Ecological Pollution Control Using a Nonlinear Diffusion Model Based on Quantum Optimization
摘要
This paper examines the modeling of pollution spread in ecological systems using a nonlinear diffusion model and approaches to its effective control. The model accounts for temporal and spatial changes in the concentration of two substances (x and y), with the optimal control parameter u(t) at the central point determined using a Variational Quantum Eigensolver. Control values are optimized through simplified Hamiltonians based on Pauli operators. Here, the control action is directed at minimizing the level of ecological pollution. As a result of calculations, the temporal dynamics of concentration and control functions are analyzed. The model demonstrates a promising approach of quantum computing technologies in reducing pollution and ensuring ecological safety.