{
  "annotation_id": "bdfb38dc-dcb0-481b-b179-5b9e75d9acc8",
  "date_created": "2026-03-02T18:01:49.581000Z",
  "date_modified": "2026-03-02T18:01:49.581000Z",
  "file_hash": "a2a1df42d4215c964522fe3530b16da70f2e3a37c7c6e8c04489de647bceb246",
  "private": false,
  "record": {
    "abstract": "We study the stabilities of quantum states of macroscopic systems, against\nnoises, against perturbations from environments, and against local\nmeasurements. We show that the stabilities are closely related to the cluster\nproperty, which describes the strength of spatial correlations of fluctuations\nof local observables, and to fluctuations of additive operators. The present\ntheory has many applications, among which we discuss the mechanism of phase\ntransitions in finite systems and quantum computers with a huge number of\nqubits.",
    "arxiv_id": "quant-ph/0202096",
    "authors": [
      "Akira Shimizu",
      "Takayuki Miyadera",
      "Akihisa Ukena"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "doi": "10.1142/9789812704412_0004",
    "title": "Stability of quantum states of finite macroscopic systems",
    "url": "https://arxiv.org/abs/quant-ph/0202096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "637f0f4e-30fd-44d9-9834-78244c164c73",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}