101. Dynamical-invariant-based holonomic quantum gates: Theory and experiment
- Author
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Yingcheng Li, Tao Xin, Chudan Qiu, Keren Li, Gangqin Liu, Jun Li, Yidun Wan, and Dawei Lu
- Subjects
Geometric gates ,Dynamical invariant ,Nuclear magnetic resonance ,Holonomic gates ,Platform-independent ,Science (General) ,Q1-390 - Abstract
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.
- Published
- 2023
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