Quantum Geometry: A Probabilistic Foundation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum Geometry explores the intersection of probability theory and geometric analysis, aiming to establish a framework where quantum entanglement and geometric structure are intertwined. This paper investigates the potential of leveraging quantum geometry to provide a theoretical basis for quantum computing and quantum information. We propose a novel approach by framing quantum entanglement as geometric "lines" or "shapes," employing geometric operations to describe the evolution of quantum states. This investigation introduces a new perspective on probability theory and geometry, potentially offering a more intuitive and powerful way to understand quantum systems. The paper outlines the core concepts, mechanisms, and preliminary results of this research, highlighting its significance for advancing both quantum information theory and the fundamental understanding of quantum mechanics.

DOI: 10.5281/zenodo.22271467

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