{
  "id": "1012.2630",
  "version": "v2",
  "published": "2010-12-13T04:31:43.000Z",
  "updated": "2012-05-21T02:07:40.000Z",
  "title": "An algebraic classification of entangled states",
  "authors": [
    "Roman V. Buniy",
    "Thomas W. Kephart"
  ],
  "comment": "published version",
  "journal": "J. Phys. A: Math. Theor. 45, 185304 (2012)",
  "doi": "10.1088/1751-8113/45/18/185304",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide a classification of entangled states that uses new discrete entanglement invariants. The invariants are defined by algebraic properties of linear maps associated with the states. We prove a theorem on a correspondence between the invariants and sets of equivalent classes of entangled states. The new method works for an arbitrary finite number of finite-dimensional state subspaces. As an application of the method, we considered a large selection of cases of three subspaces of various dimensions. We also obtain an entanglement classification of four qubits, where we find 27 fundamental sets of classes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-21T02:07:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entangled states",
      "algebraic classification",
      "discrete entanglement invariants",
      "finite-dimensional state subspaces",
      "arbitrary finite number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "May",
      "volume": 45,
      "number": 18,
      "pages": 185304
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 881038,
      "adsabs": "2012JPhA...45r5304B"
    }
  }
}