{
  "annotation_id": "6716b37c-9062-4589-96ec-918141a06fe8",
  "date_created": "2026-03-02T18:02:20.598000Z",
  "date_modified": "2026-03-02T18:02:20.598000Z",
  "file_hash": "84e4b11af57b7249c230d0b9e33b03d674b8d95f8f032d39152267428be775a9",
  "private": false,
  "record": {
    "abstract": "We show that the global infinitesimal change in the multi-particle pure\nproduct state gives rise to an entangled state. This suggests that even if\nthere is no interaction present between the subsystems, i.e., at each time\ninstant the state is non-entangled, the tangent vector is typically entangled.\nSince the tangent space vectors tell the state-space vectors how to change this\nimplies that quantum entanglement is necessary for motion or change in general.\nThis is truly a `hidden power\u0027 of quantum entanglement. During quantum\ncomputation even though at each time instant the state is not entangled,\nquantum entanglement guides the process of computation. This observation\napplies to multi-particle pure, pseudo-pure and mixed states as well.",
    "arxiv_id": "quant-ph/0510133",
    "authors": [
      "Arun K. Pati"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Infinitesimal change is a Non-local Operation: Hidden power of Quantum   Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0510133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d84e3294-21b6-477c-a93d-b3406b8cd1e3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}