Simulating strongly correlated quantum systems with tree tensor networks

Cited by (247)

Items 101–200 of 247

1. Optimal tree tensor network operators for tensor network simulations: Applications to open quantum systems
   Weitang Li, Jiajun Ren, Hengrui Yang, Haobin Wang, Zhigang Shuai · 2024 · The Journal of Chemical Physics
2. Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks
   Dominik Sulz, Christian Lubich, Gianluca Ceruti, Igor Lesanovsky, Federico Carollo · 2024 · Physical Review A
3. Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus
   Qiang Miao, Thomas Barthel · 2024 · Physical Review A
4. Expressibility of comb tensor network states (CTNS) for the P-cluster and the FeMo-cofactor of nitrogenase
   Zhendong Li · 2021 · Electronic Structure
5. Tensor representation techniques for full configuration interaction: A Fock space approach using the canonical product format
   Karl-Heinz Böhm, Alexander A. Auer, Mike Espig · 2016 · The Journal of Chemical Physics
6. Language Design as Information Renormalization
   Ángel J. Gallego, Román Orús · 2022 · SN Computer Science
7. Variational Monte Carlo simulations using tensor-product projected states
   Olga Sikora, Hsueh-Wen Chang, Chung-Pin Chou, Frank Pollmann, Ying-Jer Kao · 2015 · Physical Review B
8. Abelian and non-abelian symmetries in infinite projected entangled pair states
   Claudius Hubig · 2018 · SciPost Physics
9. Tensor network representations from the geometry of entangled states
   Matthias Christandl, Ángelo Lucia, Péter Vrana, Albert H. Werner · 2020 · SciPost Physics
10. Quantum information-based analysis of electron-deficient bonds
    Jan Brandejs, Libor Veis, Szilárd Szalay, Gergely Barcza, Jiří Pittner, Örs Legeza · 2019 · The Journal of Chemical Physics
11. On the descriptive power of Neural-Networks as constrained Tensor Networks with exponentially large bond dimension
    Mario Collura, Luca Dell’Anna, Timo Felser, Simone Montangero · 2021 · SciPost Physics Core
12. Quantum-classical eigensolver using multiscale entanglement renormalization
    Qiang Miao, Thomas Barthel · 2023 · Physical Review Research
13. Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
    Lucas Kohn, Ferdinand Tschirsich, Maximilian Keck, Martin Bodo Plenio, Dario Tamascelli, Simone Montangero · 2018 · Physical review. E
14. Entanglement entropy of the long-range Dyson hierarchical model
    Silvia Pappalardi, Pasquale Calabrese, Giorgio Parisi A · 2019 · Journal of Statistical Mechanics Theory and Experiment
15. Quantum information-based analysis of electron-deficient bonds
    Jan Brandejs, Libor Veis, Szilárd Szalay, Gergely Barcza, Jiřı́ Pittner, Örs Legeza · 2019 · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)
16. Quantum Nonlocality in Any Forked Tree-Shaped Network
    Li‐Hua Yang, Xiaofei Qi, Jinchuan Hou · 2022 · Entropy
17. Three-Legged Tree Tensor Networks with SU(2) and Molecular Point Group Symmetry
    Klaas Gunst, Frank Verstraete, Dimitri Van Neck · 2019 · Journal of Chemical Theory and Computation
18. Entanglement bipartitioning and tree tensor networks
    Kouichi Okunishi, Hiroshi Ueda, Tomotoshi Nishino · 2023 · Progress of Theoretical and Experimental Physics
19. Machine Learning With Tree Tensor Networks, CP Rank Constraints, and Tensor Dropout
    Hao Chen, Thomas Barthel · 2024 · IEEE Transactions on Pattern Analysis and Machine Intelligence
20. Full-valence density matrix renormalisation group calculations on meta-benzyne based on unrestricted natural orbitals. Revisit of seamless continuation from broken-symmetry to symmetry-adapted models for diradicals
    Takashi Kawakami, Tôru Saitô, Sandeep Sharma, Shusuke Yamanaka, Satoru Yamada, Takahito Nakajima, Mitsutaka Okumura, Kizashi Yamaguchi · 2017 · Molecular Physics
21. Spin transport through a spin- 12 XXZ chain contacted to fermionic leads
    Florian Lange, Satoshi Ejima, Tomonori Shirakawa, Seiji Yunoki, Holger Fehske · 2018 · Physical review. B./Physical review. B
22. Self-adaptive tensor network states with multi-site correlators
    Kovyrshin, Arseny, Reiher, Markus · 2017 · The Journal of Chemical Physics
23. Phase diagram of the isotropic spin- 32 model on the z=3 Bethe lattice
    Stefan Depenbrock, Frank Pollmann · 2013 · Physical Review B
24. Seniority based energy renormalization group (Ω-ERG) approach in quantum chemistry: Initial formulation and application to potential energy surfaces
    Laimutis Bytautas, J. Dukelsky · 2018 · Computational and Theoretical Chemistry
25. Quantum Circuit Matrix Product State Ansatz for Large-Scale Simulations of Molecules
    Yi Fan, Jie Liu, Zhenyu Li, Jinlong Yang · 2023 · Journal of Chemical Theory and Computation
26. Nested algebraic Bethe ansatz for the supersymmetric t−J model and tensor networks
    You Quan Chong, V. Murg, V. E. Korepin, Frank Verstraete · 2015 · Physical Review B
27. Quantum-inspired event reconstruction with Tensor Networks: Matrix Product States
    Jack Y. Araz, Michael Spannowsky · 2021 · Journal of High Energy Physics
28. On the closedness and geometry of tensor network state sets
    Thomas Barthel, Jianfeng Lu, Gero Friesecke · 2022 · Letters in Mathematical Physics
29. Compressing multireference character of wave functions via fermionic mode optimization
    Mihály Máté, Klára Petrov, Szilárd Szalay, Örs Legeza · 2022 · Journal of Mathematical Chemistry
30. Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems with matrix-product states
    Christian Krumnow, Libor Veis, Jens Eisert, Örs Legeza · 2021 · Physical review. B./Physical review. B
31. Two-dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
    Andor Menczer, Kornél Kapás, Miklós Antal Werner, Örs Legeza · 2024 · Physical review. B./Physical review. B
32. Hybrid Tree Tensor Networks for Quantum Simulation
    Julian Schuhmacher, Marco Ballarin, Alberto Baiardi, Giuseppe Magnifico, Francesco Tacchino, Simone Montangero, Ivano Tavernelli · 2025 · PRX Quantum
33. Absence of Barren Plateaus and Scaling of Gradients in the Energy Optimization of Isometric Tensor Network States
    Thomas Barthel, Qiang Miao · 2025 · Communications in Mathematical Physics
34. Quantum phase diagram of the two-dimensional transverse-field Ising model: Unconstrained tree tensor network and mapping analysis
    M. Sadrzadeh, Reza Haghshenas, A. Langari · 2019 · Physical review. B./Physical review. B
35. Tensor network methods with graph enhancement
    R. Hübener, Caroline Kruszynska, Ludwig Hartmann, Wolfgang Dür, Martin Bodo Plenio, Jens Eisert · 2011 · Physical Review B
36. Computing time-periodic steady-state currents via the time evolution of tensor network states
    Nils E. Strand, Hadrien Vroylandt, Todd R. Gingrich · 2022 · The Journal of Chemical Physics
37. Stochastic resonance in vibrational polariton chemistry
    Yaling Ke · 2025 · The Journal of Chemical Physics
38. Compact neural-network quantum state representations of Jastrow and stabilizer states
    Michael Y. Pei, Stephen R Clark · 2021 · Journal of Physics A Mathematical and Theoretical
39. Holographic unitary renormalization group for correlated electrons - I: A tensor network approach
    Anirban Mukherjee, Siddhartha Lal · 2020 · Nuclear Physics B
40. The seniority quantum number in Tensor Network States
    Klaas Gunst, Dimitri Van Neck, Peter A. Limacher, Stijn De Baerdemacker · 2021 · SciPost Chemistry
41. Changing the topology of Tensor Networks
    Stefan Handschuh · 2012 · arXiv (Cornell University)
42. Time dependent variational principle for tree Tensor Networks
    Daniel Bauernfeind, Markus Aichhorn · TUGraz OPEN Library (Graz University of Technology)
43. QTN-VQC: An End-to-End Learning framework for Quantum Neural Networks
    Jun Qi, Chao-Han Huck Yang, Pin‐Yu Chen · 2021 · arXiv (Cornell University)
44. Optimal symbolic construction of matrix product operators and tree tensor network operators
    Hazar Çakır, Richard M. Milbradt, Christian B. Mendl · 2025 · Physical review. B./Physical review. B
45. Quantum-inspired Boolean states for bounding engineering network reliability assessment
    Leonardo Dueñas‐Osorio, Moshe Y. Vardi, Javier Rojo · 2018 · Structural Safety
46. Hubbard model on the Bethe lattice via variational uniform tree states: Metal-insulator transition and a Fermi liquid
    Peter Lunts, Antoine Georges, E. Miles Stoudenmire, Matthew Fishman · 2021 · Physical Review Research
47. Capturing Long-Range Memory Structures with Tree-Geometry Process Tensors
    Neil Dowling, Kavan Kishore Modi, Roberto N. Muñoz, Sukhbinder Singh, Gregory A. L. White · 2024 · Physical Review X
48. Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
    Qiang Miao, Thomas Barthel · 2025 · Quantum
49. Superconductivity from repulsion in the doped 2D electronic Hubbard model: an entanglement perspective
    Anirban Mukherjee, Siddhartha Lal · 2022 · Journal of Physics Condensed Matter
50. Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study
    Philipp Schmoll, Andreas Haller, Matteo Rizzi, Román Orús · 2019 · Physical review. B./Physical review. B
51. Hilbert space renormalization for the many-electron problem
    Zhendong Li, Garnet Kin‐Lic Chan · 2016 · The Journal of Chemical Physics
52. Neural-Network Quantum States for Spin-1 Systems: Spin-Basis and Parameterization Effects on Compactness of Representations
    Michael Y. Pei, Stephen R. L. Clark · 2021 · Entropy
53. MATRIX PRODUCT STATE REPRESENTATION FOR SLATER DETERMINANTS AND CONFIGURATION INTERACTION STATES
    PIETRO SILVI, DAVIDE ROSSINI, Rosario Fazio, GIUSEPPE E. SANTORO, Vittorio Giovannetti · 2012 · International Journal of Modern Physics B
54. Matrix Product State representation for Slater Determinants and Configuration Interaction States
    Pietro Silvi, Davide Rossini, Giuseppe E. Santoro, Vittorio Giovannetti · 2014
55. QCMaquis 4.0: Multipurpose Electronic, Vibrational, and Vibronic Structure and Dynamics Calculations with the Density Matrix Renormalization Group
    Kalman Szenes, Nina Glaser, Mihael Eraković, Valentin Barandun, Maximilian Mörchen, Robin Feldmann, Stefano Battaglia, Alberto Baiardi, Markus Reiher · 2025 · The Journal of Physical Chemistry A
56. Vibrational Entanglement through the Lens of Quantum Information Measures
    Nina Glaser, Alberto Baiardi, Annina Z. Lieberherr, Markus Reiher · 2024 · The Journal of Physical Chemistry Letters
57. State diagrams to determine tree tensor network operators
    Richard M. Milbradt, Qunsheng Huang, Christian B. Mendl · 2024 · SciPost Physics Core
58. From quantum-enhanced to quantum-inspired Monte Carlo
    Johannes Christmann, Petr Ivashkov, Mattia Chiurco, Guglielmo Mazzola · 2025 · Physical Review A
59. Generation of Current Vortex by Spin Current in Rashba Systems
    Florian Lange, Satoshi Ejima, Junji Fujimoto, Tomonori Shirakawa, Holger Fehske, Seiji Yunoki, Sadamichi Maekawa · 2021 · Physical Review Letters
60. Tensors for deep learning theory
    Yoav Levine, Noam Wies, Or Sharir, Nadav Cohen, Amnon Shashua · 2022 · Elsevier eBooks
61. Interaction decompositions for tensor network regression
    Ian Convy, K. Birgitta Whaley · 2022 · Machine Learning Science and Technology
62. Simulation of Anyons Using Symmetric Tensor Network Algorithms
    Robert N. C. Pfeifer · 2012 · arXiv (Cornell University)
63. Specialising neural-network quantum states for the Bose Hubbard model
    Michael Y. Pei, Stephen R. L. Clark · 2024 · Journal of Physics B Atomic Molecular and Optical Physics
64. Variational quantum eigensolver with embedded entanglement using a tensor-network ansatz
    Ryo Watanabe, Keisuke Fujii, Hiroshi Ueda · 2024 · Physical Review Research
65. Charge and Spin Sharpening Transitions on Dynamical Quantum Trees
    Xiaozhou Feng, Nadezhda Fishchenko, Sarang Gopalakrishnan, Matteo Ippoliti · 2025 · Quantum
66. Tensor network states with three-site correlators
    Arseny Kovyrshin, Markus Reiher · 2016 · New Journal of Physics
67. Driving XXZ spin chains: Magnetic-field and boundary effects
    F. Lange, Satoshi Ejima, H. Fehske · 2019 · Europhysics Letters (EPL)
68. Time-reversal symmetry adaptation in relativistic density matrix renormalization group algorithm
    Zhendong Li · 2023 · The Journal of Chemical Physics
69. A simple DFT-based diagnostic for nondynamical correlation
    Uma R. Fogueri, Sebastian Kozuch, Amir Karton, Jan M. L. Martin · 2012 · Highlights in theoretical chemistry
70. Postselection-free experimental observation of the measurement-induced phase transition in circuits with universal gates
    Xiaozhou Feng, Jeremy Côté, Stefanos Kourtis, Brian J. Skinner · 2026 · Communications Physics
71. Matrix Product States and Density Matrix Renormalization Group Algorithm
    Naoki Nakatani · 2018 · Elsevier eBooks
72. Generalized n-locality correlations in tree tensor network configuration
    Li‐Hua Yang, Xiaofei Qi, Jinchuan Hou · 2023 · The European Physical Journal Plus
73. Quantum steering in two-forked tree-shaped networks
    Shuyuan Yang, Kan He, Xiaofei Qi, Jinchuan Hou · 2023 · Physica Scripta
74. Tensor network state methods and quantum information theory for strongly correlated molecular systems
    Miklós Antal Werner, Andor Menczer, Örs Legeza · 2025 · Advances in quantum chemistry
75. Schmidt gap and quantum phase transitions in the XXZ model under external field on the Bethe lattice
    Guanghua Liu, Wei Li, Wen‐Long You, Gang Su, Guang-Shan Tian · 2013 · Europhysics Letters (EPL)
76. Time evolution of the quantum Ising model in two dimensions using tree tensor networks
    Wladislaw Krinitsin, Niklas Tausendpfund, Markus Heyl, Matteo Rizzi, Markus Schmitt · 2025 · Physical review. B./Physical review. B
77. TensorKrowch: Smooth integration of tensor networks in machine learning
    José Ramón Pareja Monturiol, David Pérez-Garcı́a, Alejandro Pozas-Kerstjens · 2024 · Quantum
78. Vibrational Entanglement through the Lens of Quantum Information Measures
    Nina Glaser, Alberto Baiardi, Annina Z. Lieberherr, Markus Reiher · 2024 · Repository for Publications and Research Data (ETH Zurich)
79. Automatic structural search of tensor network states including entanglement renormalization
    Ryo Watanabe, Hiroshi Ueda · 2024 · Physical Review Research
80. A multi-layer multi-configurational time-dependent Hartree approach to lattice models beyond one dimension
    Tristan Niermann, Hannes Hoppe, Uwe Manthe · 2024 · The Journal of Chemical Physics
81. Finite-size scaling on the torus with periodic projected entangled-pair states
    Gleb Fedorovich, Lukas Devos, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete, Atsushi Ueda · 2025 · Physical review. B./Physical review. B
82. Simulation of quantum many-body systems on Amazon cloud
    Justin A. Reyes, Dan Cristian Marinescu, Eduardo R. Mucciolo · 2020 · Computer Physics Communications
83. Tensor Network for Image Classification
    Guoming Chen, Qiang Chen, Xiongyong Zhu, Yiqun Chen, Zeduo Yuan · 2020 · International Conference on Digital Home (ICDH)
84. Equilibration in two-dimensional Bose systems with disorders
    Miroslav Urbánek, Pavel Soldán · 2018 · The European Physical Journal D
85. Numerical Approaches for High-Dimensional PDEs for Quantum Chemistry
    Reinhold Schneider, Thorsten Rohwedder, Örs Legeza · 2015 · Springer eBooks
86. Mixed-Precision Ab Initio Tensor Network State Methods Adapted for NVIDIA Blackwell Technology via Emulated FP64 Arithmetic
    Cole Brower, Samuel Rodriguez Bernabeu, Jeff R. Hammond, John A. Gunnels, Sotiris S. Xantheas, Martin Ganahl, Andor Menczer, Örs Legeza · 2026 · Journal of Chemical Theory and Computation
87. Stacked tree construction for free-fermion projected entangled pair states
    Yuman He, Kangle Li, Yanbai Zhang, Hoi Chun Po · 2024 · Physical Review Research
88. Stochastic parameter optimization analysis of dynamical quantum critical phenomena in the long-range transverse-field Ising chain
    Sora Shiratani, Synge Todo · 2024 · Physical review. E
89. TTNOpt: Tree tensor network package for high-rank tensor compression
    Ryo Watanabe, Hidetaka Manabe, Toshiya Hikihara, Hiroshi Ueda · 2025 · Computer Physics Communications
90. UNO DMRG CASCI calculations of effective exchange integrals form-phenylene-bis-methylene spin clusters
    Takashi Kawakami, Shinsuke Sano, Tôru Saitô, Sandeep Sharma, Mitsuo Shoji, Satoru Yamada, Yu Takano, Shusuke Yamanaka, Mitsutaka Okumura, Takahito Nakajima et al. · 2017 · Molecular Physics
91. Density matrix renormalization group for ab initio quantum chemistry Hamiltonian
    Haibo Ma, Ulrich Schollwöck, Zhigang Shuai · 2022 · Elsevier eBooks
92. Hot-Start Optimization for Variational Quantum Eigensolver
    Belozerova Polina, Shangareev Arthur, Zotov Yuriy, Yung Manhong, Dingshun Lv · 2021 · arXiv (Cornell University)
93. Seeding neural network quantum states with tensor network states
    Ryui Kaneko, Shimpei Goto · 2025 · Physical review. B./Physical review. B
94. Simulating quantum circuits with tree tensor networks using density-matrix renormalization group algorithm
    Aditya Dubey, Zeki Zeybek, Peter Schmelcher · 2025 · Physical review. B./Physical review. B
95. Simulating dynamics of the two-dimensional transverse-field Ising model: A comparative study of large-scale classical numerics
    Joseph Vovrosh, Sergi Julià-Farré, Wladislaw Krinitsin, Michael Kaicher, F. J. Hayes, Emmanuel Gottlob, Augustine Kshetrimayum, Kemal Bidzhiev, Simon B. Jäger, Markus Schmitt et al. · 2026 · Physical Review Research
96. Dynamical and Critical Properties of Bosonic Quantum Impurity Models A Density Matrix Renormalization Group study
    Benedikt Bruognolo · 2013
97. Persistency of quantum non-multi-local correlations in noisy acyclic networks
    Shuyuan Yang, Jinchuan Hou, Kan He · 2024 · Physica Scripta
98. Low-Cost Generation of Optimal Molecular Orbitals for Multireference CI Expansion: Natural Orbitals Versus Rényi Entropy Minimized Orbitals Provided by the Density Matrix Renormalization Group
    Klára Petrov, Zsolt Benedek, Ádám Ganyecz, Gergely Barcza, András Olasz, Örs Legeza · 2024 · Progress in theoretical chemistry and physics
99. Optimal sampling of tensor networks targeting wave function's fast decaying tails
    Marco Ballarin, Pietro Silvi, Simone Montangero, Daniel Jaschke · 2025 · Quantum
100. Existence of the 1/2 magnetization plateau in the S=1 Ising model with single-ion anisotropy on Z=3 Bethe lattice
     Guanghua Liu, Wei Li, Xiao-Yan Deng, Gang Su, Guang-Shan Tian · 2013 · Solid State Communications