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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.17188 |
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| _version_ | 1866914513974984704 |
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| author | Wassner, Clara Guaita, Tommaso Eisert, Jens Carrasco, Jose |
| author_facet | Wassner, Clara Guaita, Tommaso Eisert, Jens Carrasco, Jose |
| contents | Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum computation in atom experiments through a universal set of fully holonomic adiabatic gates. Through a detailed differential geometric analysis, we elucidate the geometric nature of these gates and their inherent robustness against classical control errors and other noise sources. The concepts that we introduce here are expected to be widely applicable to the understanding and design of error robustness in generic holonomic protocols. To underscore the practical feasibility of our approach, we contextualize our gate design within recent advancements in Rydberg-based quantum computing and simulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holonomic quantum computation: a scalable adiabatic architecture Wassner, Clara Guaita, Tommaso Eisert, Jens Carrasco, Jose Quantum Physics Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum computation in atom experiments through a universal set of fully holonomic adiabatic gates. Through a detailed differential geometric analysis, we elucidate the geometric nature of these gates and their inherent robustness against classical control errors and other noise sources. The concepts that we introduce here are expected to be widely applicable to the understanding and design of error robustness in generic holonomic protocols. To underscore the practical feasibility of our approach, we contextualize our gate design within recent advancements in Rydberg-based quantum computing and simulation. |
| title | Holonomic quantum computation: a scalable adiabatic architecture |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.17188 |