Title: Non-Euclidean Probability Space Modeling for Quantum Information

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum information theory grapples with the intricacies of quantum systems, often relying on the standard Euclidean probability space to describe their evolution. However, the inherent non-linearity and superposition properties of quantum systems pose a significant challenge to this framework. This paper explores the potential of non-Euclidean probability space modeling as a transformative approach to quantum information representation, offering a novel geometric framework to capture and analyze quantum states. This work aims to formalize probability space modeling in a non-Euclidean setting, specifically designed to address the limitations of Euclidean approaches and unlock new avenues for understanding quantum behavior.

DOI: 10.5281/zenodo.22276713

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