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Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms |
Shuai Liu1,2, Jun-Hui Shen3,1( ), Ri-Hua Zheng1,2, Yi-Hao Kang1,2, Zhi-Cheng Shi1,2, Jie Song4, Yan Xia1,2 |
1. Fujian Key Laboratory of Quantum Information and Quantum Optics (Fuzhou University), Fuzhou 350116, China
2. Department of Physics, Fuzhou University, Fuzhou 350116, China
3. School of Rail Transportation, Fujian Chuanzheng Communications College, Fuzhou 350007, China
4. Department of Physics, Harbin Institute of Technology, Harbin 150001, China |
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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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| Keywords
nonadiabatic holonomic quantum computation
reverse engineering
Förster resonance
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Corresponding Author(s):
Jun-Hui Shen,Yan Xia
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Issue Date: 30 August 2021
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