Dimensional Generalization and Quantum Entanglement: A Novel Approach
Jincheng Zhang
Abstract
This paper explores the potential of dimensionality generalization and quantum entanglement to revolutionize the field of quantum computing. We propose a novel model based on the concept of "quantum topology" – a framework that utilizes entangled states to dynamically reshape the geometry of higher-dimensional spaces. This model aims to create new mathematical functions and geometric transformations, offering a pathway to more stable and complex quantum states. The study details the implementation of this approach, examining its implications for quantum computation and the potential for emergent quantum phenomena. The core mechanism hinges on the manipulation of entangled states to define a dynamic, multi-dimensional space, opening avenues for novel mathematical analysis and quantum algorithms.