{
  "id": "quant-ph/0011017",
  "version": "v3",
  "published": "2000-11-03T14:25:12.000Z",
  "updated": "2000-11-09T22:25:06.000Z",
  "title": "Comment on `Decomposition of pure states of a quantum register'",
  "authors": [
    "Alexander Yu. Vlasov"
  ],
  "comment": "1 page, 2 columns REVTeX, v3 is small, but essential modification",
  "categories": [
    "quant-ph"
  ],
  "abstract": "I. Raptis and R. Zapatrin in the quant-ph/0010104 show possibility to express general state of $l$-qubits quantum register as sum at most $2^l-l$ product states. In the comment is suggested more simple construction with possibility of generalization for decomposition of tensor product of Hilbert spaces with arbitrary dimension $n$ (here simplicial complexes used in the article mentioned above would not be applied directly). In this case it is decomposition with $n^l-(n^2-n)l/2$ product states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-11-09T22:25:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pure states",
      "decomposition",
      "product states",
      "qubits quantum register",
      "express general state"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000quant.ph.11017V"
    }
  }
}