Quantum Entanglement Dynamic Geometry Modeling
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental phenomenon in quantum mechanics, presents a unique challenge for geometric modeling. This paper explores a novel dynamic geometry modeling approach leveraging quantum entanglement to construct a non-linear geometric framework capable of precisely describing quantum state evolution and computation. Traditional geometric models often fall short in capturing the intricate complexities associated with entangled quantum states. This work proposes a method that intelligently integrates entanglement with geometric properties, offering a pathway to enhanced analysis and computational capabilities. We demonstrate the effectiveness of this approach through a theoretical framework and preliminary numerical simulations, illustrating its potential to overcome limitations of existing geometric techniques in handling quantum phenomena.