Non-Linear Geometric Groups: A Quantum Entanglement-Based Computation Framework

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel computational framework for analyzing non-linear geometric groups leveraging the principles of quantum entanglement. We propose a quantum-enhanced algorithm that accelerates the computation of crucial geometric group properties by exploiting the unique properties of entangled states. The core mechanism centers on utilizing entanglement to represent and manipulate geometric group structures, enabling significantly reduced computational complexity compared to traditional methods. The research demonstrates the potential of this approach to efficiently assess the behavior and properties of complex geometric groups, offering a promising avenue for advancing geometric analysis and related fields.

DOI: 10.5281/zenodo.22195316

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