{
  "annotation_id": "1b7a1f6d-addd-47d3-b2cb-e65f47974d19",
  "date_created": "2026-03-02T18:02:33.451000Z",
  "date_modified": "2026-03-02T18:02:33.451000Z",
  "file_hash": "ade6ff3e5b4fa3dd83d36fd36a8154e1b5944cbe637e833ca0ba95d6bc8f9c6b",
  "private": false,
  "record": {
    "abstract": "For systems of two and three spins 1/2 it is known that the second moment of\nthe Husimi function can be related to entanglement properties of the\ncorresponding states. Here, we generalize this relation to an arbitrary number\nof spins in a pure state. It is shown that the second moment of the Husimi\nfunction can be expressed in terms of the lengths of the concurrence vectors\nfor all possible partitions of the N-spin system in two subsystems. This\nrelation implies that the phase space distribution of an entangled state is\nless localized than that of a non-entangled state. As an example, the second\nmoment of the Husimi function is analyzed for an Ising chain subject to a\nmagnetic field perpendicular to the chain axis.",
    "arxiv_id": "quant-ph/0611257",
    "authors": [
      "Stefan Schenk",
      "Gert-Ludwig Ingold"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.022328",
    "journal_ref": "Phys. Rev. A 75, 022328 (2007)",
    "title": "Relation between phase space coverage and entanglement for spin-1/2   systems",
    "url": "https://arxiv.org/abs/quant-ph/0611257"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dcb7f9d6-12be-40dd-ba57-f967fa26a382",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}