{
  "id": "1802.07594",
  "version": "v1",
  "published": "2018-02-21T14:51:32.000Z",
  "updated": "2018-02-21T14:51:32.000Z",
  "title": "Constructions of Unextendible Maximally Entangled Bases in \\(\\mathbb {C}^{d}\\otimes \\mathbb {C}^{d^{\\prime}}\\)",
  "authors": [
    "Gui-Jun Zhang",
    "Yuan-Hong Tao",
    "Yi-Fan Han",
    "Xin-Lei Yong",
    "Shao-Ming Fei"
  ],
  "comment": "8 pages",
  "journal": "Scientific Reports (2018)8:3193",
  "doi": "10.1038/s41598-018-21561-0",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study unextendible maximally entangled bases (UMEBs) in \\(\\mathbb {C}^{d}\\otimes \\mathbb {C}^{d^{\\prime}}\\) ($d<d'$). An operational method to construct UMEBs containing $d(d^{\\prime}-1)$ maximally entangled vectors is established, and two UMEBs in \\(\\mathbb {C}^{5}\\otimes \\mathbb {C}^{6}\\) and \\(\\mathbb {C}^{5}\\otimes \\mathbb {C}^{12}\\) are given as examples. Furthermore, a systematic way of constructing UMEBs containing $d(d^{\\prime}-r)$ maximally entangled vectors in \\(\\mathbb {C}^{d}\\otimes \\mathbb {C}^{d^{\\prime}}\\) is presented for $r=1,2,\\cdots, d-1$. Correspondingly, two UMEBs in \\(\\mathbb {C}^{3}\\otimes \\mathbb {C}^{10}\\) are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-21T14:51:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constructions",
      "maximally entangled vectors",
      "operational method",
      "systematic way",
      "study unextendible maximally entangled bases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Nature"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}