Multiple-Noise-Resilient Nonadiabatic Geometric Quantum Control of Solid-State Spins in Diamond

TL;DR

This paper introduces a robust, noise-resilient nonadiabatic geometric quantum gate for diamond NV centers, significantly enhancing coherence and fidelity under multiple noise conditions, advancing practical quantum information processing.

Contribution

It presents an experimentally feasible, noise-resilient quantum gate that maintains high fidelity and coherence in NV centers despite multiple noise sources, surpassing traditional dynamical gates.

Findings

Gate fidelity reaches 0.9992 with quantum process tomography.

Coherence time extended to 690 microseconds, 3.5 times longer than naive methods.

Performance remains stable even with large detuning fluctuations.

Abstract

Reliable and robust control lies at the core of implementing quantum information processing with diamond nitrogen-vacancy (NV) centers. However, control pulses inevitably introduce multiple errors, leading to decoherence and hindering scalable applications. Here, we experimentally report an experiment-friendly multiple-noise-resilient nonadiabatic geometric quantum gate~(MNR-NGQG) that can significantly improve conventional dynamical gate in both robustness and coherence. Notably, even when the detuning fluctuation range is comparable to the maximum Rabi frequency, the single-qubit gate performance of the MNR-NGQG remains almost unchanged. Besides, the coherence time of the electron spin is significantly extended to 690 $\pm$ 30 $ \mu$s, 3.5 times that of the naive dynamical counterpart. As a result, the fidelity of single-qubit gates reaches 0.9992(1), as characterized by quantum process tomography. With its experimentally feasible design and relaxed hardware requirements, our work offers a solid paradigm for achieving high-fidelity quantum control in NV center system, paving the way for practical applications in quantum information science.