Probability Geometry of Quantum States: A Novel Approach to Quantum Computing

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper introduces a novel framework combining probability geometry and quantum computing, aiming to uncover latent mathematical properties and computational efficiency within quantum states. We establish a probabilistic model for quantum states, leveraging its inherent distributions to analyze the complexities of quantum computation. The core mechanism involves mapping quantum state distributions to probability geometric structures, enabling the discovery of optimized quantum algorithms. This work presents a new perspective on quantum state analysis and offers a pathway toward enhanced quantum algorithms through the integration of these two fields.

DOI: 10.5281/zenodo.22452663

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