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Quantum State Compression via Topological Quantum Spines

Jincheng Zhang

Published Sep 2, 2026• 0 citations
Publisher

Abstract

Quantum state compression is a crucial challenge in quantum information science, aiming to significantly reduce the volume of quantum states required for storage and transmission. Traditional approaches often rely on complex algorithms and significant computational resources. This paper proposes a novel quantum state compression technique based on topological quantum spines, leveraging the unique properties of topology to efficiently compress quantum states. We detail the core mechanism of the method, including the utilization of quantum entanglement and topological transformations to identify and eliminate redundant information within the quantum state. Our analysis demonstrates that this approach offers improved efficiency and potential applications compared to existing quantum compression methods. The study explores the theoretical foundations of the proposed technique and presents preliminary experimental results to validate its effectiveness.

DOI
10.5281/zenodo.22243470

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This paper investigates the potential of utilizing quantum topology for efficient data compression, specifically focusing on the design and implementation of a novel algorithm. The core concept revolves around leveraging the unique properties of quantum topology to compress data, resulting in reduced storage and transmission requirements. We explore the theoretical foundations and practical considerations of this approach, highlighting its potential to revolutionize data handling within the quantum information landscape. The research aims to demonstrate the efficacy of this methodology through a detailed analysis and simulation, emphasizing the benefits of this approach compared to traditional compression techniques.
This paper explores the application of topological information encoding as a novel approach to data compression and transmission, particularly within the context of complex quantum systems. Traditional data encoding methods often focus on representing data mathematically, while this work leverages the inherent properties of topological structures to achieve superior compression and transmission efficiency. We present a methodology that encodes quantum states directly into topological graphs, exploiting the graph's inherent structure to minimize redundancy and enhance data representation. The paper details the core mechanisms, the potential advantages of this approach, and preliminary results demonstrating its effectiveness in a simplified quantum context. The goal is to investigate a paradigm shift in data compression techniques, offering a more robust and potentially transformative solution for handling complex quantum data.
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