Dimension Generalization and Geometric Quantum Computing
Jincheng Zhang
Abstract
This paper explores the intersection of dimension generalization and geometric quantum computing, investigating the potential to directly compute mathematical operations within high-dimensional spaces using quantum entanglement. We propose a novel "dimension encoding" mechanism leveraging quantum entanglement to enable efficient simulation of complex geometric structures. The core mechanism centers around leveraging quantum entanglement to enhance computational capabilities and overcome limitations of traditional quantum computation. This work aims to push the boundaries of computation, particularly within the realms of geometry and physics, and suggests the potential for groundbreaking applications.