{
  "annotation_id": "5426c3a4-ba13-4714-b1a0-da5b0b970929",
  "date_created": "2026-03-02T18:02:23.617000Z",
  "date_modified": "2026-03-02T18:02:23.617000Z",
  "file_hash": "703ed2f90fc43bad0c1bafeae7cc030cd14ca4b76fc741d5f6467e4a5dc2e290",
  "private": false,
  "record": {
    "abstract": "We present a novel, universal description of quantum entanglement using group\ntheory and generalized characteristic functions. It leads to new reformulations\nof the separability problem, and the positivity of partial transpose (PPT)\ncriterion. The latter turns out to be intimately related to a certain reality\ncondition for group representations. Within our formalism, we also show a\nconnection between existence of entanglement and group non-commutativity.",
    "arxiv_id": "quant-ph/0601189",
    "authors": [
      "J. K. Korbicz",
      "M. Lewenstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.022318",
    "journal_ref": "Phys. Rev. A 74, 022318 (2006)",
    "title": "Group theoretical approach to entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0601189"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "12644b57-76a6-4d69-aa45-583bbaa84158",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}