{
  "annotation_id": "d277561b-d5a5-4dd6-af71-1bbcfc76f35f",
  "date_created": "2026-03-02T18:01:52.566000Z",
  "date_modified": "2026-03-02T18:01:52.566000Z",
  "file_hash": "2a96e0e785e05a969003998e864cc861e43d50927cdf80356ac524b1e33a3238",
  "private": false,
  "record": {
    "abstract": "The Partition Ensemble Fallacy was recently applied to claim no quantum\ncoherence exists in coherent states produced by lasers. We show that this claim\nrelies on an untestable belief of a particular prior distribution of absolute\nphase. One\u0027s choice for the prior distribution for an unobservable quantity is\na matter of `religion\u0027. We call this principle the Partition Ensemble Fallacy\nFallacy. Further, we show an alternative approach to construct a\nrelative-quantity Hilbert subspace where unobservability of certain quantities\nis guaranteed by global conservation laws. This approach is applied to coherent\nstates and constructs an approximate relative-phase Hilbert subspace.",
    "arxiv_id": "quant-ph/0207135",
    "authors": [
      "Kae Nemoto",
      "Samuel L. Braunstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The Partition Ensemble Fallacy Fallacy",
    "url": "https://arxiv.org/abs/quant-ph/0207135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dbae895f-84a1-416e-a744-a349650f1ea4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}