{
  "annotation_id": "05cf7404-a557-4a33-a4f7-23cdf76cf782",
  "date_created": "2026-03-02T18:02:13.469000Z",
  "date_modified": "2026-03-02T18:02:13.469000Z",
  "file_hash": "db475c055f1f638bfc3407dff4af2b1f81be3983768fa2b5230bb016e31c5f4f",
  "private": false,
  "record": {
    "abstract": "Effect of replacing the classical game object with a quantum object is\nanalyzed. We find this replacement requires a throughout reformation of the\nframework of Game Theory. If we use density matrix to represent strategy state\nof players, they are full-structured density matrices with off-diagonal\nelements for the new games, while reduced diagonal density matrix will be\nenough for the traditional games on classical objects. In such formalism, the\npayoff function of every player becomes Hermitian Operator acting on the\ndensity matrix. Therefore, the new game looks really like Quantum Mechanics\nwhile the traditional game becomes Classical Mechanics.",
    "arxiv_id": "quant-ph/0503094",
    "authors": [
      "Jinshan Wu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Theory of Games on Quantum Objects",
    "url": "https://arxiv.org/abs/quant-ph/0503094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ecedcf4d-a42d-4e60-89df-af4d736ef7b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}