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Cluster expansions for the exponential of local operators are constructed using tensor networks.
1901
Earlier work this paper cites.
Anders W. Sandvik, “Stochastic series expansion methods,” (2019), arXiv:1909.10591 [cond-mat.str-el]
1909
Earlier work this paper cites.
H. F. Trotter, “On the product of semi-groups of operators,” Proc. Amer. Math. Soc. 10
1959
Earlier work this paper cites.
M. Suzuki, “Generalized trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems,” Comm. Math. Phys. 51
1976
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.
F. Verstraete and J. I. Cirac, “Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions,” arXiv (2004), cond-mat/0407066
2004
Earlier work this paper cites.
M. B. Hastings, “Solving gapped hamiltonians locally,” Phys. Rev. B 73
2006
Earlier work this paper cites.
F. Verstraete, V. Murg, and J. I. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Adv. Phys. 57
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
Cited alongside, same era.
U. Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
Cited alongside, same era.
J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, “Time-dependent variational principle for quantum lattices,” Phys. Rev. Lett. 107
2011
Cited alongside, same era.
S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, “Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional bose gas,” Nat. Phys. 8
2012
Cited alongside, same era.
M. Kliesch, C. Gogolin, M. J. Kastoryano, A. Riera, and J. Eisert, “Locality of temperature,” Phys. Rev. X 4
P. Corboz, “Variational optimization with infinite projected entangled-pair states,” Phys. Rev. B 94
2016
Later among the works it cites.
L. Vanderstraeten, J. Haegeman, P. Corboz, and F. Verstraete, “Gradient methods for variational optimization of projected entangled-pair states,” Phys. Rev. B 94
2016
Later among the works it cites.
L. Vanderstraeten, M. Mariën, J. Haegeman, N. Schuch, J. Vidal, and F. Verstraete, “Bridging perturbative expansions with tensor networks,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
L. Vanderstraeten, B. Vanhecke, and F. Verstraete, “Residual entropies for three-dimensional frustrated spin systems with tensor networks,” Phys. Rev. E 98
2018
Later among the works it cites.
S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollw”ock, and C. Hubig”, “Time-evolution methods for matrix-product states,” Ann. Phys. 411
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2014
Cited alongside, same era.
A. Molnar, N. Schuch, F. Verstraete, and J. I. Cirac, “Approximating gibbs states of local hamiltonians efficiently with projected entangled pair states,” Phys. Rev. B 91
2015
Cited alongside, same era.
M. P. Zaletel, R. S. K. Mong, C. Karrasch, J. E. Moore, and F. Pollmann, “Time-evolving a matrix product state with long-ranged interactions,” Phys. Rev. B 91
2015
Cited alongside, same era.
L. Vanderstraeten, J. Haegeman, and F. Verstraete, “Tangent-space methods for uniform matrix product states,” SciPost Phys. Lect. Notes , 7 (2019a)
Cited in the paper.
B. Vanhecke, et. al., in preparation
Cited in the paper.
B. Vanhecke, et. al., in preparation
Cited in the paper.
L. Vanderstraeten, J. Haegeman, and F. Verstraete, “Simulating excitation spectra with projected entangled-pair states,” Phys. Rev. B 99
Cited in the paper.
2019
Closest in time.
P. Czarnik, J. Dziarmaga, and P. Corboz, “Time evolution of an infinite projected entangled pair state: An efficient algorithm,” Phys. Rev. B 99
2019
Closest in time.
C. Hubig and J. I. Cirac, “Time-dependent study of disordered models with infinite projected entangled pair states,” SciPost Phys. 6
2019
Closest in time.