{
  "id": "quant-ph/0112007",
  "version": "v3",
  "published": "2001-12-01T22:05:01.000Z",
  "updated": "2002-04-02T21:23:07.000Z",
  "title": "Distinguishing separable and entangled states",
  "authors": [
    "Andrew C. Doherty",
    "Pablo A. Parrilo",
    "Federico M. Spedalieri"
  ],
  "comment": "4 pages, Latex2e. Expanded discussion of numerical procedures. Accepted for publication in Physical Review Letters",
  "journal": "Physical Review Letters, Vol. 88, No. 18, 187904, 2002.",
  "doi": "10.1103/PhysRevLett.88.187904",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show how to design families of operational criteria that distinguish entangled from separable quantum states. The simplest of these tests corresponds to the well-known Peres-Horodecki positive partial transpose (PPT) criterion, and the more complicated tests are strictly stronger. The new criteria are tractable due to powerful computational and theoretical methods for the class of convex optimization problems known as semidefinite programs. We successfully applied the results to many low-dimensional states from the literature where the PPT test fails. As a byproduct of the criteria, we provide an explicit construction of the corresponding entanglement witnesses.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-04-02T21:23:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entangled states",
      "distinguishing separable",
      "well-known peres-horodecki positive partial transpose",
      "convex optimization problems",
      "ppt test fails"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}