{
  "annotation_id": "cd0fda3e-7751-423b-9fc0-c543fe2ad21b",
  "date_created": "2026-03-02T18:01:53.057000Z",
  "date_modified": "2026-03-02T18:01:53.057000Z",
  "file_hash": "52f75c535e5a796cf1a35c662074a0f8a96d9df78ba6b596b3a0c05aee6c9979",
  "private": false,
  "record": {
    "abstract": "In this paper, we derived Lorentz covariant quantum Liouville equation for\nthe density operator which describes the relativistic quantum information\nprocessing from Tomonaga-Schwinger equation and an exact formal solution for\nthe reduced-density-operator is obtained using the projector operator technique\nand the functional calculus. When all the members of the family of the\nhypersurfaces become flat hyperplanes, it is shown that our results agree with\nthose of non-relativistic case which is valid only in some specified reference\nframe. To show that our new formulation can be applied to practical problems,\nwe derived the polarization of the vacuum in quantum electrodynamics up to the\nsecond order. The formulation presented in this work is general and might be\napplied to related fields such as quantum electrodynamics and relativistic\nstatistical mechanics.",
    "arxiv_id": "quant-ph/0207053",
    "authors": [
      "Doyeol Ahn",
      "Hyuk-jae Lee",
      "Sung Woo Hwang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.032309",
    "journal_ref": "Physical Review A 67, 032309 (2003)",
    "title": "Lorentz covariant reduced-density-operator theory for relativistic   quantum information processing",
    "url": "https://arxiv.org/abs/quant-ph/0207053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "75311a85-247e-42e9-abf1-8e39ea263e30",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}