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

• URL: http://arxiv.org/abs/2003.09848v2
• Date: Tue, 14 Apr 2020 06:56:34 GMT
• Title: Dynamical-Invariant-based Holonomic Quantum Gates: Theory and Experiment
• Authors: Yingcheng Li, Tao Xin, Chudan Qiu, Keren Li, Gangqin Liu, Jun Li, Yidun Wan, Dawei Lu
• Abstract summary: Adiabatic holonomic quantum gates (HQGs) suffer errors due to decoherence, while the non-adiabatic HQGs 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.
• Score: 4.993837650693475
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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