Quantum Phase Estimation and the Aharonov-Bohm effect
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909256851128320 |
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| author | Splittorff, K. |
| author_facet | Splittorff, K. |
| contents | We consider the time evolution of a particle on a ring with a long solenoid through and show that due to the Aharonov-Bohm effect this system naturally makes up a physical implementation of the quantum phase estimation algorithm for a $U(1)$ unitary operator. The implementation of the full quantum phase estimation algorithm with a $U(N)$ unitary operator is realised through the non-abelian Aharonov-Bohm effect. The implementation allows for a more physically intuitive understanding of the algorithm. As an example we use the path integral formulation of the implemented quantum phase estimation algorithm to analyse the classical limit $\hbar\to0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Phase Estimation and the Aharonov-Bohm effect Splittorff, K. Quantum Physics High Energy Physics - Theory We consider the time evolution of a particle on a ring with a long solenoid through and show that due to the Aharonov-Bohm effect this system naturally makes up a physical implementation of the quantum phase estimation algorithm for a $U(1)$ unitary operator. The implementation of the full quantum phase estimation algorithm with a $U(N)$ unitary operator is realised through the non-abelian Aharonov-Bohm effect. The implementation allows for a more physically intuitive understanding of the algorithm. As an example we use the path integral formulation of the implemented quantum phase estimation algorithm to analyse the classical limit $\hbar\to0$. |
| title | Quantum Phase Estimation and the Aharonov-Bohm effect |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.11179 |