拓扑几何的量子信息编码算法

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum information is a fundamental resource in modern technology, and efficient data storage and transmission are crucial for its widespread adoption. Traditional quantum information encoding methods often rely on classical bits, which suffer from limitations in terms of density and speed. This paper proposes a novel quantum information encoding algorithm based on topological geometry, aiming to enhance quantum information transmission efficiency. We outline the core mechanism, exploring how topological properties of quantum states can be leveraged for enhanced encoding and decoding processes. The proposed algorithm presents a potential advancement over existing techniques, specifically focusing on the transformative role of topological structures in quantum data management. This research investigates the implications of this approach, aiming to address challenges related to information density and transmission rates.

DOI: 10.5281/zenodo.22466638

Related papers

Quantum Topology Information Encoding

Jincheng Zhang

This paper investigates the potential of quantum topology information encoding, exploring its theoretical foundations and practical implementation. The central research question is to design a data storage and transmission framework leveraging the unique properties of quantum topology to enhance efficiency. Traditional data storage methods primarily focus on entropy, and this work proposes a novel approach utilizing topological structures for improved data representation and transfer. The core mechanism centers on encoding quantum information within topologically protected states, enabling efficient data storage and transmission through the manipulation of these states. We outline a theoretical framework and preliminary design for this data storage and transmission system, emphasizing the advantages of topology in enhancing information density and resilience. The paper concludes with a discussion of future research directions and potential applications.

Aug 31, 20260 citations

Topological Quantum Information Encoding (TQI)

Jincheng Zhang

This paper introduces the Topological Quantum Information Encoding (TQI) method, a novel approach to quantum information processing focused on leveraging the inherent topological properties of quantum states. Traditional methods often struggle with the limitations of qubit entanglement and the difficulty in efficiently encoding and transmitting complex quantum information. TQI addresses these challenges by employing a structured encoding scheme that utilizes topological quantum states to achieve enhanced storage, transmission, and processing capabilities. The paper details the core mechanism of TQI, highlighting its potential to significantly improve the efficiency of quantum information management. We present preliminary results demonstrating the effectiveness of the TQI method in encoding and manipulating quantum states, showcasing its promise for advancing quantum technologies.

Sep 7, 20260 citations

Core Claim: Researching dynamic information encoding based on geometric topology, aiming to enhance quantum data transmission in quantum computing and quantum communication through the utilization of quantum entanglement and geometric properties.

Jincheng Zhang

This paper introduces a novel approach to quantum data transmission leveraging geometric topology. Quantum data encoding, traditionally focused on classical data, is reimagined to utilize the unique properties of geometric topology to create robust and efficient quantum communication channels. The core mechanism centers on encoding data as quantum states, and exploiting the inherent correlations of quantum entanglement to achieve enhanced security and increased data transfer rates. This work investigates the potential of geometric topology to revolutionize quantum communication, offering a fundamentally different approach compared to existing techniques. We demonstrate the feasibility of encoding complex data structures using geometric topology, specifically focusing on minimizing the number of qubits required for transmission and maximizing the fidelity of the encoded data. The study explores various geometric topologies and their corresponding impact on the security and efficiency of quantum data transfer, ultimately proposing a robust framework for dynamic information encoding within quantum systems. The research utilizes a combination of theoretical analysis and numerical simulations to validate the proposed methodology, highlighting its potential for significant advancements in quantum communication. The analysis considers various geometric topologies, including hyperbolic geometry and projective geometry, and their implications for data security and transmission rates. We present preliminary results demonstrating improved data security and enhanced transmission rates compared to existing methods, showcasing the practical viability of this geometric topology-based approach. Further research will focus on refining the encoding process and exploring the application of this technique to more complex data types.

Sep 5, 20260 citations

##拓扑信息论的量子化扩展

Jincheng Zhang

This paper investigates the potential of quantum information theory to significantly expand the capabilities of data storage and computation. We explore the integration of quantum information processing, specifically through the manipulation of topological structures, to achieve unprecedented levels of efficiency. The core claim posits that quantum entanglement, driven by the unique properties of topological quantum information, can be harnessed to overcome the limitations of classical computation, offering a paradigm shift in data handling and algorithmic power. This work examines the design of a novel topological data structure, the implementation of quantum entanglement-based encoding and transmission protocols, and the theoretical implications of this approach. We highlight the potential benefits of this approach, including enhanced data storage density, faster data transfer rates, and the ability to perform complex computations requiring significant computational resources. The paper concludes with a discussion of the challenges and future directions for research in this rapidly evolving field.

Aug 31, 20260 citations

Core Claim: A Quantum-Adaptive Topology Transform Algorithm constructs and manipulates topological structures through quantum self-adaptations, enabling quantum information encoding and transmission, and exploring the capacity of quantum states.

Jincheng Zhang

Quantum information processing offers unprecedented opportunities for secure communication and data storage due to the inherent properties of quantum mechanics. This paper investigates the application of quantum self-adaptations to topology, exploring a novel algorithm for transforming topological structures. We propose a quantum-adaptive topology transform algorithm that leverages quantum self-adaptations to effectively encode and transmit quantum information. The algorithm's core mechanism involves a dynamic reshaping of topological relationships, optimizing for information preservation and enhanced transmission efficiency. This research aims to advance the field of quantum information theory by demonstrating the practical utility of this approach in constructing and manipulating topological structures. The exploration of quantum state encoding capabilities is a key focus, seeking to unlock the full potential of quantum information. This work presents a theoretical framework and preliminary experimental validation of the proposed algorithm. The significance of this research lies in its potential to develop robust and efficient quantum communication protocols based on advanced topological transformations.

Aug 31, 20260 citations

自适应量子拓扑的量子信息编码

Jincheng Zhang

This paper presents a novel quantum information encoding scheme based on the principles of self-adaptive quantum topology. We explore the potential of leveraging quantum topology to enhance the efficiency of quantum data transmission and storage. The core concept revolves around an "adaptive quantum topology encoding" mechanism, which utilizes the inherent properties of quantum topology to optimize the encoding process. The study investigates the advantages of this approach compared to existing quantum information encoding methods. The research focuses on demonstrating the feasibility and potential impact of this new technique on quantum information processing. The proposed mechanism offers a pathway toward more robust and efficient quantum information handling.

Aug 31, 20260 citations