Mitigating barren plateaus with transfer-learning-inspired parameter initializations

Autor: Huan-Yu Liu, Tai-Ping Sun, Yu-Chun Wu, Yong-Jian Han, Guo-Ping Guo
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: New Journal of Physics, Vol 25, Iss 1, p 013039 (2023)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/acb58e
Popis: Variational quantum algorithms (VQAs) are widely applied in the noisy intermediate-scale quantum era and are expected to demonstrate quantum advantage. However, training VQAs faces difficulties, one of which is the so-called barren plateaus (BPs) phenomenon, where gradients of cost functions vanish exponentially with the number of qubits. In this paper, inspired by transfer learning, where knowledge of pre-solved tasks could be further used in a different but related work with training efficiency improved, we report a parameter initialization method to mitigate BP. In the method, a small-sized task is solved with a VQA. Then the ansatz and its optimum parameters are transferred to tasks with larger sizes. Numerical simulations show that this method could mitigate BP and improve training efficiency. A brief discussion on how this method can work well is also provided. This work provides a reference for mitigating BP, and therefore, VQAs could be applied to more practical problems.
Databáze: Directory of Open Access Journals