Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918145218838528 |
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| author | Peruzzo, Marco Grigoletto, Tommaso Ticozzi, Francesco |
| author_facet | Peruzzo, Marco Grigoletto, Tommaso Ticozzi, Francesco |
| contents | We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic observability analysis, we show that, even when the initial state is not uniquely determined for a static system, this can be reconstructed if we leverage the system's dynamics. The choice of dynamical generators and the effect of finite samples is discussed, along with an illustrative example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint Peruzzo, Marco Grigoletto, Tommaso Ticozzi, Francesco Quantum Physics We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic observability analysis, we show that, even when the initial state is not uniquely determined for a static system, this can be reconstructed if we leverage the system's dynamics. The choice of dynamical generators and the effect of finite samples is discussed, along with an illustrative example. |
| title | Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.13668 |