{
  "annotation_id": "bfdc2220-cad3-4b6e-9c06-c3515d92599c",
  "date_created": "2026-03-02T18:01:38.353000Z",
  "date_modified": "2026-03-02T18:01:38.353000Z",
  "file_hash": "f2ce325e8eb874767ba2b738ada6df2d371a2bee5a1868fa06989a8eb932952f",
  "private": false,
  "record": {
    "abstract": "What fundamental constraints characterize the relationship between a mixture\n$\\rho = \\sum_i p_i \\rho_i$ of quantum states, the states $\\rho_i$ being mixed,\nand the probabilities $p_i$? What fundamental constraints characterize the\nrelationship between prior and posterior states in a quantum measurement? In\nthis paper we show that there are many surprisingly strong constraints on these\nmixing and measurement processes that can be expressed simply in terms of the\neigenvalues of the quantum states involved. These constraints capture in a\nsuccinct fashion what it means to say that a quantum measurement acquires\ninformation about the system being measured, and considerably simplify the\nproofs of many results about entanglement transformation.",
    "arxiv_id": "quant-ph/0008073",
    "authors": [
      "M. A. Nielsen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.022114",
    "journal_ref": "Physical Review A 61 (6): Art. No. 064301 (2000)",
    "title": "Characterizing mixing and measurement in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0008073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ad1d15e6-39db-4d53-9b42-76b84bf41cfd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}