Abstract Trapped ion hardware has made significant progress recently and is now one of the leading platforms for quantum computing. To construct two-qubit gates in trapped ions, experimental manipulation approaches for ion chains are becoming increasingly prevalent. Given the restricted control technology, how implementing high-fidelity quantum gate operations is crucial. Many works in current pulse design optimization focus on ion-phonon and effective ion-ion couplings while ignoring the first-order derivative terms expansion impacts of these two terms brought on by experiment defects. This paper proposes a novel robust quantum control optimization method in trapped ions. By introducing the first-order derivative terms caused by the error into the optimization cost function, we generate an extremely robust Mølmer-Sørensen gate with infidelity below under a drift noise range of kHz, the relative robustness achieves a tolerance of ±5%, compared to the 200-kHz frequency spacing between phonon modes, and for time noise drift, the tolerance reached to 2%. Our work reveals the vital role of the first-order derivative terms of coupling in trapped ion pulse control optimization, especially the first-order derivative terms of ion-ion coupling. It provides a robust optimization scheme for realizing more efficient entangled states in trapped ion platforms.
Corresponding Authors:
Jing-Bo Wang
E-mail: wangjb@baqis.ac.cn
Cite this article:
Jing-Bo Wang(汪景波) Robust quantum gate optimization with first-order derivatives of ion–phonon and ion–ion couplings in trapped ions 2025 Chin. Phys. B 34 040302
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