{
  "id": "1212.3378",
  "version": "v1",
  "published": "2012-12-14T01:00:46.000Z",
  "updated": "2012-12-14T01:00:46.000Z",
  "title": "An information-theoretic account of the Wigner-Araki-Yanase theorem",
  "authors": [
    "Iman Marvian",
    "Robert W. Spekkens"
  ],
  "comment": "5 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The Wigner-Araki-Yanase (WAY) theorem can be understood as a result in the resource theory of asymmetry asserting the impossibility of perfectly simulating, via symmetric processing, the measurement of an asymmetric observable unless one has access to a state that is perfectly asymmetric, that is, one whose orbit under the group action is a set of orthogonal states. The simulation problem can be characterized information-theoretically by considering how well both the target observable and the resource state can provide an encoding of an element of the symmetry group. Leveraging this information-theoretic perspective, we show that the WAY theorem is a consequence of the no-programming theorem for projective measurements. The connection allows us to clarify the conceptual content of the theorem and to deduce some interesting generalizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-14T01:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wigner-araki-yanase theorem",
      "information-theoretic account",
      "resource theory",
      "asymmetric",
      "group action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3378M"
    }
  }
}