Reverse engineering of high-fidelity nonadiabatic holonomic quantum gates in the ensemble-ions system

Hong Peng; JiaMin Qiu; Ying Yan

doi:10.1117/12.2652041

23 January 2023 Reverse engineering of high-fidelity nonadiabatic holonomic quantum gates in the ensemble-ions system

Hong Peng, JiaMin Qiu, Ying Yan

Proceedings Volume 12557, AOPC 2022: Optical Sensing, Imaging, and Display Technology; 125572X (2023) https://doi.org/10.1117/12.2652041
Event: Applied Optics and Photonics China 2022 (AOPC2022), 2022, Beijing, China

Abstract

We proposed a theoretical protocol to generate robust pulses for executing an arbitrary nonadiabatic holonomic quantum gate operations via reverse engineering. Compared with the traditional scheme that the pulse area needs to satisfy the condition 0 Ω dt = π, the reverse engineering scheme no longer requires this constraint, which greatly improves the flexibility of pulse designing. By optimizing the envelope of the pulses, we show that the gate operations are more robust against the frequency detuning than the traditional scheme. In the meanwhile, we also improve the robustness of the pulse against Rabi frequency fluctuations by utilizing the perturbation theory. The robust pulses can be applied to other ensemble qubit systems to realize quantum error correction, qubit initialization, and quantum gate operations, such as ensemble nitrogen-vacancy center systems, superconducting qubit systems, and other systems where qubits are addressed in frequency.

Citation Download Citation

Hong Peng, JiaMin Qiu, and Ying Yan "Reverse engineering of high-fidelity nonadiabatic holonomic quantum gates in the ensemble-ions system", Proc. SPIE 12557, AOPC 2022: Optical Sensing, Imaging, and Display Technology, 125572X (23 January 2023); https://doi.org/10.1117/12.2652041

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