{
  "id": "1805.11292",
  "version": "v1",
  "published": "2018-05-29T08:17:53.000Z",
  "updated": "2018-05-29T08:17:53.000Z",
  "title": "Geometry of quantum state space and entanglement",
  "authors": [
    "Pratapaditya Bej",
    "Prasenjit Deb"
  ],
  "comment": "6 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Recently, an explicit relation between a measure of entanglement and a geometric entity has been reported in Quantum Inf. Process. (2016) 15:1629-1638. It has been shown that if a qubit gets entangled with another ancillary qubit then negativity, up to a constant factor, is equal to square root of a specific Riemannian metric defined on the metric space corresponding to the state space of the qubit. In this article, we consider the different class of bi-partite entangled states and show explicit relation between two measures of entanglement and Riemannian metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-29T08:17:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum state space",
      "entanglement",
      "explicit relation",
      "specific riemannian metric",
      "bi-partite entangled states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}