@article{4c4885ffc66145f8bd6875d50b4691c5,
title = "Efficient Depth Selection for the Implementation of Noisy Quantum Approximate Optimization Algorithm",
abstract = "Noise on near-term quantum devices will inevitably limit the performance of Quantum Approximate Optimization Algorithm (QAOA). One significant consequence is that the performance of QAOA may fail to monotonically improve with control depth. In principle, optimal depth can be found at a certain point where the noise effects just outweigh the benefits brought by increasing the depth. In this work, we propose to use the regularized model selection algorithm to identify the optimal depth with just a few iterations of regularization parameters. Numerical experiments show that the algorithm can efficiently locate the optimal depth under relaxation and dephasing noises.",
author = "Yu Pan and Yifan Tong and Shibei Xue and Guofeng Zhang",
note = "Funding Information: This research was supported by the National Natural Science Foundation of China under Grant Nos. 62173296 , 62273226 , and 62173288 . G. Zhang also acknowledges support from Hong Kong Research Grant Council (Grants Nos. 1520841 , 15203619 , and 15506619 ), Shenzhen Fundamental Research Fund , China, under Grant No. JCYJ20190813165207290 , and the CAS AMSS-polyU Joint Laboratory of Applied Mathematics. Funding Information: This research was supported by the National Natural Science Foundation of China under Grant Nos. 62173296 , 62273226 , and 62173288 . G. Zhang also acknowledges support from Hong Kong Research Grant Council (Grants Nos. 1520841, 15203619, and 15506619), Shenzhen Fundamental Research Fund, China, under Grant No. JCYJ20190813165207290, and the CAS AMSS-polyU Joint Laboratory of Applied Mathematics. Publisher Copyright: {\textcopyright} 2022 The Franklin Institute",
year = "2022",
month = dec,
doi = "10.1016/j.jfranklin.2022.10.027",
language = "English",
volume = "359",
pages = "11273--11287",
journal = "Journal of the Franklin Institute",
issn = "0016-0032",
publisher = "Elsevier Ltd",
number = "18",
}