Quantum Complexity Theory via Hybrid Dynamical Systems

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum Complexity Theory represents a paradigm shift in our understanding of complex quantum systems, moving beyond static models to embrace dynamic, hybrid dynamical systems. This paper proposes a novel framework for analyzing quantum complexity by integrating quantum dynamics with hybrid dynamical systems, aiming to unveil hidden patterns and provide deeper insights into the behavior of these systems. The core mechanism involves a closed-loop simulation that continuously updates the system's state, driving a dynamic evolution guided by quantum principles. This approach offers a more complete and nuanced understanding of complexity compared to traditional approaches.

DOI: 10.5281/zenodo.22265506

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