Non-Euclidean Geometry and Quantum Computing: A Research Proposal
Jincheng Zhang
Abstract
This research proposes a novel exploration of non-Euclidean geometry and its potential application to quantum computing. We investigate a specific topological transformation based on non-Euclidean principles to enhance quantum entanglement and key distribution capabilities. The core mechanism centers on simulating quantum entanglement through a fundamentally different geometric framework, offering potential advantages over traditional quantum computing approaches. This work aims to contribute to the advancement of quantum information processing by leveraging the unique properties of non-Euclidean geometry.