{
  "annotation_id": "83f1828b-0ea6-44fb-8fd2-3e536fd68894",
  "date_created": "2026-03-02T18:02:02.660000Z",
  "date_modified": "2026-03-02T18:02:02.660000Z",
  "file_hash": "39b575011cce89549cce164daec86fd75ed09063b43d484223f76bb17b0af555",
  "private": false,
  "record": {
    "abstract": "In quantum mechanics, outcomes of measurements on a state have a\nprobabilistic interpretation while the evolution of the state is treated\ndeterministically. Here we show that one can also treat the evolution as being\nprobabilistic in nature and one can measure `which unitary\u0027 happened. Likewise,\none can give an information-theoretic interpretation to evolutions by defining\nthe entropy of a completely positive map. This entropy gives the rate at which\nthe informational content of the evolution can be compressed. One cannot\ncompress this information and still have the evolution act on an unknown state,\nbut we demonstrate a general scheme to do so probabilistically. This allows one\nto generalize super-dense coding to the sending of quantum information. One can\nalso define the ``interaction-entanglement\u0027\u0027 of a unitary, and concentrate this\nentanglement.",
    "arxiv_id": "quant-ph/0312149",
    "authors": [
      "J. Oppenheim",
      "B. Reznik"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.022312",
    "journal_ref": "Phys. Rev. A. 70 022312 (2004)",
    "title": "A probabilistic and information theoretic interpretation of quantum   evolutions",
    "url": "https://arxiv.org/abs/quant-ph/0312149"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0f412b5a-8345-4000-be8d-23b692326b44",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}