{
  "annotation_id": "90e2f81d-008d-4c9b-8fd8-19684901a609",
  "date_created": "2026-03-02T18:01:44.861000Z",
  "date_modified": "2026-03-02T18:01:44.861000Z",
  "file_hash": "8c7b87c3a827826e0dc7373d24c2a2c923c772b52d19f1565cb1c6f831616e55",
  "private": false,
  "record": {
    "abstract": "We show how to represent the state and the evolution of a quantum computer\n(or any system with an $N$--dimensional Hilbert space) in phase space. For this\npurpose we use a discrete version of the Wigner function which, for arbitrary\n$N$, is defined in a phase space grid of $2N\\times 2N$ points. We compute such\nWigner function for states which are relevant for quantum computation. Finally,\nwe discuss properties of quantum algorithms in phase space and present the\nphase space representation of Grover\u0027s quantum search algorithm.",
    "arxiv_id": "quant-ph/0106091",
    "authors": [
      "Pablo Bianucci",
      "Cesar Miquel",
      "Juan Pablo Paz",
      "Marcos Saraceno"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)00391-2",
    "title": "Discrete Wigner functions and the phase space representation of quantum   computers",
    "url": "https://arxiv.org/abs/quant-ph/0106091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ff06fdb9-96ef-4f21-a353-f34ae040296a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}