{
  "annotation_id": "ec26521b-1005-4ea0-a044-690d8dfbdf5e",
  "date_created": "2026-03-02T18:02:06.812000Z",
  "date_modified": "2026-03-02T18:02:06.812000Z",
  "file_hash": "bcf50f8b61885119127adbb7fa9faa1ee50f2e792f3ab8cabd248c9ca942a86e",
  "private": false,
  "record": {
    "abstract": "A model of a quantum version of classical games should reproduce the original\nclassical games in order to be able to make a comparative analysis of quantum\nand classical effects. We analyze a class of symmetric multipartite entangled\nstates and their effect on the reproducibility of the classical games. We\npresent the necessary and sufficient condition for the reproducibility of the\noriginal classical games. Satisfying this condition means that complete\northogonal bases can be constructed from a given multipartite entangled state\nprovided that each party is restricted to two local unitary operators. We prove\nthat most of the states belonging to the class of symmetric states with respect\nto permutations, including the N-qubit W state, do not satisfy this condition.",
    "arxiv_id": "quant-ph/0404151",
    "authors": [
      "Junichi Shimamura",
      "\u015eahin Kaya \u00d6zdemir",
      "Fumiaki Morikoshi",
      "Nobuyuki Imoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.06.006",
    "journal_ref": "Physics Letters A, 328, 20-25 (2004)",
    "title": "Entangled states that cannot reproduce original classical games in their   quantum version",
    "url": "https://arxiv.org/abs/quant-ph/0404151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e7bcdf8-2544-4688-a654-d27171f471d1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}