{
  "annotation_id": "663536ac-8319-4efb-98f5-2352dc2c718d",
  "date_created": "2026-03-02T18:02:31.152000Z",
  "date_modified": "2026-03-02T18:02:31.152000Z",
  "file_hash": "9e6b6b0119e6c2069f856a14cd07f2700979d16c428adf5ad17a121b3675eb04",
  "private": false,
  "record": {
    "abstract": "We propose a method of visualizing superpositions of macroscopically distinct\nstates in many-body pure states. We introduce a visualization function, which\nis a coarse-grained quasi joint probability density for two or more hermitian\nadditive operators. If a state contains superpositions of macroscopically\ndistinct states, one can visualize them by plotting the visualization function\nfor appropriately taken operators. We also explain how to efficiently find\nappropriate operators for a given state. As examples, we visualize four states\ncontaining superpositions of macroscopically distinct states: the ground state\nof the XY model, that of the Heisenberg antiferromagnet, a state in Shor\u0027s\nfactoring algorithm, and a state in Grover\u0027s quantum search algorithm. Although\nthe visualization function can take negative values, it becomes non-negative\n(hence becomes a coarse-grained joint probability density) if the\ncharacteristic width of the coarse-graining function used in the visualization\nfunction is sufficiently large.",
    "arxiv_id": "quant-ph/0608196",
    "authors": [
      "Tomoyuki Morimae",
      "Akira Shimizu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.052111",
    "journal_ref": "Phys. Rev. A 74, 052111 (2006)",
    "title": "Visualization of superposition of macroscopically distinct states",
    "url": "https://arxiv.org/abs/quant-ph/0608196"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "24f3b1fd-eccb-4561-9eb4-e31d0e6dec8d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}