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Pulse–qubit interaction in a superconducting circuit under linearly dissipative environment

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Abstract

Microwave pulses are used ubiquitously to control and measure qubits fabricated on superconducting circuits. Due to continual environmental coupling, qubits undergo decoherence either when it is free or when it is coupled to an incident pulse. We study theoretically the decoherence-induced effects when a qubit is subject to the driving of time-dependent pulses, which can accomplish geometric logic gating, under a dissipative environment with linear spectral distribution. We find that a transmissible pulse of finite width adopts an asymmetric multi-hump shape, due to the imbalanced pumping and emitting rates of the qubit during inversion when the environment is present. The pulse shape reduces to a solitonic pulse at vanishing dissipation and a pulse train at strong dissipation. We give detailed analysis of the environmental origin from both the perspectives of envelope and phase of the propagating pulse.

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Acknowledgements

Y.-B. Gao acknowledges the support of the National Natural Science Foundation of China under Grant No. 11674017. H. I. acknowledges the support by FDCT of Macau under Grants 065/2016/A2 and 0130/2019/A3, University of Macau under Grant MYRG2018-00088-IAPME, and National Natural Science Foundation of China under Grant No. 11404415.

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Authors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, Beijing, China

    Yibo Gao & Shijie Jin

  2. Institute of Applied Physics and Materials Engineering, University of Macau, Macau, China

    Yan Zhang & Hou Ian

  3. Zhuhai UM Science and Technology Research Institute, Zhuhai, Guangdong, China

    Hou Ian

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  1. Yibo Gao
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  2. Shijie Jin
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  3. Yan Zhang
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  4. Hou Ian
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Correspondence to Hou Ian.

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Gao, Y., Jin, S., Zhang, Y. et al. Pulse–qubit interaction in a superconducting circuit under linearly dissipative environment. Quantum Inf Process 19, 313 (2020). https://doi.org/10.1007/s11128-020-02814-2

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