{
  "id": "quant-ph/0609091",
  "version": "v1",
  "published": "2006-09-12T11:13:12.000Z",
  "updated": "2006-09-12T11:13:12.000Z",
  "title": "Partial transposition on bi-partite system",
  "authors": [
    "Y. -J. Han",
    "X. J. Ren",
    "Y. C. Wu",
    "G. -C. Guo"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "Many of the properties of the partial transposition are not clear so far. Here the number of the negative eigenvalues of K(T)(the partial transposition of K) is considered carefully when K is a two-partite state. There are strong evidences to show that the number of negative eigenvalues of K(T) is N(N-1)/2 at most when K is a state in Hilbert space N*N. For the special case, 2*2 system(two qubits), we use this result to give a partial proof of the conjecture sqrt(K(T))(T)>=0. We find that this conjecture is strongly connected with the entanglement of the state corresponding to the negative eigenvalue of K(T) or the negative entropy of K.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-12T11:13:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial transposition",
      "bi-partite system",
      "negative eigenvalue",
      "two-partite state",
      "strong evidences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006quant.ph..9091H"
    }
  }
}