Quantum Topology Adaptive Space Mapping (QATSM)
Jincheng Zhang
Abstract
Quantum Topology Adaptive Space Mapping (QATSM) is a novel algorithm designed to precisely map quantum states utilizing the principles of quantum topology. This paper explores the potential of leveraging quantum geometry to achieve accurate and detailed modeling of quantum states. The core mechanism of QATSM involves an adaptive space mapping approach, allowing for a more nuanced and precise transformation of quantum states compared to traditional mapping methods. The study addresses the challenge of accurately representing and manipulating quantum states, offering a potentially transformative approach to quantum information processing. The paper details the algorithm's design, mathematical foundations, and preliminary results, highlighting the benefits of its adaptive nature.