Quantum Parallel Matrix Multiplication Leveraging Quantum State Superposition

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper proposes a novel approach to accelerating matrix multiplication by exploiting the principles of quantum state superposition. The core idea centers on decomposing the matrix multiplication process into a series of quantum state superposition calculations and leveraging quantum interference effects for enhanced computational speed. Traditional parallel matrix multiplication algorithms primarily rely on classical computation methods, often failing to effectively harness the inherent parallel processing capabilities of quantum hardware. This work presents a quantum algorithm designed specifically to address this limitation. The algorithm utilizes the superposition of quantum states to perform multiple matrix multiplication operations concurrently. The mathematical framework is presented, detailing the quantum gate sequence and the overall computational flow. The potential for significant speedup is discussed, acknowledging the challenges inherent in realizing such an algorithm on current and near-term quantum devices. The key contribution lies in the direct mapping of matrix multiplication onto a quantum system, optimizing for superposition and interference. The theoretical analysis provides a foundation for future research and development in this area.

DOI: 10.5281/zenodo.22596155

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