{
  "id": "quant-ph/0010104",
  "version": "v2",
  "published": "2000-10-30T11:09:19.000Z",
  "updated": "2000-10-31T17:00:15.000Z",
  "title": "Decomposition of pure states of a quantum register",
  "authors": [
    "Ioannis Raptis",
    "Roman R. Zapatrin"
  ],
  "comment": "RevTeX, 3 pages, no figures, summary added",
  "categories": [
    "quant-ph",
    "math.RA"
  ],
  "abstract": "Using the leading vector method, we show that any vector $h\\in(C^2)^{\\otimes l}$ can be decomposed as a sum of at most (and at least in the generic case) $2^l-l$ product vectors using local bitwise unitary transformations. The method is based on representing the vectors by chains of appropriate simplicial complex. This generalizes the Scmidt decomposition of pure states of a 2-bit register to registers of arbitrary length $l$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-10-31T17:00:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pure states",
      "quantum register",
      "appropriate simplicial complex",
      "local bitwise unitary transformations",
      "scmidt decomposition"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000quant.ph.10104R"
    }
  }
}