{
  "annotation_id": "7188de1a-98e0-4bf4-9608-bc3caa740bb3",
  "date_created": "2026-03-02T18:02:09.615000Z",
  "date_modified": "2026-03-02T18:02:09.615000Z",
  "file_hash": "107640d2bf25422684c0853dd978c2c1fc450facd3548d8d565b93e526a045a2",
  "private": false,
  "record": {
    "abstract": "For quantum systems described by finite matrices, linear and affine maps of\nmatrices are shown to provide equivalent descriptions of evolution of density\nmatrices for a subsystem caused by unitary Hamiltonian evolution in a larger\nsystem; an affine map can be replaced by a linear map, and a linear map can be\nreplaced by an affine map. There may be significant advantage in using an\naffine map. The linear map is generally not completely positive, but the linear\npart of an equivalent affine map can be chosen to be completely positive and\nrelated in the simplest possible way to the unitary Hamiltonian evolution in\nthe larger system.",
    "arxiv_id": "quant-ph/0407203",
    "authors": [
      "Thomas F. Jordan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.034101",
    "journal_ref": "Phys. Rev. A 71, 034101 (2005)",
    "title": "Affine maps of density matrices",
    "url": "https://arxiv.org/abs/quant-ph/0407203"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7426b7b8-1d41-4d73-8b63-feb4d8646eb3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}