{
  "annotation_id": "e4150aa3-4ec6-4b60-a06a-a0cdfc23933d",
  "date_created": "2026-03-02T18:01:38.864000Z",
  "date_modified": "2026-03-02T18:01:38.864000Z",
  "file_hash": "269f8825cac53bca612a6f2383e9cb479019a9cbb1fe223b328f07e9b552c5bd",
  "private": false,
  "record": {
    "abstract": "We consider entanglement for quantum states defined in vector spaces over the\nreal numbers. Such real entanglement is different from entanglement in standard\nquantum mechanics over the complex numbers. The differences provide insight\ninto the nature of entanglement in standard quantum theory. Wootters [Phys.\nRev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement\nof formation of two qubits in terms of what he calls the concurrence of the\njoint density operator. We give a contrasting formula for the entanglement of\nformation of an arbitrary state of two ``rebits,\u0027\u0027 a rebit being a system whose\nHilbert space is a 2-dimensional real vector space.",
    "arxiv_id": "quant-ph/0009063",
    "authors": [
      "Carlton M. Caves",
      "Christopher A. Fuchs",
      "Pranaw Rungta"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Entanglement of Formation of an Arbitrary State of Two Rebits",
    "url": "https://arxiv.org/abs/quant-ph/0009063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec59b965-79d1-450e-a527-7a033cadec63",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}