{
  "id": "0704.0709",
  "version": "v3",
  "published": "2007-04-05T11:59:14.000Z",
  "updated": "2007-10-26T00:39:47.000Z",
  "title": "Braiding transformation, entanglement swapping and Berry phase in entanglement space",
  "authors": [
    "Jing-Ling Chen",
    "Kang Xue",
    "Mo-Lin Ge"
  ],
  "comment": "6 pages, 2 figures. Published version",
  "journal": "Phys. Rev. A 76, 042324 (2007)",
  "doi": "10.1103/PhysRevA.76.042324",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show that braiding transformation is a natural approach to describe quantum entanglement, by using the unitary braiding operators to realize entanglement swapping and generate the GHZ states as well as the linear cluster states. A Hamiltonian is constructed from the unitary $\\check{R}_{i,i+1}(\\theta,\\phi)$-matrix, where $\\phi=\\omega t$ is time-dependent while $\\theta$ is time-independent. This in turn allows us to investigate the Berry phase in the entanglement space.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-10-26T00:39:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "02.40.-k",
      "03.65.Vf"
    ],
    "keywords": [
      "berry phase",
      "entanglement space",
      "braiding transformation",
      "entanglement swapping",
      "linear cluster states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2007,
      "month": "Oct",
      "volume": 76,
      "number": 4,
      "pages": "042324"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhRvA..76d2324C"
    }
  }
}