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arXiv · 2307.09900

Universal quantum gates by nonadiabatic holonomic evolution for the surface electron

Jun Wang·Wan-Ting He·Hai-Bo Wang·Qing Ai
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Abstract

The nonadiabatic holonomic quantum computation based on the geometric phase is robust against the built-in noise and decoherence. In this work, we theoretically propose a scheme to realize nonadiabatic holonomic quantum gates in a surface electron system, which is a promising two-dimensional platform for quantum computation. The holonomic gate is realized by a three-level structure that combines the Rydberg states and spin states via an inhomogeneous magnetic field. After a cyclic evolution, the computation bases pick up different geometric phases and thus perform a geometric gate. Only the electron with spin up experiences the geometric gate, while the electron with spin down is decoupled from the state-selective driving fields. The arbitrary controlled-U gate encoded on the Rydberg states and spin states can then be realized. The fidelity of the output state exceeds 0.99 with experimentally achievable parameters.

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Jun Wang, Wan-Ting He, Hai-Bo Wang, Qing Ai. 2023-07-19. Universal quantum gates by nonadiabatic holonomic evolution for the surface electron. https://doi.org/10.3389/fphy.2024.1348804

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