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Tensor network methods are a conceptually elegant framework for encoding complicated datasets, where high-order tensors are approximated as networks of low-order tensors.
G. Evenbly, Tensors.net website
1911
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G. Vidal, A class of quantum many-body states that can be efficiently simulated
2008
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J. I. Cirac and F. Verstraete, Renormalization and tensor product states in spin chains and lattices
2009
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G. Evenbly and G. Vidal, Algorithms for entanglement renormalization
2009
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G. Evenbly and G. Vidal, Entanglement Renormalization in Two Spatial Dimensions
2009
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G. Evenbly and G. Vidal, Tensor network states and geometry
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2012
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G. Evenbly and G. Vidal, Quantum criticality with the multi-scale entanglement renormalization ansatz
2013
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R. Orus, A practical introduction to tensor networks: Matrix product states and projected entangled pair states
2014
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A. Cichocki, Tensor Networks for Big Data Analytics and Large-Scale Optimization Problems
2014
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G. Evenbly and G. Vidal, A class of highly entangled many-body states that can be efficiently simulated
2014
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R. N. C. Pfeifer, J. Haegeman, and F. Verstraete, Faster identification of optimal contraction sequences for tensor networks
2014
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R. N. C. Pfeifer and G. Evenbly, Improving the efficiency of variational tensor network algorithms
R. N. C. Pfeifer, G. Evenbly, S. Singh, and G. Vidal, NCON: A tensor network contractor for MATLAB
2014
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E. M. Stoudenmire and D. J. Schwab, Supervised learning with tensor networks
2016
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J. C. Bridgeman and C. T. Chubb, Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
2017
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S. Al-Assam, S. R. Clark, and D. Jaksch, The Tensor Network Theory Library
2017
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J. Hauschild and F. Pollmann, Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
2018
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2014
Cited alongside, same era.
M. Fishman, E. M. Stoudenmire, and S. R. White, ITensor Library
Cited in the paper.
Y.-J. Kao, Y.-D. Hsieh, and P. Chen, Uni10: an open-source library for tensor network algorithms
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J. Haegeman, TensorOperations
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F. Verstraete and J. I. Cirac, Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
Cited in the paper.
2019
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