{
  "id": "1701.07400",
  "version": "v1",
  "published": "2017-01-25T17:44:28.000Z",
  "updated": "2017-01-25T17:44:28.000Z",
  "title": "Two Roads to Classicality",
  "authors": [
    "Bob Coecke",
    "John Selby",
    "Sean Tull"
  ],
  "comment": "12 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Mixing and decoherence are both manifestations of classicality within quantum theory, each of which admit a very general category-theoretic construction. We show under which conditions these two `roads to classicality' coincide. This is indeed the case for (finite-dimensional) quantum theory, where each construction yields the category of C*-algebras and completely positive maps. We present counterexamples where the property fails which includes relational and modal theories. Finally, we provide a new interpretation for our category-theoretic generalisation of decoherence in terms of `leaking information'.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-25T17:44:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classicality",
      "quantum theory",
      "general category-theoretic construction",
      "construction yields",
      "decoherence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}