{
  "id": "quant-ph/0007121",
  "version": "v1",
  "published": "2000-07-31T17:43:15.000Z",
  "updated": "2000-07-31T17:43:15.000Z",
  "title": "Quantum no-deleting principle and some of its implications",
  "authors": [
    "Arun K. Pati",
    "Samuel L. Braunstein"
  ],
  "comment": "Latex 4 pages, no-figures (Based on this a talk was presented in Benasque Science Center held from July 2-21, 2000)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Unmeasureability of a quantum state has important consequences in practical implementation of quantum computers. Like copying, deleting of an unknown state from among several copies is prohibited. This is called no-deletion prinicple. Here, we present a no deleting principle for qudits. We obtain a bound on $N$-to-$M$ deleting and show that the quality of deletion drops exponentially with the number of copies to be deleted. In addition, we investigate conditional, state-dependent and approximate quantum deleting of unknown states. We prove that unitarity does not allow us to delete copies from an alphabet of two non-orthogonal states exactly. Further, we show that no-deleting principle is consistent with no-signalling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-31T17:43:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum no-deleting principle",
      "implications",
      "unknown state",
      "quantum state",
      "non-orthogonal states"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000quant.ph..7121P"
    }
  }
}