{
  "annotation_id": "63e3cf8e-2160-44f3-9b54-2ae3a99886f2",
  "date_created": "2026-03-02T18:02:40.705000Z",
  "date_modified": "2026-03-02T18:02:40.705000Z",
  "file_hash": "843c94e56a077163e3f59b0d05300c88ec766ed46329a0336a66743e95fcf668",
  "private": false,
  "record": {
    "abstract": "The newfound importance of ``entanglement as a resource\u0027\u0027 in quantum\ncomputation and quantum communication compels us to quantify it in as many\ndistinct ways as possible. Here we explore a new measure of entanglement for\nmixed quantum states of bipartite systems, which we name the Entanglement of\nAssistance. We show it to be the maximum average entanglement of all pure-state\nensembles consistent with the given density matrix. In this sense, the\nEntanglement of Assistance is a quantity directly dual to the more standard\nEntanglement of Formation. With the help of lower and upper bounds, we\ncalculate the Entanglement of Assistance for a few cases and use these results\nto show that it possesses the surprising property of superadditivity. We\nbelieve that this may shed some light on the question of additivity for the\nEntanglement of Formation.",
    "arxiv_id": "quant-ph/9803033",
    "authors": [
      "David P. DiVincenzo",
      "Christopher A. Fuchs",
      "Hideo Mabuchi",
      "John A. Smolin",
      "Ashish Thapliyal",
      "Armin Uhlmann"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Entanglement of Assistance",
    "url": "https://arxiv.org/abs/quant-ph/9803033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "53f5be16-d507-4ffd-b14f-4f921367bc32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}