Generative invertible quantum neural networks

Invertible Neural Networks (INN) have become established tools for the simulation and generation of highly complex data. We propose a quantum -gate algorithm for a Quantum Invertible Neural Network (QINN) and apply it to the LHC data of jet -associated production of a Z -boson that decays into leptons, a standard candle process for particle collider precision measurements. We compare the QINN's performance for different loss functions and training scenarios. For this task, we find that a hybrid QINN matches the performance of a significantly larger purely classical INN in learning and generating complex data.