Federated Quantum-Train Long Short-Term Memory for Gravitational Wave Signal

We present Federated QT-LSTM, a novel framework that combines the Quantum-Train (QT) methodology with Long Short-Term Memory (LSTM) networks in a federated learning setup. By leveraging quantum neural networks (QNNs) to generate classical LSTM model parameters during training, the framework effectively addresses challenges in model compression, scalability, and computational efficiency. Importantly, Federated QT-LSTM eliminates the reliance on quantum devices during inference, making it practical for real-world applications. Experiments on simulated gravitational wave (GW) signal datasets demonstrate the framework's superior performance compared to baseline models, including LSTM and QLSTM, achieving lower training and testing losses while significantly reducing the number of trainable parameters. The results also reveal that deeper QT layers enhance model expressiveness for complex tasks, highlighting the adaptability of the framework. Federated QT-LSTM provides a scalable and efficient solution for privacy-preserving distributed learning, showcasing the potential of quantum-inspired techniques in advancing time-series prediction and signal reconstruction tasks.