Quantum Topology and High-Dimensional Data Compression
Jincheng Zhang
Abstract
Quantum Topology offers a fundamentally new approach to data compression by leveraging the intricate properties of quantum geometry. This paper introduces a novel data compression technique based on quantum topology, demonstrating its potential to significantly enhance data transfer efficiency and storage space through the manipulation of high-dimensional data structures. The core mechanism involves mapping high-dimensional data to a lower-dimensional subspace using quantum algorithms, effectively compressing the data while preserving critical information. We present a preliminary analysis of the technique's performance and potential applications, highlighting its advantages over existing methods. This work establishes a foundation for exploring the transformative impact of quantum topology in the field of data compression.