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107448 |
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|a Yang, Shuo
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|a Massachusetts Institute of Technology. Department of Physics
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|a Wen, Xiao-Gang
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|a Gu, Zheng-Cheng
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|a Wen, Xiao-Gang
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|a Loop Optimization for Tensor Network Renormalization
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|b American Physical Society,
|c 2017-03-16T20:43:14Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/107448
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|a We introduce a tensor renormalization group scheme for coarse graining a two-dimensional tensor network that can be successfully applied to both classical and quantum systems on and off criticality. The key innovation in our scheme is to deform a 2D tensor network into small loops and then optimize the tensors on each loop. In this way, we remove short-range entanglement at each iteration step and significantly improve the accuracy and stability of the renormalization flow. We demonstrate our algorithm in the classical Ising model and a frustrated 2D quantum model.
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|a National Natural Science Foundation (China) (11274192)
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|a BMO Financial Group
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|a Templeton Foundation
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|a National Science Foundation (U.S.) (Grants DMR-1506475 and PHY11-25915)
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|a en
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|a Article
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|t Physical Review Letters
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