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Nonadiabatic geometric quantum computation with optimal control on superconducting circuits

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Abstract

Quantum gates, which are the essential building blocks of quantum computers, are very fragile. Thus, to realize robust quantum gates with high fidelity is the ultimate goal of quantum manipulation. Here, we propose a nonadiabatic geometric quantum computation scheme on superconducting circuits to engineer arbitrary quantum gates, which share both the robust merit of geometric phases and the capacity to combine with optimal control technique to further enhance the gate robustness. Specifically, in our proposal, arbitrary geometric single-qubit gates can be realized on a transmon qubit, by a resonant microwave field driving, with both the amplitude and phase of the driving being time-dependent. Meanwhile, nontrivial two-qubit geometric gates can be implemented by two capacitively coupled transmon qubits, with one of the transmon qubits’ frequency being modulated to obtain effective resonant coupling between them. Therefore, our scheme provides a promising step towards fault-tolerant solid-state quantum computation.

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  1. These authors contributed equally to this work.

Authors and Affiliations

  1. Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, China

    Jing Xu, Sai Li, Tao Chen & Zheng-Yuan Xue

  2. Frontier Research Institute for Physics, South China Normal University, Guangzhou, 510006, China

    Zheng-Yuan Xue

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  1. Jing Xu
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  2. Sai Li
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  3. Tao Chen
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  4. Zheng-Yuan Xue
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Correspondence to Zheng-Yuan Xue.

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Xu, J., Li, S., Chen, T. et al. Nonadiabatic geometric quantum computation with optimal control on superconducting circuits. Front. Phys. 15, 41503 (2020). https://doi.org/10.1007/s11467-020-0976-2

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  • DOI: https://doi.org/10.1007/s11467-020-0976-2

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