{
  "annotation_id": "76a3a195-dc86-406b-815a-65b019366633",
  "date_created": "2026-03-02T18:02:41.481000Z",
  "date_modified": "2026-03-02T18:02:41.481000Z",
  "file_hash": "a75c28d92f522c25d9158fffc4b029a85189d79678c0e01c207c240342548bfb",
  "private": false,
  "record": {
    "abstract": "We exhibit an orthogonal set of product states of two three-state particles\nthat nevertheless cannot be reliably distinguished by a pair of separated\nobservers ignorant of which of the states has been presented to them, even if\nthe observers are allowed any sequence of local operations and classical\ncommunication between the separate observers. It is proved that there is a\nfinite gap between the mutual information obtainable by a joint measurement on\nthese states and a measurement in which only local actions are permitted. This\nresult implies the existence of separable superoperators that cannot be\nimplemented locally. A set of states are found involving three two-state\nparticles which also appear to be nonmeasurable locally. These and other\nmultipartite states are classified according to the entropy and entanglement\ncosts of preparing and measuring them by local operations.",
    "arxiv_id": "quant-ph/9804053",
    "authors": [
      "Charles H. Bennett",
      "David P. DiVincenzo",
      "Christopher A. Fuchs",
      "Tal Mor",
      "Eric Rains",
      "Peter W. Shor",
      "John A. Smolin",
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1103/PhysRevA.59.1070",
    "title": "Quantum Nonlocality without Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/9804053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a42a662d-a2b1-41f2-affc-021380e4b997",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}