witnesses parameterized by SO(3) group",
  "authors": [
    "Dariusz Chruściński",
    "Filip A. Wudarski"
  ],
  "comment": "10 pages",
  "journal": "Open Sys. Inf. Dyn. 19, 1250020 (2012)",
  "doi": "10.1142/S1230161212500205",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We characterize a set of positive maps in matrix algebra of 4x4 complex matrices. Equivalently, we provide a subset of entanglement witnesses parameterized by the rotation group SO(3). Interestingly, these maps/witnesses define two intersecting convex cones in the 3-dimensional parameter space. The existence of two cones is related to the topological structure of the underlying orthogonal group. We perform detailed analysis of the corresponding geometric structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-21T17:38:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement witnesses",
      "4x4 complex matrices",
      "perform detailed analysis",
      "underlying orthogonal group",
      "matrix algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.4830C"
    }
  }
}