{
  "annotation_id": "17a1a8ba-367e-42f0-9394-372efa349353",
  "date_created": "2026-03-02T18:02:20.777000Z",
  "date_modified": "2026-03-02T18:02:20.777000Z",
  "file_hash": "20b6cd8323bb853445ccdae84b713abd4553a9937d6029d276167e612488518c",
  "private": false,
  "record": {
    "abstract": "For a system of N qubits, spanning a Hilbert space of dimension d=2^N, it is\nknown that there exists d+1 mutually unbiased bases. Different construction\nalgorithms exist, and it is remarkable that different methods lead to sets of\nbases with different properties as far as separability is concerned. Here we\nderive the four sets of nine bases for three qubits, and show how they are\nunitarily related. We also briefly discuss the four-qubit case, give the\nentanglement structure of sixteen sets of bases,and show some of them, and\ntheir interrelations, as examples. The extension of the method to the general\ncase of N qubits is outlined.",
    "arxiv_id": "quant-ph/0508129",
    "authors": [
      "J. L. Romero",
      "G. Bjork",
      "A. B. Klimov",
      "L. L. Sanchez-Soto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062310",
    "title": "On the structure of the sets of mutually unbiased bases for N qubits",
    "url": "https://arxiv.org/abs/quant-ph/0508129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2f47cac-c166-48a8-bd02-401acd4202a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}