{
  "id": "2004.13269",
  "version": "v1",
  "published": "2020-04-28T03:44:04.000Z",
  "updated": "2020-04-28T03:44:04.000Z",
  "title": "Projection based lower bounds of concurrence for multipartite quantum systems",
  "authors": [
    "Hui Zhao",
    "MeiMing Zhang",
    "Shao-Ming Fei",
    "Naihuan Jing"
  ],
  "comment": "13pages, 2figures",
  "journal": "IJTP,2020",
  "doi": "10.1007/s10773-020-04436-x",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study the concurrence of arbitrary-dimensional multipartite quantum states. Analytical lower bounds of concurrence for tripartite quantum states are derived by projecting high-dimensional states to $2\\otimes 2\\otimes 2$ substates. The results are then generalized to arbitrary multipartite quantum systems. Furthermore, the scheme enables us obtain lower bounds of concurrence for arbitrary four-partite quantum states by projecting high-dimensional states to arbitrary given lower dimensional substates. By detailed examples we show that our results improve the existing lower bounds of concurrence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-28T03:44:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bounds",
      "concurrence",
      "projecting high-dimensional states",
      "projection",
      "arbitrary-dimensional multipartite quantum states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}