{
  "annotation_id": "9f909dd7-fa4c-4ae6-9da8-622350c489aa",
  "date_created": "2026-03-02T18:02:10.345000Z",
  "date_modified": "2026-03-02T18:02:10.345000Z",
  "file_hash": "9bc08ed747857f1c97c845503a89cd53b9b3c7cc8e157fce38d8a05d0eae22a7",
  "private": false,
  "record": {
    "abstract": "We analyze and further develop a new method to represent the quantum state of\na system of $n$ qubits in a phase space grid of $N\\times N$ points (where\n$N=2^n$). The method, which was recently proposed by Wootters and co--workers\n(Gibbons {\\it et al.}, quant-ph/0401155), is based on the use of the elements\nof the finite field $GF(2^n)$ to label the phase space axes. We present a\nself--contained overview of the method, we give new insights on some of its\nfeatures and we apply it to investigate problems which are of interest for\nquantum information theory: We analyze the phase space representation of\nstabilizer states and quantum error correction codes and present a phase space\nsolution to the so--called ``mean king problem\u0027\u0027.",
    "arxiv_id": "quant-ph/0410117",
    "authors": [
      "Juan Pablo Paz",
      "Augusto Jose Roncaglia",
      "Marcos Saraceno"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.012309",
    "journal_ref": "Phys. Rev. A 72, 012309 (2005)",
    "title": "Qubits in phase space: Wigner function approach to quantum error   correction and the mean king problem",
    "url": "https://arxiv.org/abs/quant-ph/0410117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cad83daf-c8e6-4260-80f5-eb6263ac344b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}