{
  "id": "1304.6275",
  "version": "v2",
  "published": "2013-04-23T13:03:09.000Z",
  "updated": "2013-05-03T09:41:58.000Z",
  "title": "Relationship among locally maximally entanglable states, W states and hypergraph states under local unitary transformations",
  "authors": [
    "Ri Qu",
    "Yi-ping Ma",
    "Bo Wang",
    "Yan-ru Bao"
  ],
  "comment": "11 pages, 1 figures",
  "journal": "Phys. Rev. A 87, 052331 (2013)",
  "doi": "10.1103/PhysRevA.87.052331",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Kruszynska and Kraus [Phys. Rev. A 79, 052304 (2009)] have recently introduced the so-called locally maximally entanglable (LME) states of n qubits which can be maximally entangled to local auxiliary qubits using controlled operations. We characterize the local entanglability of hypergraph states and W states using an approach in [Phys. Rev. A 79, 052304 (2009)]. We show that (i) all hypergraph states are LME; (ii) hypergraph states and LME states are not equivalent under local unitaries; (iii) a W state of n qubits is not LME; and (iv) no hypergraph state of n qubits can be converted into to the W state under local unitary transformations. Moreover, we also present an approach for encoding weighted hypergraphs into LME states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-03T09:41:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "03.67.Ac"
    ],
    "keywords": [
      "hypergraph state",
      "local unitary transformations",
      "locally maximally entanglable states",
      "relationship",
      "lme states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2013,
      "month": "May",
      "volume": 87,
      "number": 5,
      "pages": "052331"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvA..87e2331Q"
    }
  }
}