On the mean-field Belavkin filtering equation

Following Kolokoltsov’s work [1], we present an extension of mean-field control theory in quantum framework. In particular such is done naturally by considering the Belavkin filtering and a setting. this setting, dynamics described controlled equation McKean-Vlasov type. We prove well-posedness under imperfect measurement records. Furthermore, show purification assumption propagation chaos for perfect measurements. Finally, apply particle methods to simulate provide numerical simulations showing stabilization feedback strategy towards chosen target state.