{
  "annotation_id": "e076ab97-7ac0-4390-b98d-b76b979ea143",
  "date_created": "2026-03-02T18:02:47.718000Z",
  "date_modified": "2026-03-02T18:02:47.718000Z",
  "file_hash": "1f67032adba028135f0edf7c737ba307524be3a8acc2cee1a8ef1e940c75c3d9",
  "private": false,
  "record": {
    "abstract": "We obtain a general formula for the transition probabilities between any\nstate of the algebra of the canonical commutation relations (CCR-algebra) and a\nsqueezed quasifree state. Applications of this formula are made for the case of\nmultimode thermal squeezed states of quantum optics using a general canonical\ndecomposition of the correlation matrix valid for any quasifree state. In the\nparticular case of a one mode CCR-algebra we show that the transition\nprobability between two quasifree squeezed states is a decreasing function of\nthe geodesic distance between the points of the upper half plane representing\nthese states. In the special case of the purification map it is shown that the\ntransition probability between the state of the enlarged system and the product\nstate of real and fictitious subsystems can be a measure for the entanglement.",
    "arxiv_id": "quant-ph/9908061",
    "authors": [
      "Horia Scutaru"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532656",
    "journal_ref": "Journal of Mathematical Physics, 39, 6403 (1998)",
    "title": "Transition probabilities between quasifree states",
    "url": "https://arxiv.org/abs/quant-ph/9908061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a6aea38-1d5d-4fee-8b37-08938f2870e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}