Simulating noisy variational quantum eigensolver with local noise models

Quantum EngineeringVolume 3, Issue 4 e77 RESEARCH ARTICLE Simulating noisy variational quantum eigensolver with local noise models Jinfeng Zeng, Jinfeng Zeng Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorZipeng Wu, Zipeng Wu Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorChenfeng Cao, Chenfeng Cao Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorChao Zhang, Chao Zhang Center for Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, ChinaSearch for more papers by this authorShi-Yao Hou, Shi-Yao Hou Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong College of Physics and Electronic Engineering, Center for Computational Sciences, Sichuan Normal University, Chengdu, ChinaSearch for more papers by this authorPengxiang Xu, Pengxiang Xu Center for Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, ChinaSearch for more papers by this authorBei Zeng, Corresponding Author Bei Zeng zengb@ust.hk Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong Correspondence Bei Zeng, Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. Email: zengb@ust.hkSearch for more papers by this author Jinfeng Zeng, Jinfeng Zeng Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorZipeng Wu, Zipeng Wu Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorChenfeng Cao, Chenfeng Cao Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong KongSearch for more papers by this authorChao Zhang, Chao Zhang Center for Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, ChinaSearch for more papers by this authorShi-Yao Hou, Shi-Yao Hou Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong College of Physics and Electronic Engineering, Center for Computational Sciences, Sichuan Normal University, Chengdu, ChinaSearch for more papers by this authorPengxiang Xu, Pengxiang Xu Center for Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, ChinaSearch for more papers by this authorBei Zeng, Corresponding Author Bei Zeng zengb@ust.hk Department of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong Correspondence Bei Zeng, Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. Email: zengb@ust.hkSearch for more papers by this author First published: 29 August 2021 https://doi.org/10.1002/que2.77 Funding information: the Key-Area Research and Development Program of Guangdong Province, No.2019B121204008 Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract The variational quantum eigensolver (VQE) is a promising algorithm to demonstrate quantum advantage on near-term noisy-intermediate-scale quantum (NISQ) computers. One central problem of VQE is the effect of noise, especially physical noise, on realistic quantum computers. We systematically study the effect of noise for the VQE algorithm by performing numerical simulations with various local noise models, including amplitude damping, dephasing, and depolarizing noise. We show that the ground state energy will deviate from the exact value as the noise probability increase, and typically, the noise will accumulate as the circuit depth increase. The results suggest that the noisy quantum system can remain entanglement at the noise level of NISQ devices by comparing the VQE solution with the mean-field solution for the many-body ground state problem. We build a noise model to capture the noise in a real quantum computer, and the corresponding numerical simulation is consistent with experimental results on IBM Quantum computers through cloud. Our work sheds new light on the practical research of noisy VQE, and the deep understanding of the noise effect of VQE will also help develop error mitigation techniques on near-term quantum computers. Open Research DATA AVAILABILITY STATEMENT The data that support the findings of this study are available upon reasonable request from the authors. Volume3, Issue4December 2021e77 RelatedInformation