Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
Yang Dong, Shao-Chun Zhang, Yu Zheng, Hao-Bin Lin, Long-Kun Shan,, Xiang-Dong Chen, Wei Zhu, Guan-Zhong Wang, Guang-Can Guo, and Fang-Wen Sun

TL;DR
This paper demonstrates the experimental realization of high-fidelity, noise-robust holonomic quantum gates on solid-state spins at room temperature, advancing scalable geometric quantum computing.
Contribution
It presents the first experimental implementation of nonadiabatic holonomic quantum computation with improved fidelities on solid spins, showing robustness against decoherence and control errors.
Findings
Achieved high-fidelity single-qubit and two-qubit gates
Enhanced robustness against decoherence and control errors
Progress towards fault-tolerant scalable quantum computation
Abstract
Experimental realization of a universal set of quantum logic gates with high-fidelity is critical to quantum information processing, which is always challenging by inevitable interaction between the quantum system and environment. Geometric quantum computation is noise immune, and thus offers a robust way to enhance the control fidelity. Here, we experimentally implement the recently proposed extensible nonadiabatic holonomic quantum computation with solid spins in diamond at room-temperature, which maintains both flexibility and resilience against decoherence and system control errors. Compared with previous geometric method, the fidelities of a universal set of holonomic single-qubit and two-qubit quantum logic gates are improved in experiment. Therefore, this work makes an important step towards fault-tolerant scalable geometric quantum computation in realistic systems.
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