Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law

Cited by (261)

Items 101–200 of 261

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3. Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
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4. Automatic structural optimization of tree tensor networks
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5. Entanglement entropy and the complex plane of replicas
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7. Tensor Networks for Interpretable and Efficient Quantum-Inspired Machine Learning
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9. Lectures on Quantum Tensor Networks
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10. Superfluid-to-Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation
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13. Tree tensor networks and entanglement spectra
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15. Simulating quantum circuits using tree tensor networks
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16. Density-Matrix Renormalization Group Study of Kitaev–Heisenberg Model on a Triangular Lattice
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18. Practical overview of image classification with tensor-network quantum circuits
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19. Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks
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20. Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus
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21. Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states
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22. Emergence of string valence-bond-solid state in the frustrated J1−J2 transverse field Ising model on the square lattice
    M. Sadrzadeh, Reza Haghshenas, Saeed S. Jahromi, A. Langari · 2016 · Physical review. B./Physical review. B
23. Density matrix renormalization group for bosonic quantum Hall effect
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24. Language Design as Information Renormalization
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25. Quantum criticality and entanglement for the two-dimensional long-range Heisenberg bilayer
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26. Tensor network language model
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27. Efficient evaluation of high-order moments and cumulants in tensor network states
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28. Abelian and non-abelian symmetries in infinite projected entangled pair states
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29. On the descriptive power of Neural-Networks as constrained Tensor Networks with exponentially large bond dimension
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30. Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
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31. Entanglement entropy of the long-range Dyson hierarchical model
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32. Tangent-space gradient optimization of tensor network for machine learning
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33. Quantum Nonlocality in Any Forked Tree-Shaped Network
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34. Entanglement bipartitioning and tree tensor networks
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35. Variational optimization of the amplitude of neural-network quantum many-body ground states
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37. Simulating quantum systems on the Bethe lattice by translationally invariant infinite-tree tensor network
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38. Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants
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41. Entanglement of Formation of Mixed Many-Body Quantum States via Tree Tensor Operators
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42. Configuration interaction trained by neural networks: Application to model polyaromatic hydrocarbons
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44. Phase diagram of the isotropic spin- 32 model on the z=3 Bethe lattice
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45. Uhlmann fidelities from tensor networks
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46. Disentangling sources of quantum entanglement in quench dynamics
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47. Number-state preserving tensor networks as classifiers for supervised learning
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48. Conformal Bounds in Three Dimensions from Entanglement Entropy
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49. Two-dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
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50. Hybrid Tree Tensor Networks for Quantum Simulation
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51. 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
52. 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
53. From tree tensor network to multiscale entanglement renormalization ansatz
    Xiangjian Qian, Mingpu Qin · 2022 · Physical review. B./Physical review. B
54. Tensor network methods with graph enhancement
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55. Tensor network state correspondence and holography
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56. Stochastic resonance in vibrational polariton chemistry
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57. Entropy perspective on the thermal crossover in a fermionic Hubbard chain
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58. Monogamy of entanglement and improved mean-field ansatz for spin lattices
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59. Homogeneous multiscale entanglement renormalization ansatz tensor networks for quantum critical systems
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60. Towards a polynomial algorithm for optimal contraction sequence of tensor networks from trees
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61. Holographic unitary renormalization group for correlated electrons - I: A tensor network approach
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62. Tensor-network strong-disorder renormalization groups for random quantum spin systems in two dimensions
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63. Time dependent variational principle for tree Tensor Networks
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64. Definitions of entanglement entropy of spin systems in the valence-bond basis
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65. Capturing Long-Range Memory Structures with Tree-Geometry Process Tensors
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66. Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
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67. Tensor renormalization group centered about a core tensor
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68. Multireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
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69. Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study
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70. Efficient simulations of epidemic models with tensor networks: Application to the one-dimensional susceptible-infected-susceptible model
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71. Benchmarking Vibrational Spectra: 5000 Accurate Eigenstates of Acetonitrile Using Tree Tensor Network States
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72. Uniform Matrix Product State in the Thermodynamic Limit
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73. Entanglement-based tensor-network strong-disorder renormalization group
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74. MATRIX PRODUCT STATE REPRESENTATION FOR SLATER DETERMINANTS AND CONFIGURATION INTERACTION STATES
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75. Matrix Product State representation for Slater Determinants and Configuration Interaction States
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76. State diagrams to determine tree tensor network operators
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77. Single-layer tensor network approach for three-dimensional quantum systems
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78. Survey on Computational Applications of Tensor-Network Simulations
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79. Simulation of Anyons Using Symmetric Tensor Network Algorithms
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80. Variational quantum eigensolver with embedded entanglement using a tensor-network ansatz
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81. Emergent magnetic order in the antiferromagnetic Kitaev model in a [111] field
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82. Charge and Spin Sharpening Transitions on Dynamical Quantum Trees
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86. Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
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87. Quantum steering in two-forked tree-shaped networks
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88. Image classification by combining quantum kernel learning and tensor networks
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89. Schmidt gap and quantum phase transitions in the XXZ model under external field on the Bethe lattice
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90. Time evolution of the quantum Ising model in two dimensions using tree tensor networks
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