Title: Fractal Geometry-Based Quantum Entanglement Preservation
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, is notoriously fragile, susceptible to decoherence – a loss of quantum coherence due to interaction with the environment. Traditional methods for preserving entanglement often struggle with the inherent complexity of quantum systems and the unavoidable effects of measurement. This paper explores the application of fractal geometry – specifically, the concept of entanglement 'fractality' – as a novel approach to safeguarding quantum states. We propose a new method for generating highly correlated quantum states, utilizing a mathematical framework to quantify entanglement 'fractality' and guiding quantum circuit design to minimize decoherence. This investigation aims to advance our understanding of entanglement preservation and potentially unlock new avenues for quantum information processing.