Universal quantum gates by nonadiabatic holonomic evolution for the surface electron

• URL: http://arxiv.org/abs/2307.09900v4
• Date: Sun, 29 Oct 2023 15:48:09 GMT
• Title: Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Authors: Jun Wang, Wan-Ting He, Hai-Bo Wang, Qing Ai
• Abstract summary: We propose a scheme to realize nonadiabatic holonomic quantum gates in a surface electron system. The fidelity of the output state exceeds 0.99 with experimentally achievable parameters.
• Score: 7.705629587639627
• License: http://creativecommons.org/licenses/by/4.0/
• 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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