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Software Practice and Experience

Quantum Federated Lasso With Anonymous Consensus Built Upon Quantum Blockchain

Liwei Lin, Yue Wu, Chuan Huang, J M Chen, Youqin Chen, Jing Zhang

Published Jul 18, 2026• 0 citations
Publisher

Abstract

ABSTRACT Objective With the rapid advancement of quantum computing technologies, Quantum Federated Learning (QFL) has emerged as a promising framework for privacy‐preserving quantum machine learning (QML). QFL provides a promising approach for privacy‐preserving quantum machine learning by enabling collaborative model training without sharing raw data. However, malicious or unreliable quantum clients may submit poisoned or low‐quality models, threatening the reliability of global aggregation. This study aims to develop a secure and robust QFL framework against such adversarial behaviors. Methods We propose a novel Quantum Federated Lasso (QFLasso) framework built on a quantum blockchain infrastructure. Local quantum models are trained with Lasso regularization to achieve sparse representations, and model updates are recorded on the blockchain. Quantum validators verify the quality and integrity of submitted models before aggregation. An anonymous quantum consensus mechanism is further introduced to ensure reliable agreement while preserving validator anonymity. Result The proposed framework integrates quantum Lasso optimization, federated learning, blockchain‐based verification, and anonymous quantum consensus to enhance the security, robustness, and privacy preservation of distributed quantum learning systems. The validator verification mechanism effectively filters unreliable model updates, while the anonymous consensus protocol improves resistance against dishonest or colluding validators and prevents targeted attacks on individual participants. Conclusion QFLasso provides a secure and scalable architecture for privacy‐preserving quantum intelligence, offering potential applications in secure quantum finance, distributed quantum sensing, and collaborative quantum medical diagnosis.

DOI
10.1002/spe.70090

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In recent years, the growing demand for secure, efficient, and scalable machine learning has highlighted significant challenges in traditional Federated Learning (FL) systems. These challenges include computational inefficiencies in handling large-scale, high-dimensional data, privacy concerns, and the limitations of classical hardware in solving complex optimization problems. Additionally, the increasing complexity of data and the need for more robust privacy-preserving methods have pushed the boundaries of classical FL. To address these issues, this paper presents a detailed framework for Quantum Federated Learning (QFL), where quantum computing and FL converge to enable distributed quantum model training with enhanced privacy preservation. The system is modeled using local quantum models on clients and a global aggregation strategy at the server. We develop quantum gradient-based optimization with quantum cross-entropy loss, privacy preservation through encryption, and robustness to quantum noise. A set of theorems is provided to prove the correctness and efficiency of the model, supported by rigorous mathematical formulations. We used IBM Qiskit for the simulation and compared our proposed QFL with classical FL. The results demonstrate that our QFL outperformed classical FL in terms of accuracy, precision, recall, and F1 score.
Recent advancements in Quantum Neural Networks (QNNs) have demonstrated theoretical and experimental performance superior to their classical counterparts in a wide range of applications. However, existing centralized QNNs cannot solve many real-world problems because collecting large amounts of training data to a common public site is time-consuming and, more importantly, violates data privacy. Federated Learning (FL) is an emerging distributed machine learning framework that allows collaborative model training on decentralized data residing on multiple devices without breaching data privacy. Some initial attempts at Quantum Federated Learning (QFL) either only focus on improving the QFL performance or rely on a trusted quantum server that fails to preserve data privacy. In this work, we propose CryptoQFL, a QFL framework that allows distributed QNN training on encrypted data. CryptoQFL is (1) secure, because it allows each edge to train a QNN with local private data, and encrypt its updates using quantum homomorphic encryption before sending them to the central quantum server; (2) communication-efficient, as CryptoQFL quantize local gradient updates to ternary values, and only communicate non-zero values to the server for aggregation; and (3) computation-efficient, as CryptoQFL presents an efficient quantum aggregation circuit with significantly reduced latency compared to state-of-the-art approaches.