Title: Quantum State Geometry Mapping and Information Theory
Jincheng Zhang
Abstract
This paper explores the intersection of quantum state geometry and information theory, proposing a novel method for encoding and transmitting quantum states through a geometric mapping framework. The core claim is that this approach simplifies the design and implementation of quantum information theory by leveraging the inherent relationships between quantum states and geometric structures. We introduce a new quantum information theory model centered around this geometric mapping, aiming to streamline the processes involved in quantum data processing and communication. The method utilizes a framework that explicitly connects the geometric properties of a quantum state with the underlying information-theoretic principles. This research investigates the potential advantages of this approach, particularly in terms of reduced computational complexity and enhanced robustness. The paper concludes with a discussion of the theoretical implications and potential applications of this geometric mapping technique.