Quantum Entanglement Multi-Dimensional Geometry Analysis
Jincheng Zhang
Abstract
Quantum entanglement, traditionally viewed as a correlation between particles, possesses the potential to manifest within complex geometric structures in higher dimensions. This research explores the possibility that entanglement may form intricate geometric tensors, allowing for precise definition and computation of its properties, potentially unveiling novel quantum information processing algorithms. We introduce a novel quantum entanglement model based on multi-dimensional geometry, leveraging non-local quantum information theory to construct a dynamically evolving geometric tensor, and develop algorithms to precisely analyze entanglement's geometric characteristics. This work represents a significant departure from conventional quantum computation by focusing on the geometric properties of entanglement, offering a new perspective on its potential for manipulation and analysis.