{
  "annotation_id": "025d69ef-0805-4be9-9763-0cdbd5256f40",
  "date_created": "2026-03-02T18:01:49.152000Z",
  "date_modified": "2026-03-02T18:01:49.152000Z",
  "file_hash": "d00f1ecda98c516a2824f16184ff36e1fda0f96743973a2377b06d1feb9de0e6",
  "private": false,
  "record": {
    "abstract": "We present the modified relative entropy of entanglement (MRE) that is proved\nto be a upper bound of distillable entanglement (DE), also relative entropy of\nentanglement (RE), and a lower bound of entanglement of formation (EF). For a\npure state, MRE is found by the requirement that MRE is equal to EF. For a\nmixed state, MRE is calculated by defining a total relative density matrix. We\nobtain an explicit and \"weak\" closed expressions of MRE that depends on the\npure state decompositions for two qubit systems and give out an algorithm to\ncalculate MRE in principle for more qubit systems. MRE significantly improves\nthe computability of RE, decreases the sensitivity on the pure state\ndecompositions in EF, reveals the particular difference of similar departure\nstates from Bell\u0027s state and restore the logarithmic dependence on probability\nof component states consistent with information theory. As examples, we\ncalculate MRE of the mixture of Bell\u0027s states and departure states from Bell\u0027s\nstates, and compare them with EF as well as Wootters\u0027 EF. Moreover we study the\nimportant properties of MRE including the behavior under local general\nmeasurement (LGM) and classical communication (CC).",
    "arxiv_id": "quant-ph/0203093",
    "authors": [
      "An Min Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Modification of relative entropy of entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0203093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b41bddc-f5a2-4c6c-8dc3-7c23d5c49bff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}