EXPANDING THE ROLE OF MATHEMATICAL MODELING IN QUANTUM COMPUTERS: THE APPLICATION OF THEORETICAL PHYSICS IN NEXT-GENERATION COMPUTING TECHNOLOGIES
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Abstract
This research investigates the integration of mathematical modeling with theoretical physics in quantum computing, focusing on electrochemo-mechanics modeling of lithium-ion batteries. By examining principles of quantum mechanics and developing multiphysics models, we aim to enhance understanding of battery safety and durability at various scales, from atomic to electric vehicles. The study explores quantum computing's foundational principles, including qubits and entanglement, alongside mathematical models of key quantum algorithms. These efforts underscore quantum computing’s potential to revolutionize problem-solving across disciplines. Additionally, theoretical physics' role in advancing quantum computing technologies is examined, particularly in the context of battery safety and electrochemo-mechanics. Our findings strive to present new mathematical models and algorithms to improve quantum computational efficiency and safety, promising to accelerate quantum technologies' application in cryptography, metrology, and materials science. This research contributes to the broader discourse on quantum computing, highlighting the critical role of mathematical modeling and theoretical physics in navigating the complexities of quantum technologies and enhancing the practical applications of next-generation energy storage solutions.
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