基于量子纠错码的分布式算法容错性分析

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper investigates the resilience of distributed algorithms against errors, a critical challenge in quantum computing and networked systems. We propose a novel approach to analyzing the fault tolerance of distributed algorithms by leveraging the principles of quantum error-correcting codes (QECCs). Specifically, we develop a framework for quantifying the error correction capabilities of QECCs in the context of distributed algorithms, considering factors such as code distance, decoding efficiency, and network topology. Our analysis provides a rigorous method for evaluating and optimizing distributed algorithms for enhanced reliability. The core of our work lies in translating the theoretical properties of QECCs into practical metrics for assessing algorithmic robustness, and we present a methodology for guiding algorithm design based on these metrics. The results of our analysis demonstrate the potential to significantly improve the resilience of distributed algorithms through strategic code selection and network configuration. We aim to provide a foundational understanding for designing fault-tolerant distributed systems utilizing quantum technologies.

DOI: 10.5281/zenodo.22226731

Related papers

基于量子纠错码的分布式系统容错性增强

Jincheng Zhang

This paper investigates the enhancement of fault tolerance in distributed systems by leveraging quantum error correction codes. The core claim is that incorporating quantum error correction codes significantly improves the resilience of distributed systems operating in noisy environments. The proposed mechanism involves deploying quantum error correction codes among the nodes of a distributed system, enabling the detection and correction of errors affecting individual quantum bits. Unlike traditional redundancy-based approaches, this method offers a more efficient and resource-conscious strategy for achieving fault tolerance. We explore the theoretical framework and potential benefits of this approach, focusing on the key aspects of quantum error correction code implementation and its impact on distributed system reliability. The system is characterized by its ability to mitigate the detrimental effects of noise, leading to improved data transmission and overall system stability. This work provides a foundational understanding of utilizing quantum error correction codes to address the critical challenges of fault tolerance in distributed systems.

Sep 6, 20260 citations

##基于量子纠错码的分布式计算架构

Jincheng Zhang

This paper proposes a novel distributed computing architecture leveraging quantum error-correcting codes for robust and scalable quantum computation. The core idea is to utilize the inherent error correction capabilities of these codes within a distributed setting, mitigating the challenges associated with maintaining qubit coherence over long distances and facilitating large-scale quantum processing. We detail a framework where multiple quantum processors, interconnected via quantum channels, employ a specific quantum error-correcting code to encode and decode quantum information. This approach directly addresses the key limitations of current quantum computing architectures, offering a pathway towards achieving fault-tolerant quantum computation. The architecture is designed to enhance resilience against noise and errors, a critical factor for practical quantum computation. The theoretical framework presented outlines the key components and operational principles, focusing on the encoding and decoding process using a chosen quantum error-correcting code. We provide a mathematical analysis of the system, detailing the redundancy introduced by the code and the impact on computational complexity. The architecture's potential for scaling to larger quantum systems and its implications for various quantum algorithms are discussed. This work represents a significant step towards realizing the full potential of distributed quantum computing.

Aug 31, 20260 citations

基于量子纠错码的分布式计算网络

Jincheng Zhang

This paper investigates the application of quantum error correction codes within a distributed computing network to achieve reliable quantum information transmission and computation. Traditional distributed computing networks are inherently vulnerable due to the fragility of quantum states. This research proposes a novel architecture leveraging quantum error correction codes to protect and repair quantum information, thereby enabling robust quantum computation. The core claim is that utilizing quantum error correction codes in distributed networks provides a pathway to scalable quantum computing. The central mechanism involves designing a network structure that exploits the error-correcting capabilities of these codes. This approach addresses the fundamental challenges of decoherence and noise, crucial for realizing practical distributed quantum systems. We explore key concepts such as code distance, syndrome decoding, and network topology optimization to demonstrate the feasibility and potential of this system. This work lays a foundational understanding for future research and development in building resilient and scalable distributed quantum computing infrastructures.

Aug 28, 20260 citations

基于量子纠错码的分布式内存系统

Jincheng Zhang

This paper proposes a novel distributed memory system leveraging the principles of quantum error-correcting codes (QECCs) to achieve high fault tolerance. The core idea involves encoding data into a QECC, followed by employing quantum error correction algorithms for error detection and correction. This approach significantly enhances the reliability and security of data storage and transmission compared to traditional methods. We outline the system architecture, the encoding and decoding process using specific QECCs, and the error correction protocols. The system's performance is theoretically analyzed, demonstrating its potential to overcome the limitations of classical distributed memory systems in the face of noise and decoherence. The key contribution lies in the integration of QECCs directly into the design of a distributed memory system, offering a pathway towards robust quantum data storage. Further research will focus on optimizing the system for practical implementation and exploring the use of different QECCs tailored to specific application requirements.

Aug 31, 20260 citations

基于量子纠错码的分布式数据库管理

Jincheng Zhang

This paper proposes a novel approach to distributed database management leveraging quantum error correction codes (QECCs). Traditional distributed databases face significant challenges in data reliability and fault tolerance, particularly with increasing data volumes and complex query processing. This research explores the application of QECCs to encode and decode database data, thereby enhancing data integrity during transmission and storage. The core claim is that the utilization of QECCs can dramatically improve the robustness and reliability of distributed database systems. This work details the theoretical framework, focusing on the encoding and decoding processes using specific QECC families. The key mechanism involves the redundancy introduced by QECCs, allowing for the detection and correction of errors without requiring complete data reconstruction. This approach offers a potential solution to the inherent limitations of classical distributed databases. Further investigation into practical implementation considerations and performance analysis is warranted.

Aug 28, 20260 citations

Quantum Error Correction Codes for Distributed Quantum Computing

Jincheng Zhang

This paper explores the application of quantum error correction (QEC) codes within a distributed quantum computing framework. The core claim is that leveraging the inherent redundancy of QEC codes facilitates the construction of a fault-tolerant distributed quantum computing system capable of executing complex quantum algorithms. The mechanism relies on encoding quantum information into QEC codes, enabling detection and correction of errors introduced during computation and transmission. This approach addresses the critical challenge of achieving reliable quantum computation in the face of environmental noise. The proposed system outlines a modular architecture where multiple quantum processors, each equipped with QEC capabilities, collaborate to perform computations. This paper details the theoretical framework, focusing on the design and implementation aspects of the distributed system, and highlights the potential for scaling quantum computation through this error-resilient approach. The system's success hinges on efficient decoding algorithms and robust communication protocols.

Sep 2, 20260 citations