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arXiv · 2602.12472

Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems

Sofiane Chalal·Nina H. Amini·Hamed Amini·Mathieu Laurière
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Abstract

Working within the quantum filtering framework, we establish a dynamic programming principle in an infinite-dimensional setting by embedding the state space into the Hilbert-Schmidt space. We then study a stabilization problem for continuously monitored Ising-coupled qubits and, in the mean-field limit, demonstrate quantum state reduction together with exponential convergence toward prescribed eigenstates under suitable feedback laws.

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Sofiane Chalal, Nina H. Amini, Hamed Amini, Mathieu Laurière. 2026-02-12. Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems. https://arxiv.org/abs/2602.12472

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