Adaptive Topology Mapping (ATM)
Jincheng Zhang
Abstract
This paper introduces Adaptive Topology Mapping (ATM), a novel algorithm for precise quantum state mapping. Traditional quantum state mapping methods often struggle with complex quantum states, requiring approximations that can lead to inaccuracies. ATM leverages the unique properties of quantum geometry – specifically, the ability to dynamically adjust the mapping based on the input state – to achieve a highly accurate and precise representation of the quantum state. ATM utilizes a self-adaptive mapping process driven by quantum geometry to achieve this precision. The paper details the core mechanism, the benefits of this approach, and provides a comprehensive overview of the implementation and results.