Generative Invertible Quantum Neural Networks

Abstract

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.

Comments: 18 pages, 7 figures Changes in v2: Add references 49-51, provided gitlab link to code repository Changes in v3: Incorporate rebuttal from https://scipost.org/submissions/2302.12906v2/