{
  "id": "2007.06305",
  "version": "v1",
  "published": "2020-07-13T10:58:03.000Z",
  "updated": "2020-07-13T10:58:03.000Z",
  "title": "Mixed-state entanglement from local randomized measurements",
  "authors": [
    "Andreas Elben",
    "Richard Kueng",
    "Hsin-Yuan Huang",
    "Rick van Bijnen",
    "Christian Kokail",
    "Marcello Dalmonte",
    "Pasquale Calabrese",
    "Barbara Kraus",
    "John Preskill",
    "Peter Zoller",
    "Benoît Vermersch"
  ],
  "comment": "5+10 pages, 6 figures",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by post-processing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al, Science 364, 260 (2019)].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-13T10:58:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local randomized measurements",
      "mixed-state entanglement",
      "performing local random measurements",
      "detecting bipartite entanglement",
      "existing experimental data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}