Reverse Delegated Training and Private Inference via Perfectly-Secure Quantum Homomorphic Encryption

📅 2026-02-13
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🤖 AI Summary
This work addresses the challenge of enabling quantum machine learning in cloud environments while preserving data privacy and leveraging remote computational resources. It presents the first application of perfectly secure quantum homomorphic encryption (QHE) to quantum convolutional neural networks, achieving efficient computation through Clifford+T circuit decomposition. The authors introduce a reverse-delegation training mechanism to support collaborative multi-party scenarios and employ Pauli gate randomization to conceal model parameters, thereby ensuring joint privacy of both data and models. The proposed framework simultaneously enables private inference and secure training, demonstrating the practical feasibility of QHE in real-world quantum machine learning applications and establishing a new paradigm for secure multi-party quantum learning.

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📝 Abstract
Quantum machine learning in cloud environments requires protecting sensitive data while enabling remote computation. Here we demonstrate the first realistic implementations of a perfectly-secure quantum homomorphic encryption (QHE) scheme applied to quantum neural networks (QNN). Using efficient Clifford+$T$ decomposition, we implement quantum convolutional neural networks for two complementary scenarios: (i) reverse delegated training, where encrypted data from multiple providers trains a user's network via federated aggregation; (ii) private inference, where users process encrypted data with remote quantum networks. Moreover, analysis of server circuit privacy reveals probabilistic model protection through Pauli gate concealment. These results establish perfectly-secure QHE as a practical framework for multi-party quantum machine learning.
Problem

Research questions and friction points this paper is trying to address.

quantum homomorphic encryption
private inference
reverse delegated training
quantum machine learning
data privacy
Innovation

Methods, ideas, or system contributions that make the work stand out.

Quantum Homomorphic Encryption
Quantum Neural Networks
Reverse Delegated Training
Private Inference
Clifford+T Decomposition
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Sergio A. Ortega
Departamento de Física Teórica, Universidad Complutense de Madrid, 28040 Madrid, Spain
Miguel A. Martin-Delgado
Miguel A. Martin-Delgado
Departamento Fisica Teorica. Universidad Complutense Madrid. Spain
Quantum Physics