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Approximate quantum gates compilation for superconducting transmon qubits with self-navigation algorithm

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Abstract

Precise and fast qubit control is crucial when compiling quantum gates for successful implementation of quantum algorithms. However, the presence of environmental noise and the nonzero bandwidth of control pulses pose challenges for the effective control, particularly for weakly anharmonic systems such as superconducting transmon qubits. To address these problems, in this work we propose a self-navigation algorithm to approximately compile single-qubit gates with high accuracy in the context of transmon qubit. By utilizing this algorithm, the overall rotation distance for the target gate operation is significantly shorter than that of the commonly used U3 gate technique. As a result, a shorter gate time can be obtained. The necessary number of pulses and the runtime of scheme designing scale up as \(\mathcal {O}[\textrm{Log}(1/\epsilon )]\) with a small prefactor, indicating a low overhead cost. Moreover, we investigate the trade-off between effectiveness and cost, and a balance point is identified. Our results demonstrate a reduction in both gate time and noise effects, but without an increase in leakage. Our work opens up a new avenue for efficient quantum algorithm implementations with contemporary superconducting quantum technology.

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Data and code availability

The code, running environment of algorithm and all data presented in this paper are available from the corresponding author upon reasonable request or from Gitee in (https://gitee.com/mindspore/mindquantum/tree/research/paper_with_code).

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Acknowledgements

This work was supported by the Natural Science Foundation of Shandong Province (Grant No. ZR2021LLZ004), and Fundamental Research Funds for the Central Universities (Grant No. 202364008) and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 62002349). Run-Hong He would also like to thank **ang-Han Liang, Sheng-Bin Wang, Zhi-Min Wang, and Guo-Long Cui for fruitful discussions.

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Authors and Affiliations

  1. College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao, 266100, China

    Run-Hong He, Yang-Yang **e, Arapat Ablimit & Zhao-Ming Wang

  2. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, China

    Feng-Hua Ren

  3. State Key Laboratory of Computer Science, Institute of Software Chinese Academy of Science, Bei**g, 101408, China

    Run-Hong He

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  1. Run-Hong He
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He, RH., Ren, FH., **e, YY. et al. Approximate quantum gates compilation for superconducting transmon qubits with self-navigation algorithm. Quantum Inf Process 22, 367 (2023). https://doi.org/10.1007/s11128-023-04125-8

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