Fast Generation of GHZ-like States Using Collective-Spin XYZ Model

Abstract

The Greenberger-Horne-Zeilinger (GHZ) state is a key resource for quantum information processing and quantum metrology. The 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 a GHZ-like state in a very short timescale $\chi t\sim \ln N/N$ 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 a large particle number, which holds great potential for the study of macroscopic quantum effects and for applications in quantum metrology and quantum information.

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• Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
• Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
• Quantum Metrology via Floquet-Engineered Two-axis Twisting and Turn Dynamics
• Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
• Coherent Generation and Protection of Anticoherent Spin States
• Generating large-scale Greenberger-Horne-Zeilinger-like states in lattice spin systems
• Phonon-induced two-axis spin squeezing with decoherence reduction in hybrid spin-optomechanical system