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Pan, Feng1; Zhou, Pengfei1; Li, Sujie1; Zhang, Pan2,3
Contracting Arbitrary Tensor Networks: General Approximate Algorithm and Applications in Graphical Models and Quantum Circuit Simulations
Source PublicationPHYSICAL REVIEW LETTERS
Language英语
KeywordSUPREMACY
AbstractWe present a general method for approximately contracting tensor networks with an arbitrary connectivity. This enables us to release the computational power of tensor networks to wide use in inference and learning problems defined on general graphs. We show applications of our algorithm in graphical models, specifically on estimating free energy of spin glasses defined on various of graphs, where our method largely outperforms existing algorithms, including the mean-field methods and the recently proposed neural-network-based methods. We further apply our method to the simulation of random quantum circuits and demonstrate that, with a trade-off of negligible truncation errors, our method is able to simulate large quantum circuits that are out of reach of the state-of-the-art simulation methods.
2020
ISSN0031-9007
Volume125Issue:6Pages:60503
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1103/PhysRevLett.125.060503
Indexed BySCIE
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/27194
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China
4.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Pan, Feng,Zhou, Pengfei,Li, Sujie,et al. Contracting Arbitrary Tensor Networks: General Approximate Algorithm and Applications in Graphical Models and Quantum Circuit Simulations[J]. PHYSICAL REVIEW LETTERS,2020,125(6):60503.
APA Pan, Feng,Zhou, Pengfei,Li, Sujie,&Zhang, Pan.(2020).Contracting Arbitrary Tensor Networks: General Approximate Algorithm and Applications in Graphical Models and Quantum Circuit Simulations.PHYSICAL REVIEW LETTERS,125(6),60503.
MLA Pan, Feng,et al."Contracting Arbitrary Tensor Networks: General Approximate Algorithm and Applications in Graphical Models and Quantum Circuit Simulations".PHYSICAL REVIEW LETTERS 125.6(2020):60503.
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