Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I)
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913387867275264 |
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| author | Wang, Penghui Wang, Shan |
| author_facet | Wang, Penghui Wang, Shan |
| contents | In this paper, the Pontryagin-type maximum principle for optimal control of quantum stochastic systems in fermion fields is obtained. These systems have gained significant prominence in numerous quantum applications ranging from physical chemistry to multi-dimensional nuclear magnetic resonance experiments. Furthermore, we establish the existence and uniqueness of solutions to backward quantum stochastic differential equations driven by fermion Brownian motion. The application of noncommutative martingale inequalities and the martingale representation theorem enables this achievement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I) Wang, Penghui Wang, Shan Optimization and Control Probability 47C15, 49K27, 81S25, 81Q93, 81V74 In this paper, the Pontryagin-type maximum principle for optimal control of quantum stochastic systems in fermion fields is obtained. These systems have gained significant prominence in numerous quantum applications ranging from physical chemistry to multi-dimensional nuclear magnetic resonance experiments. Furthermore, we establish the existence and uniqueness of solutions to backward quantum stochastic differential equations driven by fermion Brownian motion. The application of noncommutative martingale inequalities and the martingale representation theorem enables this achievement. |
| title | Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I) |
| topic | Optimization and Control Probability 47C15, 49K27, 81S25, 81Q93, 81V74 |
| url | https://arxiv.org/abs/2406.08153 |