{
  "annotation_id": "d26ab07e-b622-4d38-a0a5-b5ffbb1a53f8",
  "date_created": "2026-03-02T18:02:22.886000Z",
  "date_modified": "2026-03-02T18:02:22.886000Z",
  "file_hash": "1269311a2a37f430ca563224ffcaa664c294b8d1ea5d1c9fd9529ff4b09bef6a",
  "private": false,
  "record": {
    "abstract": "We consider two capacity quantities associated with bipartite unitary gates:\nthe entangling and the disentangling power. For two-qubit unitaries these two\ncapacities are always the same. Here we prove that these capacities are\ndifferent in general. We do so by constructing an explicit example of a\nqubit-qutrit unitary whose entangling power is maximal (2 ebits), but whose\ndisentangling power is strictly less. A corollary is that there can be no\nunique ordering for unitary gates in terms of their ability to perform\nnon-local tasks. Finally we show that in large dimensions, almost all bipartite\nunitaries have entangling and disentangling capacities close to the maximal\npossible (and thus in high dimensions the difference in these capacities is\nsmall for almost all unitaries).",
    "arxiv_id": "quant-ph/0511217",
    "authors": [
      "Noah Linden",
      "John A. Smolin",
      "Andreas Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.103.030501",
    "journal_ref": "Phys. Rev. Lett. 103:030501, 2009",
    "title": "The entangling and disentangling power of unitary transformations are   unequal",
    "url": "https://arxiv.org/abs/quant-ph/0511217"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a0046677-1437-4a24-8086-0077624f6021",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}