{
  "annotation_id": "38375fae-cff2-4c44-8d5f-112867d4ae3a",
  "date_created": "2026-03-02T18:01:58.855000Z",
  "date_modified": "2026-03-02T18:01:58.855000Z",
  "file_hash": "c60377581d6e710f4afdc91863ec98ed98eafcdd59032ca88867e03be1854814",
  "private": false,
  "record": {
    "abstract": "We study the interrelationships between the Fisher information metric\nrecently introduced, on the basis of maximum entropy considerations, by Brody\nand Hughston (quant-ph/9906085) and the monotone metrics, as explicated by Petz\nand Sudar. This new metric turns out to be not strictly monotone in nature, and\nto yield (via its normalized volume element) a prior probability distribution\nover the Bloch ball of two-level quantum systems that is less noninformative\nthan those obtained from any of the monotone metrics, even the minimal monotone\n(Bures) metric. We best approximate the additional information contained in the\nBrody-Hughston prior over that contained in the Bures prior by constructing a\ncertain Bures posterior probability distribution. This is proportional to the\nproduct of the Bures prior and a likelihood function based on four pairs of\nspin measurements oriented along the diagonal axes of an inscribed cube.",
    "arxiv_id": "quant-ph/0304029",
    "authors": [
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The Brody-Hughston Fisher Information Metric",
    "url": "https://arxiv.org/abs/quant-ph/0304029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ced6a09-58f5-43d6-a286-4d640eb0a8dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}