{
  "annotation_id": "9bf3b7d8-b53e-42d2-8686-b0805d961de6",
  "date_created": "2026-03-02T18:02:34.107000Z",
  "date_modified": "2026-03-02T18:02:34.107000Z",
  "file_hash": "130ca1fe74612a887faf9b77d3a538dd4a76aea067247e1fb78aece8e19fb7f4",
  "private": false,
  "record": {
    "abstract": "We propose that the entanglement of mixed states is characterised properly in\nterms of a probability density function $\\mathcal{P}(\\mathcal{E})$. There is a\nneed for such a measure since the prevalent measures (such as\n\\textit{concurrence} and \\textit{negativity}) are rough benchmarks, and not\nmonotones of each other. Considering the specific case of two qubit mixed\nstates, we provide an explicit construction of $\\mathcal{P}(\\mathcal{E})$ and\nshow that it is characterised by a set of parameters, of which concurrence is\nbut one particular combination. $\\mathcal{P}(\\mathcal{E})$ is manifestly\ninvariant under $SU(2) \\times SU(2)$ transformations. It can, in fact,\nreconstruct the state up to local operations\n  - with the specification of at most four additional parameters. Finally the\nnew measure resolves the controversy regarding the role of entanglement in\nquantum computation in NMR systems.",
    "arxiv_id": "quant-ph/0703017",
    "authors": [
      "Shanthanu Bhardwaj",
      "V. Ravishankar"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th"
    ],
    "title": "A complete characterization of mixed state entanglement using   probability density functions",
    "url": "https://arxiv.org/abs/quant-ph/0703017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb27be96-029e-4497-a89b-93d4a59f768f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}