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

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

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...

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Hauptverfasser: Li, Yingcheng, Xin, Tao, Qiu, Chudan, Li, Keren, Liu, Gangqin, Li, Jun, Wan, Yidun, Lu, Dawei
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Xin, Tao
Qiu, Chudan
Li, Keren
Liu, Gangqin
Li, Jun
Wan, Yidun
Lu, Dawei
description 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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title Dynamical-Invariant-based Holonomic Quantum Gates: Theory and Experiment
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