Quantum-Enhanced Geometric Optimization of Fluid Dynamics
Jincheng Zhang
Abstract
Quantum-enhanced geometric optimization of fluid dynamics aims to address limitations in classical simulations by introducing quantum algorithms to refine fluid flow predictions. This research explores the application of quantum annealing and VQE to optimize fluid dynamics, specifically focusing on enhancing stability and flow rate. The core mechanism involves leveraging geometric concepts – particularly the shape and topology of fluid domains – to guide quantum optimization, ultimately leading to improved simulation accuracy and computational efficiency. The novelty lies in the integration of quantum mechanics with geometric principles, a previously unexplored avenue for fluid dynamics modeling. This paper details the theoretical framework, algorithm design, and preliminary results demonstrating the potential of this approach.