{
  "annotation_id": "b04d2a09-3015-428f-aa52-89c2c8268e1e",
  "date_created": "2026-03-02T18:01:55.797000Z",
  "date_modified": "2026-03-02T18:01:55.797000Z",
  "file_hash": "d0c5d54b33ace1afc59068ca3a3be6928c7a7fa70fdd1f93d32749e2ec0fbd0d",
  "private": false,
  "record": {
    "abstract": "We investigate the properties of three entanglement measures that quantify\nthe statistical distinguishability of a given state with the closest\ndisentangled state that has the same reductions as the primary state. In\nparticular, we concentrate on the relative entropy of entanglement with\nreversed entries. We show that this quantity is an entanglement monotone which\nis strongly additive, thereby demonstrating that monotonicity under local\nquantum operations and strong additivity are compatible in principle. In\naccordance with the presented statistical interpretation which is provided,\nthis entanglement monotone, however, has the property that it diverges on pure\nstates, with the consequence that it cannot distinguish the degree of\nentanglement of different pure states. We also prove that the relative entropy\nof entanglement with respect to the set of disentangled states that have\nidentical reductions to the primary state is an entanglement monotone. We\nfinally investigate the trace-norm measure and demonstrate that it is also a\nproper entanglement monotone.",
    "arxiv_id": "quant-ph/0212007",
    "authors": [
      "J. Eisert",
      "K. Audenaert",
      "M. B. Plenio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/20/316",
    "journal_ref": "J. Phys. A 36, 5605 (2003)",
    "title": "Remarks on entanglement measures and non-local state distinguishability",
    "url": "https://arxiv.org/abs/quant-ph/0212007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "72c9ca32-d225-4e74-8eff-2245fa02f84d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}