{
  "id": "quant-ph/9604005",
  "version": "v2",
  "published": "1996-04-08T08:37:37.000Z",
  "updated": "1996-06-17T11:48:03.000Z",
  "title": "Separability Criterion for Density Matrices",
  "authors": [
    "Asher Peres"
  ],
  "comment": "6 pages LaTeX, contains a simplified derivation and two new examples",
  "journal": "Phys.Rev.Lett.77:1413-1415,1996",
  "doi": "10.1103/PhysRevLett.77.1413",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A quantum system consisting of two subsystems is separable if its density matrix can be written as $\\rho=\\sum_A w_A\\,\\rho_A'\\otimes\\rho_A''$, where $\\rho_A'$ and $\\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1996-06-17T11:48:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "density matrices",
      "separability criterion",
      "bells inequality",
      "necessary condition",
      "partial transposition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 417447
    }
  }
}