Title: Non-Euclidean Topology for Lattice-Based Quantum Computing

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper investigates the application of non-Euclidean topology to the design and analysis of lattice-based quantum computing architectures. The central claim is that leveraging topological principles offers a novel approach to improving quantum coherence and information processing within these systems. We explore how the inherent properties of non-Euclidean spaces can be exploited to construct more robust and adaptable quantum circuits. The paper details the core mechanisms involved, focusing on the transformation of lattice structures through topological operations and their impact on quantum entanglement and computation. The research aims to propose new architectures and computational paradigms based on this approach, addressing limitations inherent in traditional Euclidean geometries. This work contributes to the field of quantum computing by introducing a fundamentally different perspective on lattice structures and their potential for enhanced quantum performance.

DOI: 10.5281/zenodo.22520973

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