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Variational methods for contracting projected entangled-pair states

delete2022-05-25
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OA
AI
L
Laurens Vanderstraeten *
L
Lander Burgelman
B
Boris Ponsioen
M
Maarten Van Damme
B
Bram Vanhecke
P
Philippe Corboz
J
Jutho Haegeman
F
Frank Verstraete
DOI:10.1103/PhysRevB.105.195140delete
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Abstract

Abstract

En 中文
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.
Keywords:
MATRIX RENORMALIZATION-GROUP
ALGORITHM

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

G
Ghent University
Scholars:
5.2W
Papers: 4.5W
Citations: 5.5W
U
university of amsterdam
Scholars:
6.0W
Papers: 5.1W
Citations: 94