{
  "id": "1510.03620",
  "version": "v1",
  "published": "2015-10-13T11:01:05.000Z",
  "updated": "2015-10-13T11:01:05.000Z",
  "title": "Construction of multi-qubit optimal genuine entanglement witnesses",
  "authors": [
    "Kyung Hoon Han",
    "Seung-Hyeok Kye"
  ],
  "comment": "17 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We interpret multi-partite genuine entanglement witnesses as simultaneous positivity of various maps arising from them. We apply this result to multi-qubit {\\sf X}-shaped Hermitian matrices, and characterize the conditions for them to be genuine entanglement witnesses, in terms of entries. Furthermore, we find all optimal ones among them. They turn out to have the spanning properties, and so they detect non-zero volume set of multi-qubit genuine entanglement. We also characterize decomposability for {\\sf X}-shaped entanglement witnesses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T11:01:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81P15",
      "15A30",
      "46L05",
      "46L07"
    ],
    "keywords": [
      "multi-qubit optimal genuine entanglement witnesses",
      "interpret multi-partite genuine entanglement witnesses",
      "detect non-zero volume set",
      "construction",
      "multi-qubit genuine entanglement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}