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The contraction of tensor networks is a central task in the application of tensor network methods to the study of quantum and classical many body systems.
G. H. Wannier, Antiferromagnetism. the triangular ising net, Phys. Rev. 79
1950
Earlier work this paper cites.
J. L. Cardy, Conformal invariance and the yang-lee edge singularity in two dimensions, Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
H. W. J. Blöte and M. P. Nightingale, Antiferromagnetic triangular ising model: Critical behavior of the ground state, Phys. Rev. B 47
1993
Earlier work this paper cites.
T. Nishino, Density matrix renormalization group method for 2d classical models, J. Phys. Soc. Jpn 64
1995
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner transfer matrix renormalization group method, J. Phys. Soc. Jpn 65
1996
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner transfer matrix algorithm for classical renormalization group, J. Phys. Soc. Jpn 66
1997
Earlier work this paper cites.
X. Wang and T. Xiang, Transfer-matrix density-matrix renormalization-group theory for thermodynamics of one-dimensional quantum systems, Phys. Rev. B 56
1997
Earlier work this paper cites.
T. Xiang, Thermodynamics of quantum heisenberg spin chains, Phys. Rev. B 58
1998
Earlier work this paper cites.
G. Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
Y. Jiang and T. Emig, Ordering of geometrically frustrated classical and quantum triangular ising magnets, Phys. Rev. B 73
2006
Earlier work this paper cites.
M. Levin and C. P. Nave, Tensor renormalization group approach to two-dimensional classical lattice models, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
R. Orús and G. Vidal, Infinite time-evolving block decimation algorithm beyond unitary evolution, Phys. Rev. B 78
2008
Earlier work this paper cites.
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Classical simulation of infinite-size quantum lattice systems in two spatial dimensions, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
R. Orús and G. Vidal, Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction, Phys. Rev. B 80
2009
Earlier work this paper cites.
Z. Y. Xie, H. C. Jiang, Q. N. Chen, Z. Y. Weng, and T. Xiang, Second renormalization of tensor-network states, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order, Phys. Rev. B 80
2009
Earlier work this paper cites.
F. Pollmann, S. Mukerjee, A. M. Turner, and J. E. Moore, Theory of finite-entanglement scaling at one-dimensional quantum critical points, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
P. Corboz, J. Jordan, and G. Vidal, Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor hamiltonians, Phys. Rev. B 82
2010
Earlier work this paper cites.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Ann. Phys. 326
2011
Cited alongside, same era.
W. Li, S.-J. Ran, S.-S. Gong, Y. Zhao, B. Xi, F. Ye, and G. Su, Linearized tensor renormalization group algorithm for the calculation of thermodynamic properties of quantum lattice models, Phys. Rev. Lett. 106
2011
Cited alongside, same era.
P. Corboz, S. R. White, G. Vidal, and M. Troyer, Stripes in the two-dimensional t t - j j model with infinite projected entangled-pair states, Phys. Rev. B 84
2011
Cited alongside, same era.
Y.-K. Huang, Biorthonormal matrix-product-state analysis for the non-hermitian transfer-matrix renormalization group in the thermodynamic limit, J. Stat. Mech. Theory Exp. 2011
2011
Cited alongside, same era.
R. Orús, Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems, Phys. Rev. B 85
M. Bal, M. Mariën, J. Haegeman, and F. Verstraete, Renormalization group flows of hamiltonians using tensor networks, Phys. Rev. Lett. 118
2017
Later among the works it cites.
J. Haegeman and F. Verstraete, Diagonalizing transfer matrices and matrix product operators: A medley of exact and computational methods, Annu. Rev. Condens. Matter Phys. 8
2017
Later among the works it cites.
R. Couvreur, J. L. Jacobsen, and H. Saleur, Entanglement in nonunitary quantum critical spin chains, Phys. Rev. Lett. 119
2017
Later among the works it cites.
M. Hauru, C. Delcamp, and S. Mizera, Renormalization of tensor networks using graph-independent local truncations, Phys. Rev. B 97
2018
Later among the works it cites.
B.-B. Chen, L. Chen, Z. Chen, W. Li, and A. Weichselbaum, Exponential thermal tensor network approach for quantum lattice models, Phys. Rev. X 8
2018
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2012
Cited alongside, same era.
Z. Y. Xie, J. Chen, M. P. Qin, J. W. Zhu, L. P. Yang, and T. Xiang, Coarse-graining renormalization by higher-order singular value decomposition, Phys. Rev. B 86
2012
Cited alongside, same era.
Y.-K. Huang, P. Chen, and Y.-J. Kao, Accurate computation of low-temperature thermodynamics for quantum spin chains, Phys. Rev. B 86
2012
Cited alongside, same era.
D. C. Brody, Biorthogonal quantum mechanics, J. Phys. A: Math. 47
2013
Cited alongside, same era.
R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Ann. Phys. 349
2014
Cited alongside, same era.
P. Corboz, T. M. Rice, and M. Troyer, Competing states in the t t - j j model: Uniform d d -wave state versus stripe state, Phys. Rev. Lett. 113
2014
Cited alongside, same era.
D. Bianchini, O. Castro-Alvaredo, B. Doyon, E. Levi, and F. Ravanini, Entanglement entropy of non-unitary conformal field theory, J. Phys. A: Math. Theor. 48
2014
Cited alongside, same era.
G. Evenbly and G. Vidal, Tensor network renormalization, Phys. Rev. Lett. 115
2015
Cited alongside, same era.
Later among the works it cites.
V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, and J. Haegeman, Variational optimization algorithms for uniform matrix product states, Phys. Rev. B 97
2018
Later among the works it cites.
M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, and F. Verstraete, Faster methods for contracting infinite two-dimensional tensor networks, Phys. Rev. B 98
2018
Later among the works it cites.
T. Dupic, B. Estienne, and Y. Ikhlef, Entanglement entropies of minimal models from null-vectors, SciPost Phys. 4
2018
Later among the works it cites.
A. Nourhani, V. H. Crespi, and P. E. Lammert, Communicating through a sea of frustration: Zero-temperature triangular ising antiferromagnet on a cylinder, Phys. Rev. E 98
2018
Later among the works it cites.
A. Smerald and F. Mila, Spin-liquid behaviour and the interplay between pokrovsky-talapov and ising criticality in the distorted, triangular-lattice, dipolar ising antiferromagnet, SciPost Phys. 5
2018
Later among the works it cites.
A. Hackenbroich, A. Sterdyniak, and N. Schuch, Interplay of su(2), point group, and translational symmetry for projected entangled pair states: Application to a chiral spin liquid, Phys. Rev. B 98
2018
Later among the works it cites.
L. Vanderstraeten, J. Haegeman, and F. Verstraete, Tangent-space methods for uniform matrix product states, SciPost Phys. Lect. Notes (2019)
2019
Later among the works it cites.
J. I. Cirac, D. Pérez-García, N. Schuch, and F. Verstraete, Matrix product states and projected entangled pair states: Concepts, symmetries, theorems, Rev. Mod. Phys. 93
2021
Later among the works it cites.
L. Vanderstraeten, L. Burgelman, B. Ponsioen, M. Van Damme, B. Vanhecke, P. Corboz, J. Haegeman, and F. Verstraete, Variational methods for contracting projected entangled-pair states, Phys. Rev. B 105
2022
Later among the works it cites.
2022
Later among the works it cites.
Y.-T. Tu, Y.-C. Tzeng, and P.-Y. Chang, Rényi entropies and negative central charges in non-hermitian quantum systems, SciPost Phys. 12
2022
Later among the works it cites.
H. Nuomin, F.-F. Song, D. N. Beratan, and P. Zhang, Suppressing the entanglement growth in matrix product state evolution of quantum systems through nonunitary similarity transformations, Phys. Rev. B 106
2022
Later among the works it cites.
T. Xiang, Density Matrix and Tensor Network Renormalization (Cambridge University Press, 2023)
2023
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M. Van Damme, L. Devos, and J. Haegeman, MPSKit (2024)
2024
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