Quantum Computing Foundation of High-Order Matrix Operations

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the potential of utilizing quantum entanglement to revolutionize matrix operations, a crucial component of many linear algebra algorithms. The core claim is the development of a novel quantum computing approach that leverages quantum entanglement to accelerate complex linear algebra calculations. We propose a new algorithmic framework centered around quantum state manipulation, specifically designed to exploit the correlated properties of entangled qubits to significantly reduce computational complexity. This work will present a theoretical foundation for this approach, outlining the key mechanisms involved, and exploring the potential for practical implementation. The focus will be on demonstrating the theoretical benefits and providing a roadmap for future research.

DOI: 10.5281/zenodo.22281061

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