{
  "annotation_id": "37896ba1-e18a-4ac0-86f8-471f1e164d82",
  "date_created": "2026-03-02T18:02:30.803000Z",
  "date_modified": "2026-03-02T18:02:30.803000Z",
  "file_hash": "f304be9ae8402452ad12878182c64fcf54171b3481c88e95e3f203be9592245f",
  "private": false,
  "record": {
    "abstract": "Many of the properties of the partial transposition are not clear so far.\nHere the number of the negative eigenvalues of K(T)(the partial transposition\nof K) is considered carefully when K is a two-partite state. There are strong\nevidences to show that the number of negative eigenvalues of K(T) is N(N-1)/2\nat most when K is a state in Hilbert space N*N. For the special case, 2*2\nsystem(two qubits), we use this result to give a partial proof of the\nconjecture sqrt(K(T))(T)\u003e=0. We find that this conjecture is strongly connected\nwith the entanglement of the state corresponding to the negative eigenvalue of\nK(T) or the negative entropy of K.",
    "arxiv_id": "quant-ph/0609091",
    "authors": [
      "Y. -J. Han",
      "X. J. Ren",
      "Y. C. Wu",
      "G. -C. Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Partial transposition on bi-partite system",
    "url": "https://arxiv.org/abs/quant-ph/0609091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3fc39f08-4d1d-4293-90a6-0c8646d40f53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}