{
  "annotation_id": "1be97e86-7e31-427d-a6a1-2eb14f318f9e",
  "date_created": "2026-03-02T18:01:56.196000Z",
  "date_modified": "2026-03-02T18:01:56.196000Z",
  "file_hash": "511a5894f15ef095c0489c5998fd1619197bab61d15e988cf593340182a984e2",
  "private": false,
  "record": {
    "abstract": "Entanglement transformation of composite quantum systems is investigated in\nthe context of group representation theory. Representation of the direct\nproduct group $SL(2,C)\\otimes SL(2,C)$, composed of local operators acting on\nthe binary composite system, is realized in the four-dimensional complex space\nin terms of a set of novel bases that are pseudo orthonormalized. The\ntwo-to-one homomorphism is then established for the group $SL(2,C)\\otimes\nSL(2,C)$ onto the $SO(4,C)$. It is shown that the resulting representation\ntheory leads to the complete characterization for the entanglement\ntransformation of the binary composite system.",
    "arxiv_id": "quant-ph/0212152",
    "authors": [
      "Li-Xiang Cen",
      "Xin-Qi Li",
      "YiJing Yan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/49/009",
    "journal_ref": "J. Phys. A 36, 12267 (2003)",
    "title": "Characterization of entanglement transformation via group representation   theory",
    "url": "https://arxiv.org/abs/quant-ph/0212152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd492bcf-8a59-45ea-86f3-8feb4791681f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}