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

• URL: http://arxiv.org/abs/2602.12472v1
• Date: Thu, 12 Feb 2026 22:58:26 GMT
• Title: Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems
• Authors: Sofiane Chalal, Nina H. Amini, Hamed Amini, Mathieu Laurière,
• Abstract summary: We study a stabilization problem for continuously monitored Ising-coupled qubits.<n>We demonstrate quantum state reduction together with exponential convergence toward prescribed eigenstates under suitable feedback laws.
• Score: 1.9501702058980246
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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