Quantum Entanglement Topological Encoding

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum information storage and transmission leveraging the principles of quantum entanglement and topological protection. The core idea centers around constructing topologically protected quantum bits (QBs) based on non-Abelian entangled states. These states, shielded by topological defects, provide inherent robustness against local perturbations, leading to enhanced stability and fidelity in quantum information storage and transmission. We detail the theoretical framework, focusing on the manipulation and control of these entangled states. The proposed system offers a pathway to mitigate the detrimental effects of environmental noise, a significant hurdle in the practical realization of quantum technologies. Specifically, we explore the encoding scheme using the braiding of quasiparticles in a topological superconductor to generate and maintain non-Abelian anyons, which are the building blocks of our QBs. We examine the key metrics – fidelity and error rates – and demonstrate a potential for achieving high-fidelity, fault-tolerant quantum information processing. This research contributes to the burgeoning field of topological quantum computing, offering a promising route toward scalable and reliable quantum devices. ---

DOI: 10.5281/zenodo.22269404

Related papers

Quantum Entanglement Information Encoding and Topological Networks

Jincheng Zhang

This paper proposes a novel information encoding scheme leveraging quantum entanglement within a topological network architecture. The core idea centers on utilizing the non-local nature of quantum entanglement to achieve highly redundant and fault-tolerant storage and transmission of information. The scheme constructs a physical network with a specifically designed topology, encoding information into entangled states between nodes. The network's topological properties are then exploited to bolster the stability and scalability of these entangled states. We demonstrate the potential of this approach to overcome limitations inherent in traditional encoding methods, offering superior resilience to errors and enhanced scalability for quantum information processing. The proposed framework utilizes topological protection to ensure robust quantum information storage and transmission. The key mathematical concepts underpinning the encoding scheme are presented, focusing on entangled state preparation, network connectivity, and error correction strategies. Ultimately, this work contributes to the advancement of quantum communication and computation by providing a viable architecture for reliable quantum information handling.

Sep 5, 20260 citations

基于拓扑量子计算的容错编码设计

Jincheng Zhang

This paper explores the design of a fault-tolerant encoding scheme specifically tailored for topological quantum computing. The central premise is to leverage the inherent robustness of topological protection against decoherence, a primary challenge in realizing practical quantum computers. We propose a scheme utilizing non-Abelian anyons, exotic quasiparticles found in topological superconductors, to construct a robust quantum code. The core concept involves encoding quantum information within the braiding operations of these anyons, where the resulting topological transformations inherently protect against local errors. The scheme's efficacy relies on the topological protection mechanism, effectively mitigating errors arising from environmental noise and imperfections in qubit control. This work provides a theoretical foundation for utilizing topological quantum computing to achieve high-fidelity quantum computation. The key mathematical elements explored include qubit states, braiding operations, and the mathematical description of the topological protection effect.

Sep 7, 20260 citations

Quantum Entanglement-Based Information Encoding and Decoding with Topological Protection

Jincheng Zhang

This paper investigates a novel approach to quantum information encoding and decoding leveraging the principles of topological protection using multi-body quantum entanglement systems. The core concept involves encoding quantum information within topologically protected states, primarily utilizing topological defects such as magnetic vortices, and employing the inherent entanglement properties to provide robust protection against environmental decoherence. We explore the manipulation of these states through external control fields (magnetic and electric) to achieve reliable read and write operations. The theoretical framework presented demonstrates a pathway towards highly resilient quantum information processing, significantly mitigating the challenges posed by decoherence in quantum computing. Specifically, we analyze the robustness of the encoded information against various noise sources, quantifying the protection level achieved through topological features. The proposed method offers a promising route for developing practical quantum computers with enhanced fault tolerance.

Sep 2, 20260 citations

Topological Protection of Quantum Qubits

Jincheng Zhang

This paper investigates the potential of utilizing topological protection for quantum qubit storage, addressing a critical challenge in the development of practical quantum computing. Current approaches to mitigating decoherence in qubits often rely on physical isolation, which can be complex and introduce new vulnerabilities. This work proposes a novel strategy leveraging anyons within topological insulators to provide robust protection against decoherence. The core concept involves encoding quantum information using the non-Abelian braiding of anyons, inherently safeguarding against local perturbations. We explore the theoretical framework, detailing the mechanisms and potential challenges associated with this approach. This research highlights a promising alternative for achieving enhanced qubit storage stability and contributes to the advancement of topologically protected quantum computing. The key formulas and mathematical notations are presented in plain text.

Aug 28, 20260 citations

Topological Protection of Quantum Error Correction

Jincheng Zhang

This paper investigates the application of topological protection to enhance quantum error correction, ultimately aiming for increased reliability in quantum information transmission and storage. The core concept revolves around encoding quantum bits (qubits) within topological defects, specifically leveraging the robust protection offered by these defects against local disturbances. We explore theoretical frameworks where topological protection fundamentally alters the error correction landscape, moving beyond traditional approaches reliant on local control and measurement. The study details how the inherent symmetries and conserved quantities associated with topological defects create a resilient environment for qubits, effectively mitigating the detrimental effects of decoherence and noise. Mathematical models are presented to illustrate the principles of topological error correction, including the concept of topological codes and their ability to detect and correct errors without directly measuring the qubits themselves. The paper concludes with a discussion on the challenges and future directions in realizing practical topological quantum computers, emphasizing the need for controlled manipulation and characterization of topological defects.

Aug 31, 20260 citations

Quantum Entanglement States Protected by Topology and Information Storage

Jincheng Zhang

This paper investigates a novel approach to enhancing the stability and storage capabilities of quantum entanglement states by leveraging topological protection. The core idea centers around manipulating the geometric topology of quantum systems to create a protective barrier against decoherence, a primary source of quantum information loss. We propose a framework where specific topological structures are engineered to shield entangled states, significantly extending their coherence times and improving their resilience to environmental perturbations. The theoretical framework outlines the design principles and mathematical formalism for achieving robust topological protection of entanglement. We explore the potential for utilizing this method in practical quantum information storage applications. The key elements involve constructing systems with non-trivial topological invariants, which effectively isolate the entangled states from external disturbances. This work provides a foundational understanding and a potential pathway towards developing more reliable and scalable quantum storage devices.

Aug 28, 20260 citations