{
  "id": "quant-ph/0310071",
  "version": "v2",
  "published": "2003-10-11T17:22:07.000Z",
  "updated": "2004-08-11T11:42:19.000Z",
  "title": "Uncertainty principle for quantum instruments and computing",
  "authors": [
    "Masanao Ozawa"
  ],
  "comment": "13 pages, Revtex4",
  "journal": "International Journal of Quantum Information (IJQI) 1, 569--588 (2003)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Recently, universally valid uncertainty relations have been established to set a precision limit for any instruments given a disturbance constraint in a form more general than the one originally proposed by Heisenberg. One of them leads to a quantitative generalization of the Wigner-Araki-Yanase theorem on the precision limit of measurements under conservation laws. Applying this, a rigorous lower bound is obtained for the gate error probability of physical implementations of Hadamard gates on a standard qubit of a spin 1/2 system by interactions with control fields or ancilla systems obeying the angular momentum conservation law.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-08-11T11:42:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uncertainty principle",
      "quantum instruments",
      "angular momentum conservation law",
      "precision limit",
      "universally valid uncertainty relations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003quant.ph.10071O"
    }
  }
}