Time-Optimal Control of Finite Dimensional Open Quantum Systems via a Model Predictive Strategy
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916912042082304 |
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| author | Lee, Yunyan Petersen, Ian R. Dong, Daoyi |
| author_facet | Lee, Yunyan Petersen, Ian R. Dong, Daoyi |
| contents | To mitigate dissipative effects from environmental interactions and efficiently stabilize quantum states, time-optimal control has emerged as an effective strategy for open quantum systems. This paper extends the framework by incorporating Positive Operator-Valued Measures (POVMs) into the control process, enabling quantum measurements to guide control updates at each step. To address uncertainties in measurement outcomes, we derive a lower bound on the probability of obtaining a desired outcome from POVM-based measurements and establish stability conditions that ensure a monotonic decrease in the cost function. The proposed method is applied to finite-level open quantum systems, and we also present a detailed analysis of two-level systems under depolarizing, phase-damping, and amplitude-damping channels. Numerical simulations validate the effectiveness of the strategy in preserving coherence and achieving high fidelity across diverse noise environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16205 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Time-Optimal Control of Finite Dimensional Open Quantum Systems via a Model Predictive Strategy Lee, Yunyan Petersen, Ian R. Dong, Daoyi Quantum Physics To mitigate dissipative effects from environmental interactions and efficiently stabilize quantum states, time-optimal control has emerged as an effective strategy for open quantum systems. This paper extends the framework by incorporating Positive Operator-Valued Measures (POVMs) into the control process, enabling quantum measurements to guide control updates at each step. To address uncertainties in measurement outcomes, we derive a lower bound on the probability of obtaining a desired outcome from POVM-based measurements and establish stability conditions that ensure a monotonic decrease in the cost function. The proposed method is applied to finite-level open quantum systems, and we also present a detailed analysis of two-level systems under depolarizing, phase-damping, and amplitude-damping channels. Numerical simulations validate the effectiveness of the strategy in preserving coherence and achieving high fidelity across diverse noise environments. |
| title | Time-Optimal Control of Finite Dimensional Open Quantum Systems via a Model Predictive Strategy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.16205 |