Matrix Operations Quantum Geometry

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of quantum geometry to revolutionize matrix operations, offering a novel approach leveraging the unique properties of quantum computation. We propose a framework where matrix operations are inherently transformed into quantum geometric shifts, enabling the exploitation of quantum computing's inherent advantages. The core mechanism involves meticulously mapping the core operations of matrix multiplication onto a quantum geometric transformation, and subsequently utilizing the quantum system's properties to implement these transformations with computational efficiency. The investigation focuses on establishing a theoretical foundation and demonstrating the feasibility of this paradigm shift, highlighting its potential for advancing both numerical computation and quantum information processing.

DOI: 10.5281/zenodo.22193295

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