Diamond quantum processors consisting of a nitrogen-vacancy (NV) centre and surrounding nuclear spins have been the key to significant advancements in room-temperature quantum computing, quantum sensing and microscopy. The optimisation of these processors is crucial for the development of large-scale diamond quantum computers and the next generation of enhanced quantum sensors and microscopes. Here, we present a full model of multi-qubit diamond quantum processors and develop a semi-analytical method for designing gate pulses. This method optimises gate speed and fidelity in the presence of random control errors and is readily compatible with feedback optimisation routines. We theoretically demonstrate infidelities approaching $\sim 10^{-5}$ for single-qubit gates and established evidence that this can also be achieved for a two-qubit CZ gate. Consequently, our method reduces the effects of control errors below the errors introduced by hyperfine field misalignment and the unavoidable decoherence that is intrinsic to the processors. Having developed this optimal control, we simulated the performance of a diamond quantum processor by computing quantum Fourier transforms. We find that the simulated diamond quantum processor is able to achieve fast operations with low error probability.

中文翻译：

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金刚石量子处理器的优化

由氮空位 (NV) 中心和周围核自旋组成的金刚石量子处理器一直是室温量子计算、量子传感和显微技术取得重大进展的关键。这些处理器的优化对于大型金刚石量子计算机和下一代增强型量子传感器和显微镜的开发至关重要。在这里，我们展示了多量子位金刚石量子处理器的完整模型，并开发了一种用于设计门脉冲的半解析方法。这种方法在存在随机控制误差的情况下优化了门速度和保真度，并且很容易与反馈优化程序兼容。我们在理论上证明了单量子位门的不忠接近 $\sim 10^{-5}$，并建立了证据表明这也可以在双量子位 CZ 门上实现。因此，我们的方法将控制误差的影响降低到由超精细场未对准和处理器固有的不可避免的退相干引入的误差以下。在开发了这种最优控制之后，我们通过计算量子傅立叶变换来模拟金刚石量子处理器的性能。我们发现模拟金刚石量子处理器能够以低错误概率实现快速操作。