{
  "annotation_id": "5e9f8fa9-7ff4-4f4b-8613-ad14b89e70a1",
  "date_created": "2026-03-02T18:02:13.755000Z",
  "date_modified": "2026-03-02T18:02:13.755000Z",
  "file_hash": "109cfbd10de68226d5190659da6be28f9bedf30367ac40c7647a37d1380d7368",
  "private": false,
  "record": {
    "abstract": "We address unitary local (UL) invariance of bipartite pure states. Given a\nbipartite state $|\\Psi\u003e\u003e=\\sum_{ij} \\psi_{ij}\\: |i\u003e_1\\otimes |j\u003e_2$ the complete\ncharacterization of the class of local unitaries $U_1\\otimes U_2$ for which\n$U_1\\otimes U_2 |\\Psi\u003e\u003e=|\\Psi\u003e\u003e$ is obtained.The two relevant parameters are\nthe rank of the matrix $\\Psi$, $[\\Psi]_{ij}=\\psi_{ij}$, and the number of its\nequal singular values, {\\em i.e.} the degeneracy of the eigenvalues of the\npartial traces of $|\\Psi\u003e\u003e$.",
    "arxiv_id": "quant-ph/0502025",
    "authors": [
      "Matteo G A Paris"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int. J. Quant. Inf. 3, 655 (2005).",
    "title": "Unitary local invariance",
    "url": "https://arxiv.org/abs/quant-ph/0502025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9dc3267e-c606-4de0-b9ad-c8a91eba6392",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}