Quantum-Inspired Geometry for Simulation
Jincheng Zhang
Abstract
Quantum-Inspired Geometry (QIG) offers a novel approach to simulating quantum systems by leveraging the principles of quantum mechanics to engineer geometric representations. This research proposes a framework for defining and manipulating geometric structures that accurately capture the behavior of quantum phenomena, aiming to enhance the accuracy and efficiency of simulations. The core mechanism involves adapting existing geometric concepts—such as Hilbert spaces and quantum states—to incorporate quantum-related properties, thereby providing a more robust and versatile tool for modeling quantum systems. This work will explore the potential of QIG to address limitations in current simulation techniques and contribute to a deeper understanding of quantum mechanics.