Generation of Quantum States Based on Multi-Scale Chaotic Maps

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

This paper presents a novel approach to generating multi-dimensional quantum states leveraging the principles of multi-scale chaotic dynamics. The core idea revolves around constructing a complex chaotic system through carefully designed multi-scale chaotic mappings. This system effectively harnesses the inherent sensitivity and complexity of chaotic systems to facilitate the creation of quantum superposition and entanglement, ultimately leading to the efficient generation of quantum states with desired multi-qubit properties. The method offers a significant advancement over existing techniques that are often limited to single- or two-state generation. We demonstrate a framework for controlling the dimensionality and multi-qubit nature of the generated quantum states by meticulously adjusting the parameters of the underlying chaotic maps. The theoretical framework is presented, including key equations and mathematical formulations, providing a robust foundation for understanding and implementing this approach. The generated states are characterized using appropriate metrics, demonstrating the potential for applications in quantum information processing and simulation. ---

DOI: 10.5281/zenodo.22139651

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