High-Order Geometry and Quantum Information Encoding
Jincheng Zhang
Abstract
This paper explores the potential of high-order geometry as a foundation for quantum information encoding. We propose a novel framework leveraging geometric structures to represent and manipulate quantum states, aiming to deepen our understanding of quantum information itself. The core mechanism involves utilizing high-order geometric properties to induce specific quantum behavior within a system. This investigation addresses the potential of high-order geometry to provide a new and potentially transformative approach to quantum information processing. This work focuses on the design of a quantum information encoding scheme predicated on the inherent geometric properties of quantum systems.