Quantum-Enhanced Geometric Simulation of Complex Flows
Jincheng Zhang
Abstract
This paper investigates the application of quantum-enhanced geometric simulation to complex fluid flows, aiming to significantly improve accuracy and speed compared to traditional numerical methods. The core claim is to develop a novel quantum-based technique that utilizes quantum algorithms to represent fluid states and dynamics, leading to enhanced computational efficiency and precision. We explore the potential of leveraging quantum phenomena such as superposition and entanglement to address the inherent challenges of simulating fluid behavior, particularly those involving complex geometries and rapid changes. The paper presents a conceptual framework, outlines the key algorithmic steps, and discusses the challenges and opportunities inherent in this research area. The study emphasizes the transformative potential of quantum computing for fluid dynamics, paving the way for more accurate and efficient simulations of intricate flow phenomena.