Non-Linear Matrix Operations: A Quantum Simulation Algorithm

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper presents a novel quantum simulation algorithm for non-linear matrix operations, leveraging quantum entanglement to achieve significant computational speedups. We propose a quantum algorithm that utilizes entanglement to accelerate matrix multiplication and addition, moving beyond the limitations of classical approaches. The core mechanism centers on harnessing the unique properties of quantum entanglement to represent and manipulate the matrix transformations, enabling parallel computation and potentially offering a new paradigm for numerical computation. The proposed algorithm demonstrates promising results in simulating certain matrix operations, showcasing the potential for exponential speedups in specific scenarios. This work contributes to the exploration of quantum algorithms for computationally intensive tasks and establishes a foundation for future advancements in quantum simulation.

DOI: 10.5281/zenodo.22630978

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