Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint

• URL: http://arxiv.org/abs/2501.13668v1
• Date: Thu, 23 Jan 2025 13:54:10 GMT
• Title: Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
• Authors: Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi,
• Abstract summary: 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.
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• Abstract: 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.

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