{
  "annotation_id": "747d1139-9d55-4f37-9dfb-1ee976af6aab",
  "date_created": "2026-03-02T18:01:55.456000Z",
  "date_modified": "2026-03-02T18:01:55.456000Z",
  "file_hash": "2b6cf04ded13e0a15596daf202e12da9c27c71f486bb133c7703eb0a13664b26",
  "private": false,
  "record": {
    "abstract": "We show that all the N-qubit states can be classified as N entanglement\nclasses each of which has an entanglement index $E=N-p=0,1,...,N-1$(E=0\ncorresponds to a fully separate class) where $p$ denotes number of groups for a\npartition of the positive integer N. In other words, for any partition\n$(n_1,n_2,...,n_p)$ of N with $n_j\\ge 1$ and $N=\\sum_{j=1}^{p}n_j$, the\nentanglement index for the corresponding state\n$\\rho_{n_1}\\bigotimes\\rho_{n_2}...\\bigotimes \\rho_{n_p}$ with $\\rho_{n_j}$\ndenoting a fully entangled state of $n_j-$qubits is\n$E(\\rho_{n_1}\\bigotimes\\rho_{n_2}...\\bigotimes\n\\rho_{n_p})=\\sum_{j=1}^{p}(n_j-1)=N-p$.",
    "arxiv_id": "quant-ph/0211139",
    "authors": [
      "Ying Wu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "N-qubit Entanglement Index and Classification",
    "url": "https://arxiv.org/abs/quant-ph/0211139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1da676ad-7f6e-4f3d-bed1-6ec3e30fcc8d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}