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arXiv · 2204.02555

Approximate quantum gates compiling with self-navigation algorithm

Run-Hong He·Ren-Feng Hua·Arapat Ablimit·Zhao-Ming Wang
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Abstract

The compiling of quantum gates is crucial for the successful quantum algorithm implementations. The environmental noise as well as the bandwidth of control pulses pose a challenge to precise and fast qubit control, especially in a weakly anharmonic system. In this work, we propose an algorithm to approximately compile single-qubit gates with arbitrary accuracy. Evaluation results show that the overall rotation distance generated by our algorithm is significantly shorter than the commonly used $U3$ gate, then the gate time can be effectively shortened. The requisite number of pulses and the runtime of scheme design scale up as $\mathcal{O}[\mathrm{Log}(1/\epsilon)]$ with very small prefactors, indicating low overhead costs. Moreover, we explore the trade-off between effectiveness and cost, and find a balance point. In short, our work opens a new avenue for efficient quantum algorithm implementations with contemporary quantum technology.

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Run-Hong He, Ren-Feng Hua, Arapat Ablimit, Zhao-Ming Wang. 2022-04-06. Approximate quantum gates compiling with self-navigation algorithm. https://doi.org/10.1007/s11128-023-04125-8

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