{
  "annotation_id": "02a5d6c7-c5e2-4eba-9fd9-6f864f199898",
  "date_created": "2026-03-02T18:02:13.742000Z",
  "date_modified": "2026-03-02T18:02:13.742000Z",
  "file_hash": "e2f963113ce8738452c8cef6874e72e12d9032fd7bb991cc88ffe6e53ee0e129",
  "private": false,
  "record": {
    "abstract": "The notion of perfect correlations between arbitrary observables, or more\ngenerally arbitrary POVMs, is introduced in the standard formulation of quantum\nmechanics, and characterized by several well-established statistical\nconditions. The transitivity of perfect correlations is proved to generally\nhold, and applied to a simple articulation for the failure of Hardy\u0027s\nnonlocality proof for maximally entangled states. The notion of perfect\ncorrelations between observables and POVMs is used for defining the notion of a\nprecise measurement of a given observable in a given state. A longstanding\nmisconception on the correlation made by the measuring interaction is resolved\nin the light of the new theory of quantum perfect correlations.",
    "arxiv_id": "quant-ph/0501081",
    "authors": [
      "Masanao Ozawa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2005.08.007",
    "journal_ref": "Annals of Physics 321 (2006) 744-769",
    "title": "Quantum perfect correlations",
    "url": "https://arxiv.org/abs/quant-ph/0501081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79904abe-d920-437f-b501-ade2b791f99c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}