Quantum Entanglement's Non-Classical Geometry Model
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, offers a unique paradigm for computation and information processing. This paper explores the potential of leveraging this phenomenon through the development of novel geometric models, specifically designed to harness the inherent properties of entangled quantum systems. We propose a new approach that utilizes non-classical geometry to fundamentally reshape probability logic and arithmetic operations, aiming to overcome the limitations of current quantum computing paradigms. The core mechanism centers around constructing geometric structures that encode and manipulate quantum information in a fundamentally different way, expanding the possibilities for quantum algorithm design and enabling new computational paradigms. This research addresses the inherent challenges of leveraging entanglement for practical applications, potentially leading to breakthroughs in quantum information theory and algorithm development.