拓扑信息论的量子化结构

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the integration of topology into quantum information processing, proposing a novel computational framework centered around a quantum system governed by topological structures. We outline a design for a quantum computation engine leveraging self-correlation within quantum states, guided by topological principles to enhance algorithm efficiency. The core claim is that this approach offers a pathway toward exceeding the limitations of classical quantum computation by introducing a fundamentally new computational paradigm. The research delves into the potential of utilizing topological properties to guide quantum process execution, thereby facilitating the development of complex algorithms with improved performance. This work seeks to establish a theoretical foundation for quantum computation by integrating topology as a core design element.

DOI: 10.5281/zenodo.22264050

Related papers

Core Claim: Building a Quantum Computing Framework Based on Topological Structures, Utilizing Quantum Entanglement and Topological Properties, to Enhance the Efficiency of Quantum Algorithms and Expand Computational Capabilities, Particularly in Handling Complex Topological Data Structures.

Jincheng Zhang

Quantum computing holds immense promise for revolutionizing various fields, but its practical application is hampered by limitations in algorithm efficiency and computational power, particularly when dealing with complex data structures. This paper introduces a novel quantum computing framework, the "Topological Quantum Computing Framework," predicated on the principles of quantum entanglement and topological properties. The framework aims to address these limitations by introducing a novel "Topological Quantum Entanglement" mechanism, which leverages topological properties to optimize quantum algorithm execution and improve the utilization of quantum entanglement. This approach offers a fundamentally new pathway towards enhanced efficiency and scalability in quantum computation, especially when applied to the analysis and manipulation of intricate topological data structures. The core mechanism centers around the creation and manipulation of topological quantum states, enabling novel quantum algorithms with significantly increased computational performance. We explore the potential of this framework for tackling complex problems and demonstrate its efficacy through illustrative examples. The research contributes to a deeper understanding of the intersection of quantum mechanics and computational complexity, paving the way for the development of more powerful and versatile quantum algorithms.

Sep 4, 20260 citations

##拓扑量子纠缠理论

Jincheng Zhang

This paper investigates the theoretical framework for exploring and utilizing quantum entanglement in a novel context: the integration of topological quantum mechanics with quantum computation. We propose a new conceptual model, termed "Quantum Topological Field Theory" (QTFT), that leverages the inherent properties of topological states to enhance quantum entanglement and provide a pathway toward exceeding the limitations of classical computation. The core of this research focuses on designing a quantum state capable of self-sustained and extended entanglement, and establishing a quantum computing platform to facilitate the implementation of ultra-high-density quantum computation. The potential impact of this approach lies in fundamentally altering the landscape of quantum information processing, offering a paradigm shift towards computation beyond the capabilities of current technologies.

Aug 31, 20260 citations

拓扑结构与量子算法

Jincheng Zhang

This paper investigates the application of topological structures in quantum algorithms, aiming to enhance their efficiency and reliability. We explore the potential of utilizing topological properties to design novel quantum algorithms that offer significant advantages over traditional approaches. The core mechanism focuses on leveraging topological invariants to guide quantum computation, reducing the need for complex optimization and improving overall performance. The study analyzes various topological concepts and their implications for quantum algorithm design, proposing a new algorithm predicated on these principles. This work presents a conceptual framework for integrating topological analysis into quantum algorithm development, demonstrating the potential of this approach to advance the field. The paper concludes with a discussion of future research directions and the challenges associated with implementing this concept.

Aug 31, 20260 citations

Topology-Aware Quantum Algorithm Design

Jincheng Zhang

This paper investigates the integration of topology into quantum algorithm design, aiming to enhance the efficiency and robustness of quantum computations. The core claim is to develop a method for systematically mapping quantum states to topological structures, thereby facilitating the creation of quantum algorithms that optimally exploit these inherent properties. We propose a framework leveraging the interplay between quantum states and topological invariants to guide the design of novel quantum algorithms. The research emphasizes the crucial role of topology in shaping quantum system behavior and offers a potential pathway toward significant improvements in computational capabilities. Specifically, we demonstrate the practical implications of this approach through a theoretical analysis and preliminary implementation of a simplified quantum algorithm. This work contributes to the advancement of quantum information theory by addressing a fundamental challenge in algorithm design – the exploitation of topological structures within quantum systems.

Sep 2, 20260 citations

基于动态拓扑的量子计算推理引擎

Jincheng Zhang

Quantum computation offers the potential for exponentially faster computations compared to classical computing, but the development of complex quantum algorithms remains a significant challenge. This paper introduces a novel quantum computation reasoning engine based on dynamic topology, aiming to automate the generation of quantum algorithms through a sophisticated, self-organizing structure. We propose a framework leveraging the inherent topological properties of quantum systems to guide the reasoning process. This engine will intelligently explore potential quantum states and move towards optimal solutions, significantly streamlining the quantum algorithm design process. The core mechanism centers around constructing and manipulating the quantum system using dynamically evolving topology, promoting efficient and novel exploration of the solution space. This research presents a new approach to quantum computation reasoning, potentially revolutionizing the field by reducing the need for manual algorithm design and facilitating the discovery of new quantum solutions.

Sep 4, 20260 citations

Topological Information-Driven Quantum Computer Topology Quantum Computing

Jincheng Zhang

This paper explores the potential of topological information-driven quantum computing, a novel approach leveraging the inherent structure of topological quantum systems to enhance computational efficiency. We introduce a new quantum algorithm designed to optimize quantum computations by strategically utilizing the relationships between nodes and edges within a topological framework. The core claim centers on the transformative impact of topological structure as the foundational element of a quantum computer, enabling a significant improvement in computational performance compared to classical approaches. We detail the methodology, explain the underlying principles, and present preliminary results demonstrating the efficacy of this technique.

Sep 2, 20260 citations