Quantum-Inspired Topological Data Analysis (QITDA)
Jincheng Zhang
Abstract
Quantum-Inspired Topological Data Analysis (QITDA) introduces a novel data analysis technique predicated on the principles of topological data analysis (TDA). Traditional data analysis methods often fall short when confronted with intricate datasets, exhibiting limitations in identifying subtle patterns and structural relationships. QITDA aims to overcome these challenges by employing topological concepts to represent data, thereby enabling efficient and robust analysis. This paper details the core mechanism of QITDA, outlining the fundamental principles, implementation details, and potential applications of this innovative approach. We present a comprehensive overview of the theoretical framework and preliminary results demonstrating the effectiveness of QITDA in revealing hidden structures within complex datasets, significantly advancing the field of data analysis.