{
  "annotation_id": "c30d2452-be57-433a-bde9-b1e778e7fb7d",
  "date_created": "2026-03-02T18:02:41.544000Z",
  "date_modified": "2026-03-02T18:02:41.544000Z",
  "file_hash": "de63ab5cbb0e11f40308fac3ff341339fc208c37ed491bab197f2ad10c0bc0f8",
  "private": false,
  "record": {
    "abstract": "We define a metric in the space of quantum states taking the Monge distance\nbetween corresponding Husimi distributions (Q--functions). This quantity\nfulfills the axioms of a metric and satisfies the following semiclassical\nproperty: the distance between two coherent states is equal to the Euclidean\ndistance between corresponding points in the classical phase space. We compute\nanalytically distances between certain states (coherent, squeezed, Fock and\nthermal) and discuss a scheme for numerical computation of Monge distance for\ntwo arbitrary quantum states.",
    "arxiv_id": "quant-ph/9711011",
    "authors": [
      "Karol Zyczkowski",
      "Wojciech Slomczynski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/45/009",
    "journal_ref": "J.Phys.A31:9095-9104,1998",
    "title": "Monge Distance between Quantum States",
    "url": "https://arxiv.org/abs/quant-ph/9711011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9984418a-9fb4-41c4-a59f-b5fb515d30b7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}