Quantum Entanglement Non-Linear Equation Solving
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental property of quantum mechanics, presents a unique challenge in solving complex mathematical equations, particularly those within non-linear equation-based systems. This paper explores a novel approach to quantum equation solving utilizing entanglement, aiming to enhance the precision of state measurement and modeling within quantum computation and simulation. The core mechanism centers around leveraging entanglement to simplify the solution process and achieve more accurate results. This work proposes a new algorithmic framework that leverages the inherent correlation between entangled particles to efficiently navigate the equation's solution space, ultimately offering a significant advancement over existing methods. The paper details the implementation of the proposed method, its performance evaluation, and discusses its potential implications for advancing quantum technologies.