Ai Ming-Zhong, Li Sai, He Ran, Xue Zheng-Yuan, Cui Jin-Ming, Huang Yun-Feng, Li Chuan-Feng, Guo Guang-Can
CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China.
CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China.
Fundam Res. 2021 Dec 22;2(5):661-666. doi: 10.1016/j.fmre.2021.11.031. eCollection 2022 Sep.
For circuit-based quantum computation, experimental implementation of a universal set of quantum logic gates with high-fidelity and strong robustness is essential and central. Quantum gates induced by geometric phases, which depend only on global properties of the evolution paths, have built-in noise-resilience features. Here, we propose and experimentally demonstrate nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped ion based on four-level systems with resonant drives. We confirm the implementation with measured gate fidelity through both quantum process tomography and randomized benchmarking methods. Meanwhile, we find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies. Compared with previous implementations, our experiments share both the advantages of fast nonadiabatic evolution and robustness against systematic errors. Therefore, our experiments confirm a promising method for fast and robust holonomic quantum computation.
对于基于电路的量子计算而言，实验实现一套具有高保真度和强鲁棒性的通用量子逻辑门至关重要且处于核心地位。由几何相位诱导的量子门仅取决于演化路径的全局性质，具有内置的抗噪声特性。在此，我们基于具有共振驱动的四能级系统，在囚禁离子的两条暗路径上提出并通过实验演示了非绝热几何单比特量子门。我们通过量子过程层析成像和随机基准测试方法，利用测量的门保真度来确认实现情况。同时，我们发现非平凡的几何两比特量子门也能够在当前实验技术范围内得以实现。与先前的实现方式相比，我们的实验兼具快速非绝热演化和抗系统误差的鲁棒性这两个优点。因此，我们的实验证实了一种用于快速且鲁棒的几何量子计算的有前景的方法。
