General quantum computation on acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble

In this paper, we propose a system that consists of two acoustic wave resonators (AWRs) coupled to a nitrogen-vacancy-center ensemble (NVE) for constructing Greenberger–Horne–Zeilinger (GHZ) states and controlled-phase (c-phase) gate according to the recent study of surface acoustic waves. The two AWRs are fabricated on a diamond surface in perpendicular way, and the NVE is placed at the center of the crossing. By using the resonant interactions and microwave pulses, we present the protocols of constructing the GHZ states and the c-phase gate in the phonon–spin system. The numerical simulation shows that the fidelities of the two-excitation Bell state, three-excitation Bell state and the c-phase gate can reach 99.19[Formula: see text], 99.46[Formula: see text] and 98.62[Formula: see text], respectively, by considering the decoherence of the system.