Nonlinear Geometric Topology Structures and Quantum Information Integration

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the synergistic potential of nonlinear geometric topology structures and quantum information processing, investigating how to leverage the inherent properties of geometry to optimize quantum computation. We propose a novel approach that utilizes adaptive geometric transformations to map quantum states onto specific topological structures, thereby fostering internal simulation and optimization mechanisms within the quantum system. The core claim is that integrating non-linear geometry with quantum information processing can unlock new algorithmic and hardware architectures for quantum computing, offering a fundamentally different perspective on computation. This work investigates the potential for these transformations to enhance quantum state fidelity, resilience to noise, and overall computational efficiency. The paper details the proposed methodology, presents preliminary results demonstrating the effectiveness of the integrated approach, and discusses future research directions.

DOI: 10.5281/zenodo.22199856

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