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Xie, ZY; Liao, HJ; Huang, RZ; Xie, HD; Chen, J; Liu, ZY; Xiang, T; Xiang, T (reprint author), Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.; Xiang, T (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.; Xiang, T (reprint author), Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China.
Optimized contraction scheme for tensor-network states
Source PublicationPHYSICAL REVIEW B
Language英语
AbstractIn the tensor-network framework, the expectation values of two-dimensional quantum states are evaluated by contracting a double-layer tensor network constructed from initial and final tensor-network states. The computational cost of carrying out this contraction is generally very high, which limits the largest bond dimension of tensor-network states that can be accurately studied to a relatively small value. We propose an optimized contraction scheme to solve this problem by mapping the double-layer tensor network onto an intersected single-layer tensor network. This reduces greatly the bond dimensions of local tensors to be contracted and improves dramatically the efficiency and accuracy of the evaluation of expectation values of tensor-network states. It almost doubles the largest bond dimension of tensor-network states whose physical properties can be efficiently and reliably calculated, and it extends significantly the application scope of tensor-network methods.
2017
Volume96Issue:4Pages:45128
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1103/PhysRevB.96.045128
Funding OrganizationNational Natural Science Foundation of China [11474331] ; National Natural Science Foundation of China [11474331] ; National Natural Science Foundation of China [11474331] ; National Natural Science Foundation of China [11474331] ; Ministry of Science and Technology of China [2016YFA0300503] ; Ministry of Science and Technology of China [2016YFA0300503] ; Ministry of Science and Technology of China [2016YFA0300503] ; Ministry of Science and Technology of China [2016YFA0300503]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22009
Collection理论物理所科研产出_SCI论文
Corresponding AuthorXiang, T (reprint author), Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.; Xiang, T (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.; Xiang, T (reprint author), Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Xie, ZY,Liao, HJ,Huang, RZ,et al. Optimized contraction scheme for tensor-network states[J]. PHYSICAL REVIEW B,2017,96(4):45128.
APA Xie, ZY.,Liao, HJ.,Huang, RZ.,Xie, HD.,Chen, J.,...&Xiang, T .(2017).Optimized contraction scheme for tensor-network states.PHYSICAL REVIEW B,96(4),45128.
MLA Xie, ZY,et al."Optimized contraction scheme for tensor-network states".PHYSICAL REVIEW B 96.4(2017):45128.
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