Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus

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	Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus
	Zhao, Chen 1,2; Gao, Xiao-Shan 1,2
	2021-06-04
发表期刊	QUANTUM
ISSN	2521-327X
卷号	5 页码:49
摘要	In this paper, we propose a general scheme to analyze the gradient vanishing phenomenon, also known as the barren plateau phenomenon, in training quantum neural networks with the ZX-calculus. More precisely, we extend the barren plateaus theorem from unitary 2-design circuits to any parameterized quantum circuits under certain reasonable assumptions. The main technical contribution of this paper is representing certain integrations as ZX-diagrams and computing them with the ZX-calculus. The method is used to analyze four concrete quantum neural networks with different structures. It is shown that, for the hardware efficient ansatz and the MPS-inspired ansatz, there exist barren plateaus, while for the QCNN ansatz and the tree tensor network ansatz, there exists no barren plateau.
收录类别	SCI
语种	英语
资助项目	NSFC[11688101] ; NKRDP[2018YFA0306702]
WOS研究方向	Physics
WOS类目	Quantum Science & Technology ; Physics, Multidisciplinary
WOS记录号	WOS:000659217800001
出版者	VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58849
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Chen
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Chen,Gao, Xiao-Shan. Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus[J]. QUANTUM,2021,5:49.
APA	Zhao, Chen,&Gao, Xiao-Shan.(2021).Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus.QUANTUM,5,49.
MLA	Zhao, Chen,et al."Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus".QUANTUM 5(2021):49.