Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems
Sofiane Chalal, Nina H. Amini, Hamed Amini +1 more
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.
quant-pharXiv:2602.12472•IEEE International Conference on Quantum Control, Computing and Learning (qCCL)•Feb 16, 2026•0 citations