{
  "id": "2311.04560",
  "version": "v1",
  "published": "2023-11-08T09:45:05.000Z",
  "updated": "2023-11-08T09:45:05.000Z",
  "title": "Fast generation of GHZ-like states using collective-spin XYZ model",
  "authors": [
    "Xuanchen Zhang",
    "Zhiyao Hu",
    "Yong-Chun Liu"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "Greenberger-Horne-Zeilinger (GHZ) state is a key resource for quantum information processing and quantum metrology. Atomic GHZ state can be generated by one-axis twisting (OAT) interaction $H_{\\mathrm{OAT}}=\\chi J_{z}^{2}$ with $\\chi $ the interaction strength, but it requires a long evolution time $\\chi t=\\pi /2$ and is thus seriously influenced by decoherence and losses. Here we propose a three-body collective-spin XYZ model which creates GHZ-like state in a very short time scale $\\chi t\\sim \\ln {N}/N$ for $N$ particles. We show that this model can be effectively produced by applying Floquet driving to an original OAT Hamiltonian. Compared with the ideal GHZ state, the GHZ-like state generated using our model can maintain similar metrological properties reaching the Heisenberg-limited scaling, and it shows better robustness to decoherence and particle losses. This work opens the avenue for generating GHZ-like states with large particle number, which holds great potential for the study of macroscopic quantum effects and for applications in quantum metrology and quantum information.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-08T09:45:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ghz-like state",
      "fast generation",
      "similar metrological properties reaching",
      "three-body collective-spin xyz model",
      "quantum metrology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}