We study the generation of entanglement and the realization of controlled quantum phase gates in hybrid quantum systems. Based on the researches on acoustic wave resonators (AWRs) in recent years, we propose a hybrid system which consists of two high quality-factor AWRs, two ensembles of nitrogen-vacancy-centers (NVEs), and a superconducting resonator used to interact two NVEs. Utilizing this hybrid system we present detailed schemes to produce entangled states and carry out controlled-phase gates on two distant AWRs. The numerical simulation shows that from our protocols the fidelities of the entangled states and the controlled-phase gates can reach 99.19 % and 98.56 %, respectively, by taking into account the dissipation and dephasing of the whole system.

我们研究纠缠的产生和混合量子系统中受控量子相位门的实现。基于近年来对声波谐振器 (AWR) 的研究，我们提出了一种混合系统，该系统由两个高品质因数的 AWR、两个氮空位中心 (NVE) 集合和一个用于相互作用的超导谐振器组成。 NVE。利用这个混合系统，我们提出了在两个远距离 AWR 上产生纠缠态和执行受控相位门的详细方案。数值模拟表明，从我们的协议中，通过考虑整个系统的耗散和去相位，纠缠态和受控相位门的保真度可以分别达到 99.19% 和 98.56%。