Dimension Generalization and the Interaction of Quantum Entanglement
Jincheng Zhang
Abstract
This paper explores the potential of leveraging quantum entanglement to facilitate the precise simulation of quantum phenomena within high-dimensional spaces. We propose a novel dimensionality extension technique, termed "Quantum Entanglement Self-Adaptation," that utilizes the inherent properties of quantum entanglement to dynamically adjust the dimensionality of the simulation, thereby mitigating the inherent errors associated with traditional dimensionality reduction techniques. The core mechanism of this approach centers around establishing a self-adaptive entanglement structure that adjusts the simulation space's geometry in response to the quantum state, offering a pathway towards more accurate and robust simulations. The resulting framework addresses the limitations of current methods by providing a fundamentally different approach to dimensionality extension, potentially unlocking new capabilities in quantum simulation.