{
  "id": "quant-ph/0102138",
  "version": "v5",
  "published": "2001-02-27T20:17:58.000Z",
  "updated": "2001-07-12T20:58:04.000Z",
  "title": "Proof of unconditional security of six-state quantum key distribution scheme",
  "authors": [
    "Hoi-Kwong Lo"
  ],
  "comment": "Major changes with the inclusion of important new results: we prove the unconditional security of the six-state QKD scheme up to a bit error rate of 12.7 percents using only one-way classical communications, thus demonstrating the advantage of six-state scheme over BB84. Our result makes use of i) the mutual information between the bit-flip and phase error patterns and ii) a modified version of the degenerate quantum codes studied by DiVincenzo, Shor and Smolin. Accepted for publication in the journal, QIC",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in the error correction/privacy amplification procedure between Alice and Bob. This shows a clear advantage of the six-state scheme over another standard scheme---BB84, which has been proven to be secure up to only about 11 percents, if only one-way classical communications are allowed. Our proof technique is a generalization of that of Shor-Preskill's proof of security of BB84. We show that a advantage of the six-state scheme lies in the Alice and Bob's ability to establish rigorously from their test sample the non-trivial mutual information between the bit-flip and phase error patterns. A modified version of the degenerate quantum codes studied by DiVincenzo, Shor and Smolin is employed in our proof.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2001-07-12T20:58:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unconditional security",
      "distribution scheme",
      "six-state quantum",
      "one-way classical communications",
      "error correction/privacy amplification procedure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001quant.ph..2138L"
    }
  }
}