Quantum State Representation via Graph-Based Geometry
Jincheng Zhang
Abstract
Quantum State Representation via Graph-Based Geometry explores the application of graph-based geometry to model and analyze quantum states. This paper investigates the design and implementation of a novel method for representing quantum states as nodes and edges within a graph, thereby providing a powerful framework for examining quantum information and facilitating efficient traversal and analysis. The core mechanism centers around the inherent structure of graphs – their connectivity, properties, and the ability to represent complex relationships – to offer a fundamentally different approach to quantum state representation. This research aims to establish a robust and adaptable method, enhancing our understanding and capabilities in the field of quantum information.