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Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

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Abstract

In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with Rydberg atoms.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575045, 11874114, and 11674060, the Natural Science Funds for Distinguished Young Scholar of Fujian Province under Grant 2020J06011 and Project from Fuzhou University under Grant JG202001-2.

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Authors and Affiliations

  1. Fujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University, Fuzhou, 350116, China

    Shuai Liu, Jun-Hui Shen, Ri-Hua Zheng, Yi-Hao Kang, Zhi-Cheng Shi & Yan Xia

  2. Department of Physics, Fuzhou University, Fuzhou, 350116, China

    Shuai Liu, Ri-Hua Zheng, Yi-Hao Kang, Zhi-Cheng Shi & Yan Xia

  3. School of Rail Transportation, Fujian Chuanzheng Communications College, Fuzhou, 350007, China

    Jun-Hui Shen

  4. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Jie Song

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  1. Shuai Liu
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arXiv: 2107.14486. This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467-021-1108-3.

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Liu, S., Shen, JH., Zheng, RH. et al. Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms. Front. Phys. 17, 21502 (2022). https://doi.org/10.1007/s11467-021-1108-3

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