We propose a scheme to construct a controlled phase gate on two distant nitrogen-vacancy centers (NV-centers) assisted by a quantized nanomechanical cantilevel resonator (NAMR). Unlike the previous work to complete the gate in the dispersive regime to let NV-centers detune with the NAMR largely, our gate is completed by using resonant operations between NV-centers and the NAMR, and single-qubit operations on the NV-center, which let the gate to be achieved within a short time with a high fidelity. To study the performance of the gate for universal quantum computation, we simulate a two-qubit Grover’s search algorithm on the NV-centers with a fidelity of \(98.46\%\).

中文翻译：

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NAMR辅助的两个遥距NV中心的受控相控门和Grover搜索算法

我们提出了一种在两个遥远的氮空位中心（NV中心）上通过量化的纳米机械悬臂共振器（NAMR）构造受控相控门的方案。与先前在色散状态下完成门控以使NV中心在很大程度上与NAMR失谐的工作不同，我们的门控是通过使用NV中心与NAMR之间的谐振操作以及NV中心上的单量子位操作来完成的，从而可以在短时间内以高保真度实现门。为了研究通用量子计算的门性能，我们在NV中心上模拟了一个二量子位的Grover搜索算法，保真度为\（98.46 \％\）。