拓扑信息论的量子几何化

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the synergistic potential between topology and information theory, proposing a novel architecture for quantum computation and communication underpinned by a quantum geometric framework. We argue that traditional quantum algorithms are limited by the inherent complexity of quantum states and require substantial computational resources. This work introduces a new paradigm by integrating topological properties into quantum state representation, leveraging these properties to enable efficient information encoding, robustness, and novel processing paradigms. The core mechanism involves constructing a 'quantum geometric' framework, allowing for the quantification and manipulation of quantum information through topological principles. We demonstrate the feasibility and potential advantages of this approach, suggesting it offers a pathway toward exceeding current limitations in quantum computation and communication.

DOI: 10.5281/zenodo.22444717

Related papers

拓扑信息论的量子化结构

Jincheng Zhang

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.

Sep 3, 20260 citations

拓扑量子纠缠的理论化建模

Jincheng Zhang

The study of quantum entanglement, traditionally focused on the superposition of quantum states, holds the potential to extend beyond simple quantum states to encompass complex topological structures. This paper explores the theoretical modeling of quantum entanglement through the lens of topology, proposing a novel framework for quantum information processing. We argue that the inherent properties of topological spaces offer a unique computational landscape, allowing for the encoding, manipulation, and optimization of quantum information at a fundamental level. The core claim centers on the development of a computational framework that leverages topological structures to achieve global quantum information optimization. This work represents a significant departure from traditional approaches, offering a potentially transformative pathway for quantum computation.

Sep 1, 20260 citations

基于弦理论的拓扑量子计算框架

Jincheng Zhang

This paper presents a novel framework for quantum computing leveraging the principles of string theory. We propose a quantum computation paradigm predicated on the inherent topological properties of strings, aiming to enhance quantum precision and computational capabilities. The core mechanism involves designing quantum bits (qubits) based on these topological structures, utilizing their inherent properties to facilitate quantum entanglement and optimization within the quantum computation process. Traditional approaches often focus on the manipulation of individual qubits, whereas this work explores a fundamentally different approach rooted in the topological structure of strings. The resulting framework offers a potential pathway towards more robust and scalable quantum computation, addressing limitations inherent in current quantum computing architectures.

Sep 1, 20260 citations

Title: Topological Information Theory – Quantum Geometry and Computation

Jincheng Zhang

This paper explores the intersection of topology, geometry, and computation, proposing a novel computational paradigm based on quantum geometry. We investigate how quantum topology, specifically through quantum geometry, can be leveraged to achieve precise quantum simulation and algorithm validation. The core mechanism involves encoding quantum states using topological structures and utilizing quantum effects for optimization and verification. The work addresses a gap in current computational methods by offering a fundamentally different approach to quantum information processing, potentially offering increased precision and efficiency compared to traditional methods. This research lays the groundwork for a new era in quantum computation, leveraging the principles of topology to create robust and adaptable quantum algorithms.

Sep 3, 20260 citations

Geometric Topology and Quantum Computing: A Synergistic Approach

Jincheng Zhang

The convergence of geometric topology and quantum computing presents a compelling avenue for advancing computational power and unlocking novel algorithmic possibilities. This paper explores the synergistic potential of this intersection, investigating how quantum computation can accelerate geometric topology calculations and conversely, how geometric topology principles can be leveraged to design quantum algorithms. We detail a novel framework that integrates these two disciplines, demonstrating the significant benefits of leveraging quantum mechanics to enhance geometric analysis. The core claim posits that this integration will yield substantial improvements in computational efficiency and accuracy, enabling the exploration of complex simulations and the development of more robust quantum algorithms. This work serves as a foundation for future research and development in both fields.

Aug 31, 20260 citations

基于动态量子态的拓扑场论

Jincheng Zhang

This paper explores the potential of dynamic quantum states as a foundation for a novel topology field theory. We propose a framework that leverages the inherent self-organizing properties of quantum states to enable efficient storage and transmission of quantum information. The core mechanism involves a computational process that optimizes quantum state parameters, ultimately constructing a topological structure capable of encoding and manipulating quantum information. This work investigates the implications of this approach for quantum information processing, highlighting potential advancements in quantum cryptography, quantum simulation, and quantum machine learning. The study focuses on the fundamental principles of dynamic quantum states and their connection to topology, aiming to provide a theoretical foundation for exploring novel quantum information paradigms.

Aug 29, 20260 citations