In our research, we employ the theory of open quantum systems to provide a theoretical framework for quantum generative models, including generators and reservoirs. Our study encompasses the theoretical design, quantum hardware realization, and algorithmic learning of these systems within the domain of financial time series modeling. We establish a connection between quantum and classical learning techniques by defining a novel class of machine learning kernels – temporal quantum kernels – which are derived from the quantum generative models.

Vanio Markov, Distinguished Engineer, MD, Wells Fargo Bank, N.A.

Vladimir Rastunkov. Quantum Computational Scientist, IBM