Quantum Information Encoding for Complex Dynamical Systems
Jincheng Zhang
Abstract
Quantum information encoding is a burgeoning field with the potential to revolutionize complex system modeling, particularly those exhibiting dynamic behavior. This paper investigates a novel approach to encoding complex dynamical systems into quantum information, leveraging quantum entanglement to achieve faster and more precise simulation compared to classical methods. We propose a method centered around the creation of entangled states that directly represent the state space of the system, offering a significant advancement in the ability to efficiently simulate and control these intricate systems. The core mechanism hinges on exploiting the inherent correlations within entangled states to facilitate a more streamlined and accurate representation of the system's dynamics. The potential impact of this research extends to diverse areas, including control systems, optimization, and fundamental physics research.