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Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics.
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Infinite time-evolving block decimation algorithm beyond unitary evolution
R. Orús and G. Vidal · 2008
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Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction
R. Orús and G. Vidal · 2009
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The density-matrix renormalization group in the age of matrix product states
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Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor hamiltonians
P. Corboz, J. Jordan, and G. Vidal · 2010
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Classifying quantum phases using matrix product states and projected entangled pair states
N. Schuch, D. Pérez-García, and I. Cirac · 2011
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Stripes in the two-dimensional t t - j j model with infinite projected entangled-pair states
P. Corboz, S. R. White, G. Vidal, and M. Troyer · 2011
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Detection of symmetry-protected topological phases in one dimension
F. Pollmann and A. M. Turner · 2012
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Projected entangled pair states at finite temperature: Imaginary time evolution with ancillas
Piotr Czarnik, Lukasz Cincio, and Jacek Dziarmaga · 2012
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Gradient methods for variational optimization of projected entangled-pair states
L. Vanderstraeten, J. Haegeman, P. Corboz, and F. Verstraete · 2016
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Ab initio optimization principle for the ground states of translationally invariant strongly correlated quantum lattice models
Shi-Ju Ran · 2016
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Unifying time evolution and optimization with matrix product states
J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken, and F. Verstraete · 2016
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Hand-waving and interpretive dance: An introductory course on tensor networks
J. C. Bridgeman and C. T. Chubb · 2017
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Composite symmetry-protected topological order and effective models
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A simple tensor network algorithm for 2d steady states
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Coarse-graining renormalization by higher-order singular value decomposition
Z. Y. Xie, J. Chen, M. P. Qin, J. W. Zhu, L. P. Yang, and T. Xiang · 2012
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Resonating valence bond states in the PEPS formalism
N. Schuch, D. Poilblanc, J. I. Cirac, and D. Pérez-García · 2012
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Lecture notes for the 44th IFF Spring School “Quantum Information Processing” in Juelich , 2013
N. Schuch · 2013
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Entanglement and tensor network states
J. Eisert · 2013
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Post-matrix product state methods: To tangent space and beyond
J. Haegeman, T. J. Osborne, and F. Verstraete · 2013
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
R. Orús · 2014
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Crystals of bound states in the magnetization plateaus of the shastry-sutherland model
P. Corboz and F. Mila · 2014
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A. Kshetrimayum, H. Weimer, and R. Orus · 2017
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Loop optimization for tensor network renormalization
S. Yang, Z.-G. Gu, and X.-G. Wen · 2017
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Renormalization group flows of hamiltonians using tensor networks
M. Bal, M. Mariën, J. Haegeman, and F. Verstraete · 2017
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Matrix product state approximations for infinite systems
N. Schuch and F. Verstraete · 2017
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Residual entropies for three-dimensional frustrated spin systems with tensor networks
L. Vanderstraeten, B. Vanhecke, and F. Verstraete · 2018
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Renormalization of tensor networks using graph-independent local truncations
M. Hauru, C. Delcamp, and S. Mizera · 2018
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Variational optimization algorithms for uniform matrix product states
V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, and J. Haegeman · 2018
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Faster methods for contracting infinite two-dimensional tensor networks
M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, and F. Verstraete · 2018
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Time evolution of an infinite projected entangled pair state: An efficient algorithm
P. Czarnik, J. Dziarmaga, and P. Corboz · 2019
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Time-dependent study of disordered models with infinite projected entangled pair states
C. Hubig and J. I. Cirac · 2019
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Towards a mathematical formalism for classifying phases of matter
A. Bauer, J. Eisert, and C. Wille · 2019
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Locally accurate mps approximations for ground states of one-dimensional gapped local hamiltonians
Alexander M Dalzell and Fernando GSL Brandão · 2019
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Approximating local properties by tensor network states with constant bond dimension
Y. Huang · 2019
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Tensor network contractions
Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Gang Su, and Maciej Lewenstein · 2020
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