{
  "annotation_id": "68664971-b32c-46f4-b55e-aa71538a1cd9",
  "date_created": "2026-03-02T18:01:38.151000Z",
  "date_modified": "2026-03-02T18:01:38.151000Z",
  "file_hash": "87123258493d794fd2b0aa01f0476c7baeea9c3ff91f0fd421b59c1c7e119066",
  "private": false,
  "record": {
    "abstract": "A general two qubit system expressed in terms of the complete set of unit and\nfifteen traceless, Hermitian Dirac matrices, is shown to exhibit novel features\nof this system. The well-known physical interpretations associated with the\nrelativistic Dirac equation involving the symmetry operations of time-reversal\nT, charge conjugation C, parity P, and their products are reinterpreted here by\nexamining their action on the basic Bell states. The transformation properties\nof the Bell basis states under these symmetry operations also reveal that C is\nthe only operator that does not mix the Bell states whereas all others do. In a\nsimilar fashion, expressing the various logic gates introduced in the subject\nof quantum computers in terms of the Dirac matrices shows for example, that the\nNOT gate is related to the product of time-reversal and parity operators.",
    "arxiv_id": "quant-ph/0006129",
    "authors": [
      "A. K. Rajagopal",
      "R. W. Rendell"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.024303",
    "title": "Two Qubits in the Dirac Representation",
    "url": "https://arxiv.org/abs/quant-ph/0006129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a31ebfc-a3ab-4c99-9b1b-2a9680ae2877",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}