Dimension Space: A Novel Algebraic Structure for Quantum Computing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the development of a novel algebraic structure, termed the "Dimension Space," as a bridge between linear algebra and non-linear algebra. The core claim is that this framework offers a pathway to understanding and manipulating quantum systems within high-dimensional spaces, potentially driving significant advancements in quantum computing theory. We investigate the inherent properties of this dimension space and its relationship to quantum computation, proposing a mechanism to leverage this structure for enhanced algorithm design and optimization. The study will analyze the behavior of quantum states and quantum circuits within this space, highlighting potential implications for quantum information processing.

DOI: 10.5281/zenodo.22192023

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