论文标题

基于动态不变的自动量子门:理论和实验

Dynamical-Invariant-based Holonomic Quantum Gates: Theory and Experiment

论文作者

Li, Yingcheng, Xin, Tao, Qiu, Chudan, Li, Keren, Liu, Gangqin, Li, Jun, Wan, Yidun, Lu, Dawei

论文摘要

在现有的载体量子计算方法中,绝热的全能量子门(HQGS)由于反谐波而遭受错误,而非绝热HQG则需要额外的Hilbert空间或难以扩展。在这里,我们报告了一种基于动态不变的系统,可扩展的方法,以实现HQG,而无需使用其他希尔伯特空间。在介绍方法的理论框架时,我们设计和实验评估了核磁共振系统的单量和双Qubits HQG。单量大门通过随机基准测试获得平均忠诚度为0.9972,并且受控门通过量子过程断层扫描获得0.9782。我们的方法也是与平台无关的,因此可能为大规模全体量子计算打开了一种方法。

Among existing approaches to holonomic quantum computing, the adiabatic holonomic quantum gates (HQGs) suffer errors due to decoherence, while the non-adiabatic HQGs either require additional Hilbert spaces or are difficult to scale. Here, we report a systematic, scalable approach based on dynamical invariants to realize HQGs without using additional Hilbert spaces. While presenting the theoretical framework of our approach, we design and experimentally evaluate single-qubit and two-qubits HQGs for the nuclear magnetic resonance system. The single-qubit gates acquire average fidelity 0.9972 by randomized benchmarking, and the controlled-NOT gate acquires fidelity 0.9782 by quantum process tomography. Our approach is also platform-independent, and thus may open a way to large-scale holonomic quantum computation.

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