From spin chains to real-time thermal field theory using tensor networks by Mari Carmen Bañuls, Michal P. Heller, Karl Jansen, Johannes Knaute, Viktor Svensson

“…In this article we examine tensor networks as a way of determining them in a fully ab initio way in a class of (1 + 1)-dimensional quantum field theories arising as infrared descriptions of quantum Ising chains. …”
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Jet: Fast quantum circuit simulations with parallel task-based tensor-network contraction by Trevor Vincent, Lee J. O'Riordan, Mikhail Andrenkov, Jack Brown, Nathan Killoran, Haoyu Qi, Ish Dhand

“…We introduce a new open-source software library $Jet$, which uses task-based parallelism to obtain speed-ups in classical tensor-network simulations of quantum circuits. These speed-ups result from i) the increased parallelism introduced by mapping the tensor-network simulation to a task-based framework, ii) a novel method of reusing shared work between tensor-network contraction tasks, and iii) the concurrent contraction of tensor networks on all available hardware. …”
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Converting and Completing RDF Based Ontology into Fuzzy Ontology Using Neural Tensor Network by Farhad Abedini, Mohammadreza Keyvanpour, Mohammad Bagher Menhaj

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Tensor-network approaches to counting statistics for the current in a boundary-driven diffusive system by Jiayin Gu, Fan Zhang

Subjects: “…tensor networks…”
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Computing Low-Rank Approximations of Large-Scale Matrices with the Tensor Network Randomized SVD by Batselier, Kim, Yu, Wenjian, Daniel, Luca, Wong, Ngai

“…Key words: curse of dimensionality, low-rank tensor approximation, matrix factorization, matrix product operator, singular value decompositon (SVD), tensor network, tensor train (TT) decomposition, randomized algorithm…”
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Towards a polynomial algorithm for optimal contraction sequence of tensor networks from trees by Xu, Jianyu, Liang, Ling, Deng, Lei, Wen, Changyun, Xie, Yuan, Li, Guoqi

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Neural Tensor Network Training Using Meta-Heuristic Algorithms for RDF Knowledge Bases Completion by Farhad Abedini, Mohammad Reza Keyvanpour, Mohammad Bagher Menhaj

“…Neural tensor network (NTN) has been recently introduced to complete Resource Description Framework (RDF) knowledge bases, which has been the state-of-the-art in the field so far. …”
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Solving the Electronic Schrödinger Equation by Pairing Tensor-Network State with Neural Network Quantum State by Bowen Kan, Yingqi Tian, Daiyou Xie, Yangjun Wu, Yi Fan, Honghui Shang

“…The results demonstrate that, when tensor-network pre-training is introduced into the neural network, a high efficiency can be achieved for quantum many-body systems with strong correlations.…”
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Tensor network variational optimizations for real-time dynamics: Application to the time-evolution of spin liquids by Ravi Teja Ponnaganti, Matthieu Mambrini, Didier Poilblanc

“…Within the Projected Entangled Pair State (PEPS) tensor network formalism, a simple update (SU) method has been used to investigate the time evolution of a two-dimensional U(1) critical spin-1/2 spin liquid under Hamiltonian quench [Phys. …”
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Dynamic portfolio optimization with real datasets using quantum processors and quantum-inspired tensor networks by Samuel Mugel, Carlos Kuchkovsky, Escolástico Sánchez, Samuel Fernández-Lorenzo, Jorge Luis-Hita, Enrique Lizaso, Román Orús

“…From our comparison, we conclude that D-wave hybrid and tensor networks are able to handle the largest systems, where we do calculations up to 1272 fully-connected qubits for demonstrative purposes. …”
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Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study by E. Macaluso, T. Comparin, R. O. Umucalılar, M. Gerster, S. Montangero, M. Rizzi, I. Carusotto

“…For this purpose, we employ a tree tensor network technique, which allows us to study systems with up to N=18 particles on a 16×16 lattice and experiencing an additional harmonic confinement. …”
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Implementing a Lattice Formulation of the Schwinger Modelwith Periodic Boundary Conditions Using Tensor Networks by Kazi, Sujay

“…I attempt to develop a simple tensor network formulation of the Schwinger model with periodic boundary conditions. …”
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Capsule neural tensor networks with multi-aspect information for Few-shot Knowledge Graph Completion by Li, Qianyu, Yao, Jiale, Tang, Xiaoli, Yu, Han, Jiang, Siyu, Yang, Haizhi, Song, Hengjie

“…Moreover, a neural tensor network is used to match the query set with the support set. …”
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Capturing Exponential Variance Using Polynomial Resources: Applying Tensor Networks to Nonequilibrium Stochastic Processes by Johnson, T, Elliott, T, Clark, S, Jaksch, D

“…In contrast, we show that performing the same task without sampling, using tensor network compression, efficiently captures high variances in systems of various geometries and dimensions. …”

Reflected entropy in random tensor networks. Part II. A topological index from canonical purification by Chris Akers, Thomas Faulkner, Simon Lin, Pratik Rath

“…Abstract In ref. [1], we analyzed the reflected entropy (S R ) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, S R = 2 EW 4 G $$ {S}_R=2\frac{EW}{4G} $$ . …”
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Quantum annealing for neural network optimization problems: A new approach via tensor network simulations by Guglielmo Lami, Pietro Torta, Giuseppe E. Santoro, Mario Collura

“…We show that the adiabatic time evolution of QA can be efficiently represented as a suitable Tensor Network. This representation allows for simple classical simulations, well-beyond small sizes amenable to exact diagonalization techniques. …”
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Reflected entropy in random tensor networks. Part II. A topological index from canonical purification by Akers, Chris, Faulkner, Thomas, Lin, Simon, Rath, Pratik

“…Abstract In ref. [1], we analyzed the reflected entropy (SR) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, S R = 2 EW 4 G $$ {S}_R=2\frac{EW}{4G} $$ . …”
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TTN‐FCN: A Tangut character classification framework by tree tensor network and fully connected neural network by Ziping Ma, Jinlin Ma

“…For this reason, the authors propose a novel framework for Tangut character classification, named tree tensor network‐fully connected neural network (TTN‐FCN), in which TTN is embedded to fully connect neural network. …”
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Random singlets and permutation symmetry in the disordered spin-2 Heisenberg chain: A tensor network renormalization group study by Yen-Tung Lin, Shao-Fu Liu, Pochung Chen, Yu-Cheng Lin

“…We use a tensor network renormalization group method to study random S=2 antiferromagnetic Heisenberg chains with alternating bond strength distributions. …”
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Information Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines by Song Cheng, Jing Chen, Lei Wang

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