Quantum Entanglement-Based Non-Euclidean Geometry Verification
Jincheng Zhang
Abstract
This paper investigates the fundamental principles of non-Euclidean geometry through the application of quantum entanglement. We propose a novel verification method predicated on the observed correlations inherent in entangled quantum states, aiming to validate geometric structures exhibiting quantum entanglement. The core mechanism centers on leveraging these correlations to determine geometric properties and, potentially, facilitate quantum information transfer. This work explores the potential of this approach to redefine geometric understanding within the context of quantum mechanics.