基于量子计算的非对称矩阵乘法算法
Jincheng Zhang
Abstract
This paper presents a novel quantum algorithm for matrix multiplication, leveraging quantum superposition and entanglement to achieve significantly enhanced computational speed and quantum advantage compared to classical methods. We propose a unique approach to matrix multiplication based on the quantum state representation of matrices, employing quantum entanglement to dramatically reduce the computational complexity inherent in traditional matrix multiplication. The algorithm demonstrates potential for high-throughput matrix operations, offering a substantial improvement in performance for computationally intensive tasks, particularly within the fields of machine learning and image processing. The proposed method offers a fundamentally new perspective on matrix multiplication, potentially ushering in a new era of quantum computing.