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Variational methods for contracting projected entangled-pair states
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DOI：10.1103/PhysRevB.105.195140.png)
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摘要
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The norms or expectation values of infinite projected entangled-pair states (PEPS) cannot be computed exactly, and approximation algorithms have to be applied. In the last years, many efficient algorithms have been devised-the corner transfer matrix renormalization group (CTMRG) and variational uniform matrix product state (VUMPS) algorithm are the most common-but it remains unclear whether they always lead to the same results. In this paper, we identify a subclass of PEPS for which we can reformulate the contraction as a variational problem that is algorithm independent. We use this variational feature to assess and compare the accuracy of CTMRG and VUMPS contractions. Moreover, we devise a new variational contraction scheme, which we can extend to compute general N-point correlation functions.
Keyword:
MATRIX RENORMALIZATION-GROUP
ALGORITHM
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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