{
  "id": "1105.4976",
  "version": "v1",
  "published": "2011-05-25T09:32:22.000Z",
  "updated": "2011-05-25T09:32:22.000Z",
  "title": "Sequential measurements of conjugate observables",
  "authors": [
    "Claudio Carmeli",
    "Teiko Heinosaari",
    "Alessandro Toigo"
  ],
  "comment": "25 pages",
  "journal": "J. Phys. A: Math. Theor. 44 (2011) 285304",
  "doi": "10.1088/1751-8113/44/28/285304",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a unified treatment of sequential measurements of two conjugate observables. Our approach is to derive a mathematical structure theorem for all the relevant covariant instruments. As a consequence of this result, we show that every Weyl-Heisenberg covariant observable can be implemented as a sequential measurement of two conjugate observables. This method is applicable both in finite and infinite dimensional Hilbert spaces, therefore covering sequential spin component measurements as well as position-momentum sequential measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-25T09:32:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjugate observables",
      "covering sequential spin component measurements",
      "infinite dimensional hilbert spaces",
      "position-momentum sequential measurements",
      "relevant covariant instruments"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Jul",
      "volume": 44,
      "number": 28,
      "pages": 285304
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44B5304C"
    }
  }
}