{
  "annotation_id": "c65659ec-4760-4a4f-89bd-1b4409644f3e",
  "date_created": "2026-03-02T18:01:52.683000Z",
  "date_modified": "2026-03-02T18:01:52.683000Z",
  "file_hash": "4fdda1ccfe8a256547703059c0aa43d8c8c8dd62c5aef5acb6b4635cb5a8596f",
  "private": false,
  "record": {
    "abstract": "With any state of a multipartite quantum system its separability polytope is\nassociated. This is an algebro-topological object (non-trivial only for mixed\nstates) which captures the localisation of entanglement of the state.\nParticular examples of separability polytopes for 3-partite systems are\nexplicitly provided. It turns out that this characterisation of entanglement is\nassociated with simulation of arbitrary unitary operations by 1- and 2-qubit\ngates. A topological description of how entanglement changes in course of such\nsimulation is provided.",
    "arxiv_id": "quant-ph/0207058",
    "authors": [
      "Roman R. Zapatrin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340308234539",
    "title": "Combinatorial Topology Of Multipartite Entangled States",
    "url": "https://arxiv.org/abs/quant-ph/0207058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "10d44e98-dbfc-433b-b59b-c3d302f40b2d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}