{
  "id": "0812.4502",
  "version": "v3",
  "published": "2008-12-24T08:41:38.000Z",
  "updated": "2009-12-11T00:08:17.000Z",
  "title": "Weak Values with Decoherence",
  "authors": [
    "Yutaka Shikano",
    "Akio Hosoya"
  ],
  "comment": "17 pages, 3 figures",
  "journal": "J. Phys. A: Math. Theor. 43, 025304 (2010)",
  "doi": "10.1088/1751-8113/43/2/025304",
  "categories": [
    "quant-ph",
    "cond-mat.other"
  ],
  "abstract": "The weak value of an observable is experimentally accessible by weak measurements as theoretically analyzed by Aharonov et al. and recently experimentally demonstrated. We introduce a weak operator associated with the weak values and give a general framework of quantum operations to the W operator in parallel with the Kraus representation of the completely positive map for the density operator. The decoherence effect is also investigated in terms of the weak measurement by a shift of a probe wave function of continuous variable. As an application, we demonstrate how the geometric phase is affected by the bit flip noise.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-12-11T00:08:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak value",
      "weak measurement",
      "bit flip noise",
      "probe wave function",
      "general framework"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Jan",
      "volume": 43,
      "number": 2,
      "pages": "025304"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPhA...43b5304S"
    }
  }
}