Title: Quantum Simulation of Fluid Dynamics with Non-Local Interactions
Jincheng Zhang
Abstract
Quantum simulation, leveraging the principles of quantum mechanics, holds immense potential for accurately modeling complex systems, including fluid dynamics. This research investigates a novel quantum simulation algorithm designed to tackle the challenges inherent in traditional numerical methods, specifically focusing on the intricate dynamics of turbulent flow. The core of this endeavor is the creation of a modified quantum field theory that incorporates a 'non-local interaction' – a crucial element we hypothesize will significantly enhance the simulation's fidelity and address limitations of existing approaches. The study explores the algorithm's capacity to generate realistic fluid dynamics simulations, demonstrating a demonstrable improvement in accuracy compared to existing numerical techniques, particularly when simulating turbulent regimes. This work presents a fundamentally new approach to quantum fluid dynamics simulation, offering a pathway toward more precise and comprehensive modeling of fluid behavior.