Sum rule for non-adiabatic geometric phases
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914244241391616 |
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| author | Fredriksson, Adam Sjöqvist, Erik |
| author_facet | Fredriksson, Adam Sjöqvist, Erik |
| contents | Berry monopoles always cancel when summing over a complete set of energy eigenstates. We demonstrate that analogous sum rules exist for geometric phases and their underlying 2-forms in non-adiabatic evolution. Our result has implications for qudit computation as it limits the types of gates that can be implemented by purely geometric means. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sum rule for non-adiabatic geometric phases Fredriksson, Adam Sjöqvist, Erik Quantum Physics Berry monopoles always cancel when summing over a complete set of energy eigenstates. We demonstrate that analogous sum rules exist for geometric phases and their underlying 2-forms in non-adiabatic evolution. Our result has implications for qudit computation as it limits the types of gates that can be implemented by purely geometric means. |
| title | Sum rule for non-adiabatic geometric phases |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.22437 |