{
  "annotation_id": "1fe328e4-8710-4c72-9585-f4d13491c124",
  "date_created": "2026-03-02T18:02:10.164000Z",
  "date_modified": "2026-03-02T18:02:10.164000Z",
  "file_hash": "48dcadcdf33fb2d11e66b38351b1d9a4e9a2361f0a8cee4f7fde513bb718ed5c",
  "private": false,
  "record": {
    "abstract": "Linear maps of matrices describing evolution of density matrices for a\nquantum system initially entangled with another are identified and found to be\nnot always completely positive. They can even map a positive matrix to a matrix\nthat is not positive, unless we restrict the domain on which the map acts.\nNevertheless, their form is similar to that of completely positive maps. Only\nsome minus signs are inserted in the operator-sum representation. Each map is\nthe difference of two completely positive maps. The maps are first obtained as\nmaps of mean values and then as maps of basis matrices. These forms also prove\nto be useful. An example for two entangled qubits is worked out in detail.\nRelation to earlier work is discussed.",
    "arxiv_id": "quant-ph/0407083",
    "authors": [
      "Thomas F. Jordan",
      "Anil Shaji",
      "E. C. G. Sudarshan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.052110",
    "journal_ref": "Phys.Rev. A70 (2004) 052110",
    "title": "Dynamics of initially entangled open quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0407083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "af433095-d8d4-4b11-9900-8362ac535362",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}