Fast generation of GHZ-like states using collective-spin XYZ model

Xuanchen Zhang, Zhiyao Hu, Yong-Chun Liu

Published 2023-11-08Version 1

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.