Probability Geometry: A Quantum Theory of Geometric Quantization

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the application of probabilistic geometry to the theoretical framework of quantum computation, specifically focusing on the development of a quantum geometric quantization model. We propose a novel approach that integrates geometric structures and probabilistic logic to provide a deeper understanding of quantum systems and to guide the optimization of quantum algorithms. The core mechanism centers around representing quantum states as probability distributions, allowing for a more nuanced and robust analysis of quantum phenomena. This framework offers a new perspective on the design and analysis of quantum algorithms, potentially unlocking significant advancements in computational complexity.

DOI: 10.5281/zenodo.22297312

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