Core Claim: This paper presents a novel approach to matrix multiplication based on quantum fields, leveraging the unique properties of quantum fields to accelerate computation and enhance algorithmic efficiency.
Jincheng Zhang
Abstract
Matrix multiplication is a fundamental operation in various fields, from linear algebra to computer graphics. However, traditional methods often suffer from computational bottlenecks when dealing with large matrices, limiting their applicability. This paper introduces a new algorithm employing quantum fields to significantly enhance matrix multiplication efficiency. The core of this approach lies in applying quantum fields to the matrix operations, utilizing their inherent properties to optimize the computation process. We explore a method that dynamically adjusts the quantum field parameters based on the matrix being multiplied, leading to improved convergence and computational speed. The research presented herein demonstrates the effectiveness of this technique through extensive simulations and preliminary analysis. This advancement promises to unlock new possibilities in matrix calculations, particularly for large-scale applications, and offers a viable alternative to conventional methods.