{
  "id": "1406.7118",
  "version": "v2",
  "published": "2014-06-27T09:06:44.000Z",
  "updated": "2014-08-21T08:24:13.000Z",
  "title": "Separability and entanglement of spin $1$ particle",
  "authors": [
    "V. I. Man'ko",
    "L. A. Markovich"
  ],
  "comment": "10 pages, 3 figures, submitted to Journal of Quantum Information & Computation",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We define the separability and entanglement notion for particle with spin $s=1$. We consider two cases. In the first the particle is composed of two fermions with $s_1=1/2$ and $s_2=1/2$. In the second case the state is the qutrit state which is not composed system. The notion of negativity and concurrence is defined for the qutrit state. The concurrence and negativity of entangled and separable qutrit states determined by the parameters of the density matrix are explicitly calculated. The maximum entanglement of the qutrit state is observed for maximum values of non diagonal matrix elements of the density matrix. New entropic inequalities for the density matrix of the qutrit state are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-27T09:06:44.000Z",
      "title": "Separability and entanglement of spin $1$ particle composed from two spin $1/2$ particles",
      "abstract": "We define the separability and entanglement notion for particle with spin $s=1$. The particle is composed from two fermions with $s_1=1/2$ and $s_2=1/2$. New entropic inequalities for the density matrix of the qutrit state are obtained. The notion of negativity and concurrence was obtained for the latter system.",
      "comment": "7 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-21T08:24:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "separability",
      "qutrit state",
      "entanglement notion",
      "density matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.7118M"
    }
  }
}