{
  "annotation_id": "406a73bd-2e50-46bb-aee5-ea6eb9f77f08",
  "date_created": "2026-03-02T18:02:23.831000Z",
  "date_modified": "2026-03-02T18:02:23.831000Z",
  "file_hash": "3d52ef9c4061200c246b56a1abf3826175f5f02a1449e37b5326fb62eb0045d2",
  "private": false,
  "record": {
    "abstract": "The main goal of this paper is to provide a connection between the\ngeneralized robustness of entanglement ($R_g$) and the geometric measure of\nentanglement ($E_{GME}$). First, we show that the generalized robustness is\nalways higher than or equal to the geometric measure. Then we find a tighter\nlower bound to $R_g(\\rho)$ based only on the purity of $\\rho$ and its maximal\noverlap to a separable state. As we will see it is also possible to express\nthis lower bound in terms of $E_{GME}$.",
    "arxiv_id": "quant-ph/0602031",
    "authors": [
      "Daniel Cavalcanti"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.044302",
    "journal_ref": "Phys. Rev. A 73, 044302 (2006)",
    "title": "Connecting the generalized robustness and the geometric measure of   entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0602031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "307558f6-a43b-4122-b9e1-20e457dfb9cb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}