Probability Logic Quantum Computing: A Geometric Extension

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the development of a novel probabilistic quantum computing framework, termed a Geometric Extension, designed to enhance the capabilities of quantum computation beyond traditional linear algebra. The core idea centers around leveraging quantum superposition and entanglement to model and simulate more complex geometric structures and quantum systems. We introduce a new geometric algorithm based on quantum superposition and entanglement, which allows for the efficient exploration of geometric spaces and the simulation of intricate patterns. The paper details the design of this algorithm, its potential advantages, and a preliminary examination of its efficacy in tackling specific geometric problems. We argue that this geometric extension represents a significant step towards unlocking new applications of quantum computation, particularly in areas requiring the representation and manipulation of geometric data.

DOI: 10.5281/zenodo.22516331

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