{
  "annotation_id": "e4bbf324-dd80-410a-b6f6-a47a1ab5e628",
  "date_created": "2026-03-02T18:01:48.897000Z",
  "date_modified": "2026-03-02T18:01:48.897000Z",
  "file_hash": "d207a13e68f9d52f6d39a4dd32669cfedb4db85a6a4d38729caf8da8f00bc5ef",
  "private": false,
  "record": {
    "abstract": "This report gives a lower bound of entanglement cost for antisymmetric states\nof bipartite d-level systems to be log_2 (d/(d-1)) ebit (for d=3, E_c \u003e=\n0.585...). The paper quant-ph/0112131 claims that the value is equal to one\nebit for d=3, since all of the eigenvalues of reduced matrix of any pure states\nliving in N times tensor product of antisymmetric space is not greater than\n2^(-N) thus the von Neumann entropy is not less than N, but the proof is not\ntrue. Hence whether the value is equal to or less than one ebit is not clear at\nthis moment.",
    "arxiv_id": "quant-ph/0203039",
    "authors": [
      "Toshiyuki Shimono"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Lower Bound for entanglement cost of antisymmetric states",
    "url": "https://arxiv.org/abs/quant-ph/0203039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a176c22-2304-48f9-973f-312109b90fa9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}