Improved local truncation schemes for the higher-order tensor renormalization group method by Jacques Bloch, Robert Lohmayer, Maximilian Meister, Michael Nunhofer

“…The higher-order tensor renormalization group is a tensor-network method providing estimates for the partition function and thermodynamical observables of classical and quantum systems in thermal equilibrium. …”
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Lee-Yang theory of criticality in interacting quantum many-body systems by Timo Kist, Jose L. Lado, Christian Flindt

“…Here, we present a Lee-Yang theory of quantum phase transitions including a method to determine quantum critical points which readily can be implemented within the tensor network formalism and even in realistic experimental setups. …”
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TASI Lectures on the Emergence of Bulk Physics in AdS/CFT by Harlow, Daniel L.

“…The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction, the quantum error correction interpretation of the correspondence, tensor network models of holography, and the quantum Ryu-Takayanagi formula.…”
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An ontology-based deep learning approach for knowledge graph completion with fresh entities by Amador-Domı́nguez, E, Hohenecker, P, Lukasiewicz, T, Manrique, D, Serrano, E

“…Although the initialization method is general and applicable to different KG embedding approaches in the literature, such as TransE or RESCAL, this paper experiments with deep learning and specifically with the neural tensor network (NTN) model. The experimental results show that the proposed method can improve link classification for a given relation by up to 15%. …”

Behavior of l-bits near the many-body localization transition by Kulshreshtha, A, Pal, A, Wahl, T, Simon, S

“…Our algorithm to construct the Pauli-algebra of l-bits combines exact diagonalization and a tensor network algorithm developed for efficient diagonalization of large FMBL Hamiltonians. …”

Local integrals of motion for topologically ordered many-body localized systems by Thorsten B. Wahl, Benjamin Béri

“…Our approach is well suited for tensor-network methods and is expected to allow these to resolve highly excited finite-size-split topological eigenspaces despite their overlap in energy. …”
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Measurement as a Shortcut to Long-Range Entangled Quantum Matter by Tsung-Cheng Lu, Leonardo A. Lessa, Isaac H. Kim, Timothy H. Hsieh

“…The three classes are inspired by distinct physical insights, including tensor-network constructions, the multiscale entanglement renormalization ansatz, and parton constructions. …”
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Generating Function for Projected Entangled-Pair States by Wei-Lin Tu, Laurens Vanderstraeten, Norbert Schuch, Hyun-Yong Lee, Naoki Kawashima, Ji-Yao Chen

“…To solve this problem, here we extend the generating-function approach for tensor-network diagrammatic summation, a scheme previously proposed in the context of matrix product states. …”
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Reviving product states in the disordered Heisenberg chain by Henrik Wilming, Tobias J. Osborne, Kevin S. C. Decker, Christoph Karrasch

“…To support our claim, we combine analytic arguments with large-scale tensor network numerics for the disordered Heisenberg chain. …”
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Disentangling sources of quantum entanglement in quench dynamics by Lorenzo Pastori, Markus Heyl, Jan Carl Budich

“…Finally, we discuss the relevance of our findings for the development of tensor-network-based algorithms for quantum dynamics.…”
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Boundary and domain wall theories of 2d generalized quantum double model by Zhian Jia, Dagomir Kaszlikowski, Sheng Tan

“…Finally, via the Hopf tensor network representation of the quantum many-body states, we solve the ground state of the model in the presence of the boundary and domain wall.…”
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Triggering boundary phase transitions through bulk measurements in two-dimensional cluster states by Yuchen Guo, Jian-Hao Zhang, Zhen Bi, Shuo Yang

“…We investigate the phase diagram at the boundary of an infinite two-dimensional cluster state subject to bulk measurements using tensor network methods. The state is subjected to uniform measurements M=cosθZ+sinθX on the lower boundary qubits and in all bulk qubits. …”
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Lattice model constructions for gapless domain walls between topological phases by Chenfeng Bao, Shuo Yang, Chenjie Wang, Zheng-Cheng Gu

“…As simple examples, we numerically study several finite groups (including both Abelian and non-Abelian finite group such as S_{3}) in 2D using the state-of-the-art loop optimization of tensor network renormalization algorithm. We also propose a physical mechanism for understanding the gapless nature of these particular domain wall models. …”
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Spreading of correlations and entanglement in the long-range transverse Ising chain by J. T. Schneider, J. Despres, S. J. Thomson, L. Tagliacozzo, L. Sanchez-Palencia

“…Using a state of the art tensor-network approach, complemented by analytic calculations and considering various observables, we show that a weak form of causality emerges, characterized by nonuniversal dynamical exponents. …”
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A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories by Atis Yosprakob, Jun Nishimura, Kouichi Okunishi

“…Abstract We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassmann tensor network formalism. The basic idea is to separate the site tensor into multiple layers associated with each flavor and to introduce the gauge field in each layer as replicas, which are all identified later. …”
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A molecular movie of ultrafast singlet fission by Schnedermann, C, Alvertis, A, Wende, T, Lukman, S, Feng, J, Schröder, F, Turban, D, Wu, J, Hine, N, Greenham, N, Chin, A, Rao, A, Kukura, P, Musser, A

“…Here, combining excited-state time-domain Raman spectroscopy and tree-tensor network state simulations, we construct the full 108-atom molecular movie of ultrafast singlet fission in a pentacene dimer, explicitly treating 252 vibrational modes on 5 electronic states. …”

A quantum-inspired approach to exploit turbulence structures by Gourianov, N, Lubasch, M, Dolgov, S, Quincy Yves, VDB, Babaee, H, Givi, P, Kiffner, M, Jaksch, D

“…We present the results for interscale correlations of two paradigmatic flow examples, and use these insights along with tensor network theory to design a structure-resolving algorithm for simulating turbulent flows. …”

Theoretical error performance analysis for variational quantum circuit based functional regression by Jun Qi, Chao-Han Huck Yang, Pin-Yu Chen, Min-Hsiu Hsieh

“…In this work, we first put forth an end-to-end QNN, TTN-VQC, which consists of a quantum tensor network based on a tensor-train network (TTN) for dimensionality reduction and a VQC for functional regression. …”
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Collisionless drag for a one-dimensional two-component Bose-Hubbard model by Daniele Contessi, Donato Romito, Matteo Rizzi, Alessio Recati

“…We theoretically investigate the elusive Andreev-Bashkin collisionless drag for a two-component one-dimensional Bose-Hubbard model on a ring. By means of tensor network algorithms, we calculate the superfluid stiffness matrix as a function of intra- and interspecies interactions and of the lattice filling. …”
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Cosmology from random entanglement by Stefano Antonini, Martin Sasieta, Brian Swingle

“…Finally, under genericity assumptions, we argue for a non-isometric to approximately-isometric transition of the cosmology-to-boundary map for “simple” states on the cosmology as a function of the bulk entanglement, with tensor network toy models of our setup as a guide.…”
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