Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems
Quantum Physics
2026-02-16 v1 Optimization and Control
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.
Cite
@article{arxiv.2602.12472,
title = {Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems},
author = {Sofiane Chalal and Nina H. Amini and Hamed Amini and Mathieu Laurière},
journal= {arXiv preprint arXiv:2602.12472},
year = {2026}
}