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Quantum Software Tools Programming
Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems
arXiv
Authors: Sofiane Chalal, Nina H. Amini, Hamed Amini, Mathieu Laurière
Year
2026
Paper ID
714
Status
Preprint
Abstract Read
~2 min
Abstract Words
56
Citations
N/A
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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- Working within the quantum filtering framework, we establish a dynamic programming principle in an infinite-dimensional setting by embedding the state space into the...
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