Local tensor-network codes by Terry Farrelly, David K Tuckett, Thomas M Stace

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Fast counting with tensor networks by Stefanos Kourtis, Claudio Chamon, Eduardo R. Mucciolo, Andrei E. Ruckenstein

“…We introduce tensor network contraction algorithms for counting satisfying assignments of constraint satisfaction problems (#CSPs). …”
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Variational tensor network operator by Yu-Hsueh Chen, Ke Hsu, Wei-Lin Tu, Hyun-Yong Lee, Ying-Jer Kao

“…We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. …”
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Lattice gauge tensor networks by Pietro Silvi, Enrique Rico, Tommaso Calarco, Simone Montangero

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Stack operation of tensor networks by Zhang, Tianning, Chen, Tianqi, Li, Erping, Yang, Bo, Ang, L. K.

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Categorical Tensor Network States by Biamonte, S, Jaksch, D

“…This general framework of categorical tensor network<br/> states, where a combination of generic and algebraically defined tensors<br/> appear, enhances the theory of tensor network states.…”

Categorical Tensor Network States by Biamonte, J, Clark, SR, Jaksch, D

“…This general framework of categorical tensor network states, where a combination of generic and algebraically defined tensors appear, enhances the theory of tensor network states.…”

The tensor network theory library by Al-Assam, S, Clark, SR, Jaksch, D

“…In this technical paper we introduce the tensor network theory (TNT) library - an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. …”

Reflected entropy in random tensor networks by Chris Akers, Thomas Faulkner, Simon Lin, Pratik Rath

“…We apply this prescription to hyperbolic tensor networks and find answers consistent with holographic expectations. …”
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Building tensor networks for holographic states by Pawel Caputa, Jorrit Kruthoff, Onkar Parrikar

“…We propose that these novel Euclidean path integral states in the CFT can be interpreted as continuous tensor network (CTN) states. We argue that these CTN states satisfy a Ryu-Takayanagi-like minimal area upper bound on the entanglement entropies of boundary intervals, with the coefficient being equal to 1 4 G N $$ \frac{1}{4{G}_N} $$ ; the CTN corresponding to the bulk time-reflection symmetric slice saturates this bound. …”
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Three-dimensional isometric tensor networks by Maurits S. J. Tepaske, David J. Luitz

“…Tensor network states are expected to be good representations of a large class of interesting quantum many-body wave functions. …”
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Topological dualities via tensor networks by C. Wille, J. Eisert, A. Altland

“…In this paper, we propose a unified approach to this duality, whose main protagonist is a tensor network (TN) assuming the role of an intermediate translator. …”
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Preparation and verification of tensor network states by Esther Cruz, Flavio Baccari, Jordi Tura, Norbert Schuch, J. Ignacio Cirac

“…We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. …”
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Quantum compression of tensor network states by Ge Bai, Yuxiang Yang, Giulio Chiribella

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Gauging tensor networks with belief propagation by Joseph Tindall, Matt Fishman

“…Effectively compressing and optimizing tensor networks requires reliable methods for fixing the latent degrees of freedom of the tensors, known as the gauge. …”
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Simulated annealing for tensor network states by S Iblisdir

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Loop Optimization for Tensor Network Renormalization by Yang, Shuo, Gu, Zheng-Cheng, Wen, Xiao-Gang

“…We introduce a tensor renormalization group scheme for coarse graining a two-dimensional tensor network that can be successfully applied to both classical and quantum systems on and off criticality. …”
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Spectral methods from tensor networks by Moitra, Ankur, Wein, Alexander S.

“…Publication rights licensed to ACM. A tensor network is a diagram that specifies a way to “multiply” a collection of tensors together to produce another tensor (or matrix). …”
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Reflected entropy in random tensor networks by Akers, Chris, Faulkner, Thomas, Lin, Simon, Rath, Pratik

“…We apply this prescription to hyperbolic tensor networks and find answers consistent with holographic expectations. …”
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Quantum stochastic modelling and tensor networks by Yang, Chengran

“…In this thesis, we explore the connection between tensor networks and quantum predictive models. A particular class of tensor networks, matrix product states (MPS), is utilized to further improve quantum models. …”
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