{
  "id": "quant-ph/0310001",
  "version": "v2",
  "published": "2003-10-01T12:56:57.000Z",
  "updated": "2004-03-18T22:48:53.000Z",
  "title": "Remote preparation of arbitrary ensembles and quantum bit commitment",
  "authors": [
    "Hans Halvorson"
  ],
  "comment": "21 pages, LaTeX. Version 2: Proofs expanded and made more self-contained; added an example of a bit commitment protocol with continuous ensembles",
  "journal": "J.Math.Phys. 45 (2004) 4920-4931",
  "doi": "10.1063/1.1812827",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "math.OA"
  ],
  "abstract": "The Hughston-Jozsa-Wootters theorem shows that any finite ensemble of quantum states can be prepared \"at a distance\", and it has been used to demonstrate the insecurity of all bit commitment protocols based on finite quantum systems without superselection rules. In this paper, we prove a generalized HJW theorem for arbitrary ensembles of states on a C*-algebra. We then use this result to demonstrate the insecurity of bit commitment protocols based on infinite quantum systems, and quantum systems with Abelian superselection rules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-03-18T22:48:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum bit commitment",
      "arbitrary ensembles",
      "remote preparation",
      "bit commitment protocols",
      "abelian superselection rules"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}