Saved in:
| Main Authors: | , , , , , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.15922 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917687313039360 |
|---|---|
| author | Zhang, J. -W. Bu, J. -T. Li, J. C. Meng, Weiquan Ding, W. -Q. Wang, B. Yuan, W. -F. Du, H. -J. Ding, G. -Y. Chen, W. -J. Chen, L. Zhou, F. Xu, Zhenyu Feng, M. |
| author_facet | Zhang, J. -W. Bu, J. -T. Li, J. C. Meng, Weiquan Ding, W. -Q. Wang, B. Yuan, W. -F. Du, H. -J. Ding, G. -Y. Chen, W. -J. Chen, L. Zhou, F. Xu, Zhenyu Feng, M. |
| contents | The approach of shortcuts to adiabaticity enables the effective execution of adiabatic dynamics in quantum information processing with enhanced speed. Owing to the inherent trade-off between dynamical speed and the cost associated with the transitionless driving field, executing arbitrarily fast operations becomes impractical. To understand the accurate interplay between speed and energetic cost in this process, we propose theoretically and verify experimentally a new trade-off, which is characterized by a tightly optimized bound within $s$-parameterized phase spaces. Our experiment is carried out in a single ultracold $^{40}$Ca$^{+}$ ion trapped in a harmonic potential. By exactly operating the quantum states of the ion, we execute the Landau-Zener model as an example, where the quantum speed limit as well as the cost are governed by the spectral gap. We witness that our proposed trade-off is indeed tight in scenarios involving both initially eigenstates and initially thermal equilibrium states. Our work helps understanding the fundamental constraints in shortcuts to adiabaticity and illuminates the potential of under-utilized phase spaces that have been traditionally overlooked. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Single-Atom Verification of the Optimal Trade-Off between Speed and Cost in Shortcuts to Adiabaticity Zhang, J. -W. Bu, J. -T. Li, J. C. Meng, Weiquan Ding, W. -Q. Wang, B. Yuan, W. -F. Du, H. -J. Ding, G. -Y. Chen, W. -J. Chen, L. Zhou, F. Xu, Zhenyu Feng, M. Quantum Physics The approach of shortcuts to adiabaticity enables the effective execution of adiabatic dynamics in quantum information processing with enhanced speed. Owing to the inherent trade-off between dynamical speed and the cost associated with the transitionless driving field, executing arbitrarily fast operations becomes impractical. To understand the accurate interplay between speed and energetic cost in this process, we propose theoretically and verify experimentally a new trade-off, which is characterized by a tightly optimized bound within $s$-parameterized phase spaces. Our experiment is carried out in a single ultracold $^{40}$Ca$^{+}$ ion trapped in a harmonic potential. By exactly operating the quantum states of the ion, we execute the Landau-Zener model as an example, where the quantum speed limit as well as the cost are governed by the spectral gap. We witness that our proposed trade-off is indeed tight in scenarios involving both initially eigenstates and initially thermal equilibrium states. Our work helps understanding the fundamental constraints in shortcuts to adiabaticity and illuminates the potential of under-utilized phase spaces that have been traditionally overlooked. |
| title | Single-Atom Verification of the Optimal Trade-Off between Speed and Cost in Shortcuts to Adiabaticity |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.15922 |