{
  "id": "2210.01854",
  "version": "v1",
  "published": "2022-10-04T18:48:30.000Z",
  "updated": "2022-10-04T18:48:30.000Z",
  "title": "Sudden Death of Genuine Tripartite Entanglement",
  "authors": [
    "Songbo Xie",
    "Daniel Younis",
    "Joseph H. Eberly"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Entanglement sudden death (ESD) is a dynamical physical process [Yu and Eberly, Science 323, 598 (2009)]. It occurs when entanglement is able to vanish abruptly, i.e., with a discontinuous slope as a function of time, even though the entangled qubits themselves evolve steadily and analytically. Two-qubit ESD has been well-described and multiply observed, but it remains a mystery. That is, it has not been possible to identify any initial condition under which a state's dynamics can be confidently predicted to evolve to ESD. This challenge has been frustrated by the lack of a quantitative measure of genuine entanglement even for pure-state systems as small as three qubits. Now, with the help of a newly discovered three-qubit measure [Xie and Eberly, Phys. Rev. Lett 127, 040403 (2021)], and by bringing convex-roof construction and Legendre transforms into play, we are able to describe the mixed-state ESD dynamics of a three-qubit system. An unexpected bonus of this advance is the identification of a condition under which ESD can reliably be anticipated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-04T18:48:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "genuine tripartite entanglement",
      "entanglement sudden death",
      "mixed-state esd dynamics",
      "three-qubit system",
      "legendre transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}