The realization of universal quantum logical gates on nonlocal nitrogen-vacancy center ensembles (NVEs) is a basic task for universal quantum computing with NVEs. In contrast to previous works on the construction of gates, a one-step all-resonance scheme is proposed to construct a controlled-phase gate on two nonlocal NVEs that are coupled to different superconducting transmission line resonators connected by a superconducting transmon qubit. The gate can be easily realized using only one step. Moreover, the all-resonance operation allows the gate to be achieved within a short time. By considering the feasible parameters obtained in the experiments, this gate can be completed within 101 ns with a high fidelity of approximately 97.8%, which has reached the threshold of fault-tolerance quantum computing.

中文翻译：

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超导量子电路辅助的两个非局域氮空位中心系综上的全谐振控相门

在非局部氮空位中心集合 (NVE) 上实现通用量子逻辑门是使用 NVE 进行通用量子计算的一项基本任务。与之前构建门的工作相比，提出了一种一步全谐振方案，在两个非局部 NVE 上构建受控相位门，这些 NVE 耦合到不同的超导传输线谐振器，这些谐振器由超导传输量子位连接。只需一步即可轻松实现浇口。此外，全谐振操作允许在短时间内实现栅极。通过考虑实验中获得的可行参数，该门可以在101 ns内完成，保真度约为97.8%，达到了容错量子计算的阈值。