Abstract
This paper discusses the application of quantum algorithms to the optimization of energy systems, focusing on solving the routing problem in the context of energy. A quantum approach that utilizes the principles of superposition and inversion with respect to the mean to efficiently find optimal energy routing is proposed. Research is carried out to develop a special quantum oracle to represent the structure of energy networks and energy flows between nodes. The application of inversion with respect to the mean provides efficient convergence to optimal solutions in the space of possible routes. We implement the quantum algorithm in the form of a quantum circuit, visualize the results and provide an analysis of the optimal energy routes. The work represents an important step in the development of quantum optimization methods for solving complex problems in the field of energy and may have prospects in practical applications in the future.
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