{
  "id": "quant-ph/9703004",
  "version": "v2",
  "published": "1997-03-04T17:25:38.000Z",
  "updated": "1997-05-23T13:50:05.000Z",
  "title": "Separability criterion and inseparable mixed states with positive partial transposition",
  "authors": [
    "Pawel Horodecki"
  ],
  "comment": "It is improved and extended version of the former manuscript, in particular the theorem concerning finite decomposition of separable states has been included, 14 pages, RevTeX",
  "journal": "Phys.Lett. A232 (1997) 333",
  "doi": "10.1016/S0375-9601(97)00416-7",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is shown that any separable state on Hilbert space ${\\cal H}={\\cal H}_1\\otimes{\\cal H}_2$, can be written as a convex combination of N pure product states with $N\\leq (dim{\\cal H})^2$. Then a new separability criterion for mixed states in terms of range of density matrix is obtained. It is used in construction of inseparable mixed states with positive partial transposition in the case of $3\\times 3$ and $2\\times 4$ systems. The states represent an entanglement which is hidden in a more subtle way than it has been known so far.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-05-23T13:50:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive partial transposition",
      "inseparable mixed states",
      "separability criterion",
      "pure product states",
      "subtle way"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 440885
    }
  }
}