Quantum Joint Distribution Adaptation on the Universal Quantum Computer

Transfer learning (TL) is one of the most important sub-realms in the field of machine learning. The goal is to achieve knowledge transfer from source domain to target domain by utilizing the similarities among data, tasks, or models. Domain adaptation (DA) is actually a type of transductive TL with assumption that both the marginal and the conditional distribution adaptation are different. In this paper, the process of joint distribution adaptation implemented on the universal quantum computer is presented. Compared to the classical joint distribution adaptation, the performance and application scope of the algorithm are promoted by the advantages of the quantum operations. Specifically, the quantum joint distribution adaptation algorithm proposed in our work can be performed exponentially efficient with quantum computing techniques in contrast to the corresponding classical procedure.