{
  "annotation_id": "4c92b462-5903-4a79-9841-16592ce68e08",
  "date_created": "2026-03-02T18:01:49.548000Z",
  "date_modified": "2026-03-02T18:01:49.548000Z",
  "file_hash": "5a43b88c0092a061d6c9dc04fb4199869addc59442f19bfcd9eac8b6faeb0cd5",
  "private": false,
  "record": {
    "abstract": "We introduce a measure of both quantum as well as classical correlations in a\nquantum state, the entanglement of purification. We show that the (regularized)\nentanglement of purification is equal to the entanglement cost of creating a\nstate $\\rho$ asymptotically from maximally entangled states, with negligible\ncommunication. We prove that the classical mutual information and the quantum\nmutual information divided by two are lower bounds for the regularized\nentanglement of purification. We present numerical results of the entanglement\nof purification for Werner states in ${\\cal H}_2 \\otimes {\\cal H}_2$.",
    "arxiv_id": "quant-ph/0202044",
    "authors": [
      "Barbara M. Terhal",
      "Michal Horodecki",
      "Debbie W. Leung",
      "David P. DiVincenzo"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1498001",
    "journal_ref": "J. Math. Phys. 43, 4286--4298 (2002)",
    "title": "The entanglement of purification",
    "url": "https://arxiv.org/abs/quant-ph/0202044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0194370-a4a4-4bc6-ae30-4d1a4d431602",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}