{
  "annotation_id": "51d45cef-46db-4234-83ba-1e2a613dfa49",
  "date_created": "2026-03-02T18:01:56.065000Z",
  "date_modified": "2026-03-02T18:01:56.065000Z",
  "file_hash": "032f4ca51fdbb071a290dbe829e3c65a862b4b8233555bd622fbf20d11f07964",
  "private": false,
  "record": {
    "abstract": "Gluings of completely positive maps (CPMs) are defined and investigated. As a\nbrief description of this concept consider a pair of `evolution machines\u0027, each\nwith the ability to evolve the internal state of a `particle\u0027 inserted into its\ninput. Each of these machines is characterized by a channel describing the\noperation the internal state has experienced when the particle is returned at\nthe output. Suppose a particle is put in a superposition between the input of\nthe first and the second machine. Here it is shown that the total evolution\ncaused by a pair of such devices is not uniquely determined by the channels of\nthe two machines. Such `global\u0027 channels describing the machine pair are\nexamples of gluings of the two single machine channels. Under the limiting\nassumption that all involved Hilbert spaces are finite-dimensional, an\nexpression which generates all subspace preserving gluings of a given pair of\nCPMs, is derived. The nature of the non-uniqueness of gluings and its relation\nto a proposed definition of subspace locality, is discussed.",
    "arxiv_id": "quant-ph/0302182",
    "authors": [
      "Johan \u00c5berg"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2004.04.013",
    "journal_ref": "Annals of Physics Vol. 313, p. 326 (2004)",
    "title": "Gluing of completely positive maps",
    "url": "https://arxiv.org/abs/quant-ph/0302182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8766eba7-a5a0-4151-a229-cb4357a57563",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}