Graphon Quantum Filtering Systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917123244163072 |
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| author | Amini, Hamed Amini, Nina H. Chalal, Sofiane Guo, Gaoyue |
| author_facet | Amini, Hamed Amini, Nina H. Chalal, Sofiane Guo, Gaoyue |
| contents | We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on dense graphs. In the mean-field limit, we derive a graphon-based quantum filtering system, establish its well-posedness, and prove propagation of chaos for multi-class bosonic systems with blockwise interactions. We then discuss applications to quantum state preparation and quantum graphon games. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12249 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graphon Quantum Filtering Systems Amini, Hamed Amini, Nina H. Chalal, Sofiane Guo, Gaoyue Probability Mathematical Physics Combinatorics Quantum Physics 81S25, 81S22, 60K35, 60H30, 49N80 We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on dense graphs. In the mean-field limit, we derive a graphon-based quantum filtering system, establish its well-posedness, and prove propagation of chaos for multi-class bosonic systems with blockwise interactions. We then discuss applications to quantum state preparation and quantum graphon games. |
| title | Graphon Quantum Filtering Systems |
| topic | Probability Mathematical Physics Combinatorics Quantum Physics 81S25, 81S22, 60K35, 60H30, 49N80 |
| url | https://arxiv.org/abs/2506.12249 |