Based on Quantum Entanglement: Geometric Topology

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum entanglement, a fundamental phenomenon in quantum mechanics, has captivated researchers and fueled significant interest in its potential applications. This paper explores the intersection of quantum entanglement and geometric topology, proposing a novel model that leverages entanglement to simulate the evolution of topological structures and investigate its impact on geometric properties. The research aims to investigate how entanglement, a non-classical correlation, can influence the formation and stability of geometric topologies, potentially offering insights into the design of novel quantum algorithms and quantum information protocols. We present a theoretical framework that utilizes quantum computation to model geometric transformations induced by entanglement, with the goal of uncovering new patterns and properties of topological spaces. The core mechanism centers around the simulation of entanglement-induced topological phase transitions, and its potential to reveal hidden geometric structures.

DOI: 10.5281/zenodo.22639146

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