Dynamic Matrix Decomposition for Quantum State Generation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of dynamic matrix decomposition (DMD) to quantum state generation, offering a novel approach to produce non-standard quantum states. Traditional matrix decomposition methods, reliant on classical matrices, are inherently limited in their ability to capture the inherent randomness and complexity of quantum systems. We propose a DMD-based framework that leverages probability to generate diverse quantum states, potentially facilitating the construction of robust quantum key distribution (QKD) systems. The core mechanism centers around the probabilistic nature of MD, enabling the creation of states with unique properties, a crucial aspect for security and operational flexibility. The paper details the implementation of this method, analyzes its performance, and discusses its potential impact on quantum information processing.

DOI: 10.5281/zenodo.22205725

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