Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
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 platfor...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1348804/full |
| _version_ | 1827368413273522176 |
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| author | Jun Wang Wan-Ting He Hai-Bo Wang Qing Ai Qing Ai |
| author_facet | Jun Wang Wan-Ting He Hai-Bo Wang Qing Ai Qing Ai |
| author_sort | Jun Wang |
| collection | DOAJ |
| description | 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 holonomic gate. Only the electron with spin up experiences the holonomic 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. |
| first_indexed | 2024-03-08T09:31:03Z |
| format | Article |
| id | doaj.art-84b06ac1cecd4ec982732605d2d197d2 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-08T09:31:03Z |
| publishDate | 2024-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-84b06ac1cecd4ec982732605d2d197d22024-01-31T04:17:22ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-01-011210.3389/fphy.2024.13488041348804Universal quantum gates by nonadiabatic holonomic evolution for the surface electronJun Wang0Wan-Ting He1Hai-Bo Wang2Qing Ai3Qing Ai4Applied Optics Beijing Area Major Laboratory, Department of Physics, Beijing Normal University, Beijing, ChinaApplied Optics Beijing Area Major Laboratory, Department of Physics, Beijing Normal University, Beijing, ChinaApplied Optics Beijing Area Major Laboratory, Department of Physics, Beijing Normal University, Beijing, ChinaApplied Optics Beijing Area Major Laboratory, Department of Physics, Beijing Normal University, Beijing, ChinaKey Laboratory of Mutisale Spin Physics, Ministry of Education, Beijing Normal University, Beijing, ChinaThe 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 holonomic gate. Only the electron with spin up experiences the holonomic 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.https://www.frontiersin.org/articles/10.3389/fphy.2024.1348804/fullholonomic quantum computationgeometric phasesurface electronquantum computationquantum information |
| spellingShingle | Jun Wang Wan-Ting He Hai-Bo Wang Qing Ai Qing Ai Universal quantum gates by nonadiabatic holonomic evolution for the surface electron Frontiers in Physics holonomic quantum computation geometric phase surface electron quantum computation quantum information |
| title | Universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| title_full | Universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| title_fullStr | Universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| title_full_unstemmed | Universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| title_short | Universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| title_sort | universal quantum gates by nonadiabatic holonomic evolution for the surface electron |
| topic | holonomic quantum computation geometric phase surface electron quantum computation quantum information |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1348804/full |
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