{
  "id": "0905.3801",
  "version": "v1",
  "published": "2009-05-23T12:06:46.000Z",
  "updated": "2009-05-23T12:06:46.000Z",
  "title": "A short impossibility proof of Quantum Bit Commitment",
  "authors": [
    "G. Chiribella",
    "G. M. D'Ariano",
    "P. Perinotti",
    "D. M. Schlingemann",
    "R. F. Werner"
  ],
  "comment": "15 pages, revtex4",
  "journal": "Phys. Lett. A 377, Pages 1076-1087 (2013)",
  "doi": "10.1016/j.physleta.2013.02.045",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Bit commitment protocols, whose security is based on the laws of quantum mechanics alone, are generally held to be impossible on the basis of a concealment-bindingness tradeoff. A strengthened and explicit impossibility proof has been given in: G. M. D'Ariano, D. Kretschmann, D. Schlingemann, and R. F. Werner, Phys. Rev. A 76, 032328 (2007), in the Heisenberg picture and in a C*-algebraic framework, considering all conceivable protocols in which both classical and quantum information are exchanged. In the present paper we provide a new impossibility proof in the Schrodinger picture, greatly simplifying the classification of protocols and strategies using the mathematical formulation in terms of quantum combs, with each single-party strategy represented by a conditional comb. We prove that assuming a stronger notion of concealment--worst-case over the classical information histories--allows Alice's cheat to pass also the worst-case Bob's test. The present approach allows us to restate the concealment-bindingness tradeoff in terms of the continuity of dilations of probabilistic quantum combs with respect to the comb-discriminability distance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-23T12:06:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short impossibility proof",
      "quantum bit commitment",
      "concealment-bindingness tradeoff",
      "classical information histories-allows alices cheat",
      "quantum combs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2013,
      "month": "Jun",
      "volume": 377,
      "number": 15,
      "pages": 1076
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhLA..377.1076C"
    }
  }
}