Nonlinear Matrix Decomposition Quantum Simulation
Jincheng Zhang
Abstract
This paper presents a novel approach to quantum simulation, focusing on the non-linear matrix decomposition algorithm. The core claim is that this algorithm, leveraging quantum entanglement, offers a significantly more accurate and efficient simulation of complex quantum systems, particularly those involving quantum entanglement and quantum field effects. Traditional matrix decomposition methods often suffer from errors, and this work introduces a quantum-based technique designed to exploit the unique properties of quantum entanglement to enhance simulation fidelity. The algorithm's mechanism centers on establishing and manipulating entangled states to extract critical physical parameters and facilitate accurate simulation. This paper details the algorithm's design, implementation, and preliminary results, demonstrating its potential for advanced quantum system modeling.