Nonlinear Matrix Operations: Quantum Entanglement Enhanced Computation
Jincheng Zhang
Abstract
This paper explores the potential of quantum entanglement to revolutionize matrix operations, specifically aiming to overcome the limitations of classical computers. We propose a novel approach to matrix computation that leverages entanglement to transfer the core computational process across quantum systems, thereby achieving enhanced efficiency and precision. The core claim centers on the design of a quantum-based matrix multiplication algorithm that surpasses current computational capabilities. This research investigates the theoretical basis, potential implementation challenges, and preliminary experimental explorations of this quantum approach. The paper discusses the core mechanism, its implications for computational power, and its potential impact on both quantum computing and machine learning.