Quantum State Geometry Mapping
Jincheng Zhang
Abstract
Quantum State Geometry Mapping (QSGM) is a novel approach to quantum state representation and computation, aiming to translate complex quantum states into geometric spaces. This paper introduces a method leveraging geometric optimization to enhance the processing and analysis of high-dimensional quantum states. The core principle is to map a quantum state to a geometric structure, allowing for efficient calculation and analysis through geometric optimization techniques. We present a framework for mapping quantum states to higher-dimensional geometric spaces, demonstrating its potential to improve computational efficiency and provide new insights into quantum systems. This work contributes to the advancement of quantum algorithms and offers a unique perspective on the representation and manipulation of quantum states.