{
  "annotation_id": "71364fed-9d0d-41d1-81dd-d780755279d1",
  "date_created": "2026-03-02T18:02:06.409000Z",
  "date_modified": "2026-03-02T18:02:06.409000Z",
  "file_hash": "2f71982da80fb238779f48e58673a74428abae5d461aa34de2820959761cf6ee",
  "private": false,
  "record": {
    "abstract": "\"Information is physical\", and here we consider the physical directional\ninformation of a particle with spin. We ask whether, in the presence of a\nclassical frame of reference, such a particle contains any intrinsic\ndirectional information, ie. information above that which can be transmitted by\na classical bit. We show that when sending a large number of spins, the answer\nis asymptotically \"no\". For finite numbers of spins, N, we do not know the\nanswer. We also show that any frame of reference which we can consider to be\nclassical must use some resource which is exponentially large in N. This gives\na quantitative meaning to the idea that classical objects are big.",
    "arxiv_id": "quant-ph/0401096",
    "authors": [
      "Daniel Collins",
      "Sandu Popescu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Frames of Reference and the Intrinsic Directional Information of a   Particle With Spin",
    "url": "https://arxiv.org/abs/quant-ph/0401096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ce2e68d-3ae9-4f54-99cf-91d26da193e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}