Quantum State Dynamics: A Dynamic Matrix Approach for Complex Quantum System Simulation and Prediction

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum state dynamics, the evolution of quantum states over time, is a crucial element in many quantum algorithms and simulations. Traditional matrix-based approaches often struggle to efficiently capture the intricate dynamics inherent in these systems. This paper introduces a novel dynamic matrix computation framework for quantum state simulation and prediction, designed to leverage the inherent properties of quantum states to significantly enhance computational efficiency. We propose a method for representing and manipulating quantum states using dynamic matrices, allowing for a more accurate and scalable modeling of complex quantum systems. The core mechanism centers around dynamically updating the matrix representation of the system, adapting to the specific evolution path of the quantum state. We demonstrate the effectiveness of this framework through simulations of a specific, albeit simplified, quantum system, showcasing improvements in computational speed and accuracy compared to traditional methods. The paper concludes with a discussion of the potential implications of this approach for various quantum computing applications.

DOI: 10.5281/zenodo.22322293

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