Quantum approach to optimal pollution control in agro-industrial production for environmental protection
D.T. Muhamediyeva, M. H. Raupova, B. N. Samijonov +2 more
In this paper, Pontryagin’s Maximum Principle is used to develop a mathematical model for optimal pollution control. It includes the dynamics of spatial pollution distribution, natural decay, nonlinear saturation, and economic mechanisms for emission regulation. The numerical solution is based on a quantum-classical approach that uses finite difference methods to model pollution dynamics and the Variational Quantum Algorithm to determine optimal pollution control strategies. The optimal control distributions, the evolution of the adjoint variables, and heatmaps of pollutant dispersion, as well as pollution dynamics, are shown for the results. These findings can be used to design environmentally sustainable pollution management strategies that support economic development and environmental protection.
AIP conference proceedings•Jan 1, 2026•0 citations