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Hybrid Quantum-Classical Modeling Framework for Multiscale and Multiphysics Optimization of Nanotechnology-Driven Advanced Energy Systems

Baktygul Assanova, CUMALİ YAŞAR, Eden Mamut

Published Jan 1, 2025• 0 citations
OpenAlex

Abstract

Recent developments in quantum computing have triggered a paradigm shift extending from algorithmic theory to applied engineering fields, particularly in the modeling and optimization of complex energy systems. This study presents a hybrid quantum-classical computational framework designed for the multiscale and multiphysics modeling of nanotechnology-driven energy systems. The illustrative case involves a proton exchange membrane fuel cell (PEMFC) utilizing nanostructured materials, governed by electrochemical reactions, transport phenomena, degradation mechanisms, and adaptive control dynamics. The proposed framework integrates classical numerical solvers with quantum algorithms such as the Variational Quantum Eigensolver (VQE), Quantum Approximate Optimization Algorithm (QAOA), and Harrow-Hassidim-Lloyd (HHL) solver. A modular orchestration layer ensures data interoperability and coherence between quantum and classical components. This integration improves computational efficiency in high-dimensional, nonlinear problems and opens a path toward domain-specific quantum advantage in energy systems engineering. The results demonstrate the feasibility of incorporating quantum computing into classical modeling pipelines and suggest promising directions for future research in adaptive, scalable, and high-fidelity simulation environments.

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This report provides a comprehensive analysis of hybrid quantum-classical computing's role in addressing complex physical problems. It delineates the foundational principles of both classical and quantum paradigms, explores advanced architectural models and integration strategies, and details the application of cutting-edge quantum algorithms—including Variational Quantum Eigensolver (VQE), Quantum Phase Estimation (QPE), and Quantum Approximate Optimization Algorithm (QAOA)—alongside classical numerical methods such as Finite Element Method (FEM) and Finite Difference Method (FDM). Through a review of real-world case studies in materials science, chemistry, fluid dynamics, and high-energy physics, the report illustrates the transformative potential of this synergistic approach. Furthermore, it critically examines the prevailing challenges, encompassing hardware limitations, quantum error correction, software-hardware co-design, scalability, and data handling complexities, while forecasting the convergence with exascale computing. The aim is to elucidate the current state and future trajectory of hybrid quantum-classical computing as a pivotal tool for scientific discovery and engineering innovation in the networked era.
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Quantum computing has emerged as a transformative paradigm capable of solving complex computational problems that are intractable for classical computers. Central to the advancement of this technology is the development of efficient quantum algorithms and high fidelity simulations that enable the design, testing, and optimization of quantum solutions before deployment on physical hardware. This study focuses on the design and implementation of quantum algorithms tailored for solving a variety of quantum problems, including quantum chemistry, optimization, and cryptography. Using state of the art simulation platforms such as Qiskit, Cirq, and Pennylane, algorithm performance was evaluated in terms of accuracy, execution time, scalability, and resilience to noise. Benchmarks demonstrate that algorithms such as the Variational Quantum Eigensolver (VQE) and Quantum Approximate Optimization Algorithm (QAOA) achieve significant speedups in problem specific domains, while hybrid quantum–classical methods provide robust pathways for near term quantum advantage. Simulation results reveal that algorithmic efficiency can be significantly improved through optimized circuit depth, qubit connectivity mapping, and advanced error mitigation techniques. The findings highlight the potential of simulation driven quantum algorithm development in accelerating the practical realization of quantum computing applications across disciplines such as materials discovery, molecular modeling, secure communications, and complex optimization tasks.
The increasing complexity of modern energy systems—driven by distributed renewable generation, dynamic grid behavior, and multi-scale interactions—necessitates computational models capable of capturing nonlinearities, stochastic variability, and high-dimensional optimization landscapes. Embedding-based quantum simulations offer a promising path forward by integrating quantum solvers into classical energy modeling frameworks, enabling more accurate analysis of localized subsystems while maintaining tractable large-scale system evaluations. This study investigates quantum embedding techniques applied to power flow analysis, renewable integration, grid stability assessment, and energy storage optimization. By partitioning complex energy networks into quantum-treated active regions embedded within classical architectures, the approach enhances the fidelity of system-level simulations while reducing computational overhead. The research highlights the potential of hybrid quantum–classical workflows to accelerate decision-making in smart grid design, improve forecasting under uncertainty, and support the development of sustainable engineering solutions. The results outline a roadmap for deploying quantum-embedded simulations in future energy infrastructures.