State-Constrained Optimal Control for Coherence Preservation in Multi-Level Open Quantum Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908138538532864 |
|---|---|
| author | Dehaghani, Nahid Binandeh Aguiar, A. Pedro Wisniewski, Rafal |
| author_facet | Dehaghani, Nahid Binandeh Aguiar, A. Pedro Wisniewski, Rafal |
| contents | This paper addresses the optimal control of quantum coherence in multi-level systems, modeled by the Lindblad master equation, which captures both unitary evolution and environmental dissipation. We develop an energy minimization framework to control the evolution of a qutrit (three-level) quantum system while preserving coherence between states. The control problem is formulated using Pontryagin's Minimum Principle in the form of Gamkrelidze, incorporating state constraints to ensure coherence remains within desired bounds. Our approach accounts for Markovian decoherence, demonstrating that the Lindblad operator is non-unital, which reflects the irreversible decay processes inherent in the system. The results provide insights into effectively maintaining quantum coherence in the presence of dissipation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | State-Constrained Optimal Control for Coherence Preservation in Multi-Level Open Quantum Systems Dehaghani, Nahid Binandeh Aguiar, A. Pedro Wisniewski, Rafal Quantum Physics This paper addresses the optimal control of quantum coherence in multi-level systems, modeled by the Lindblad master equation, which captures both unitary evolution and environmental dissipation. We develop an energy minimization framework to control the evolution of a qutrit (three-level) quantum system while preserving coherence between states. The control problem is formulated using Pontryagin's Minimum Principle in the form of Gamkrelidze, incorporating state constraints to ensure coherence remains within desired bounds. Our approach accounts for Markovian decoherence, demonstrating that the Lindblad operator is non-unital, which reflects the irreversible decay processes inherent in the system. The results provide insights into effectively maintaining quantum coherence in the presence of dissipation. |
| title | State-Constrained Optimal Control for Coherence Preservation in Multi-Level Open Quantum Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.10840 |