{
  "annotation_id": "7b837627-6096-43c6-b022-22ef1c3e71cf",
  "date_created": "2026-03-02T18:02:09.528000Z",
  "date_modified": "2026-03-02T18:02:09.528000Z",
  "file_hash": "e69d59a0507a309075727acce586302394e173f3e6bad5665daf5277a71a57fe",
  "private": false,
  "record": {
    "abstract": "We study the entanglement properties of the ground state in Kitaev\u0027s model.\nThis is a two-dimensional spin system with a torus topology and nontrivial\nfour-body interactions between its spins. For a generic partition $(A,B)$ of\nthe lattice we calculate analytically the von Neumann entropy of the reduced\ndensity matrix $\\rho_A$ in the ground state. We prove that the geometric\nentropy associated with a region $A$ is linear in the length of its boundary.\nMoreover, we argue that entanglement can probe the topology of the system and\nreveal topological order. Finally, no partition has zero entanglement and we\nfind the partition that maximizes the entanglement in the given ground state.",
    "arxiv_id": "quant-ph/0406202",
    "authors": [
      "A. Hamma",
      "R. Ionicioiu",
      "P. Zanardi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.01.060",
    "journal_ref": "Phys.Lett. A 337, 22 (2005)",
    "title": "Ground state entanglement and geometric entropy in the Kitaev\u0027s model",
    "url": "https://arxiv.org/abs/quant-ph/0406202"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0dd33b35-cc95-443a-adac-827ffbb6153e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}