Dimension Expansion Algorithm
Jincheng Zhang
Abstract
This paper introduces a novel Dimension Expansion Algorithm (DEA) leveraging quantum entanglement to dynamically extend the dimensional landscape for simulation purposes, particularly with emphasis on potential applications in quantum computing and exploration of hypothetical multi-dimensional spaces. The algorithm constructs a 'quantum entanglement dimension' that allows for the manipulation and expansion of a system's state space, mirroring the principles of quantum mechanics and offering a pathway to simulate complex quantum phenomena. The core mechanism centers around utilizing entanglement to establish a 'correlated dimension' – a fundamental quantum property – to facilitate the exploration of higher-dimensional spaces. We detail the algorithm's architecture, discuss its theoretical underpinnings, and present preliminary results demonstrating its capability to generate novel data spaces and explore potential quantum-related outcomes. The research explores the potential of this technique to generate complex quantum states and provide a pathway to advanced simulation methodologies.