SciPost Physics Codebases

The ITensor Software Library for Tensor Network Calculations

Matthew Fishman, Steven R. White, E. Miles Stoudenmire

SciPost Phys. Codebases 4 (2022) · published 23 August 2022

• doi: 10.21468/SciPostPhysCodeb.4
• pdf
• live repo (external)
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interface rules out common programming errors and enables rapid prototyping of tensor network algorithms. After discussing the philosophy behind the ITensor approach, we show examples of each part of the interface including Index objects, the ITensor product operator, tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, quantum number conserving block-sparse tensors, and the NDTensors library. We also review publications that have used ITensor for quantum many-body physics and for other areas where tensor networks are increasingly applied. To conclude we discuss promising features and optimizations to be added in the future.

• Serwatka et al., Quantum Phase Transition in the One-Dimensional Water Chain
  Phys. Rev. Lett. 130, 026201 (2023) [Crossref]
• Bernier et al., Spatiotemporal quenches in long-range Hamiltonians
  Phys. Rev. B 108, 024310 (2023) [Crossref]
• Mikkelsen et al., Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU(N) Hubbard models
  Phys. Rev. A 107, 043313 (2023) [Crossref]
• Aikebaier et al., Extracting electronic many-body correlations from local measurements with artificial neural networks
  SciPost Phys. Core 6, 030 (2023) [Crossref]
• Hu et al., Spontaneous symmetry breaking without ground state degeneracy in generalized N -state clock model
  Phys. Rev. B 107, 195139 (2023) [Crossref]
• Ciavarella et al., Preparation for quantum simulation of the (1+1) -dimensional O(3) nonlinear σ model using cold atoms
  Phys. Rev. A 107, 042404 (2023) [Crossref]
• Tibaldi et al., Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions
  SciPost Phys. 14, 005 (2023) [Crossref]
• Haug et al., Quantifying nonstabilizerness of matrix product states
  Phys. Rev. B 107, 035148 (2023) [Crossref]
• Schäfer et al., Abundance of Hard-Hexagon Crystals in the Quantum Pyrochlore Antiferromagnet
  Phys. Rev. Lett. 131, 096702 (2023) [Crossref]
• Lisandrini et al., Majorana edge modes in a spinful-particle conserving model
  Phys. Rev. B 106, 245121 (2022) [Crossref]
• Ghosh, Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
  Phys. Rev. B 108, 014426 (2023) [Crossref]
• Sierant et al., Slow dynamics of a mobile impurity interacting with an Anderson insulator
  Phys. Rev. B 107, 144201 (2023) [Crossref]
• Carisch et al., Efficient separation of quantum from classical correlations for mixed states with a fixed charge
  Quantum 7, 954 954 (2023) [Crossref]
• M. Oliveira et al., Efficient quantum information probes of nonequilibrium quantum criticality
  npj Quantum Inf 9, 6 (2023) [Crossref]
• Ejima et al., Photoinduced pairing in Mott insulators
  SciPost Phys. Proc., 009 (2023) [Crossref]
• Manna et al., Thermal Drude weight in an integrable chiral clock model
  Phys. Rev. B 108, 054304 (2023) [Crossref]
• Sajjan et al., Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations
  157, 224111 (2022) [Crossref]
• Okuda, Schwinger model on an interval: Analytic results and DMRG
  Phys. Rev. D 107, 054506 (2023) [Crossref]
• Tu et al., Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
  Phys. Rev. B 108, 064313 (2023) [Crossref]
• Blesio et al., Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
  Phys. Rev. B 107, 134418 (2023) [Crossref]
• Lambert et al., State space geometry of the spin-1 antiferromagnetic Heisenberg chain
  Phys. Rev. B 107, 174427 (2023) [Crossref]
• Ng et al., Real-time evolution of Anderson impurity models via tensor network influence functionals
  Phys. Rev. B 107, 125103 (2023) [Crossref]
• Zhao et al., One-dimensional Holstein model revisited
  Phys. Rev. B 107, 075142 (2023) [Crossref]
• Landa et al., Nonlocal correlations in noisy multiqubit systems simulated using matrix product operators
  SciPost Phys. Core 6, 037 (2023) [Crossref]
• Li et al., Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
  Phys. Rev. Research 5, 033071 (2023) [Crossref]
• Herviou et al., Even-odd effects in the J1−J2 SU(N) Heisenberg spin chain
  Phys. Rev. B 107, 205135 (2023) [Crossref]
• Malone et al., ipie: A Python-Based Auxiliary-Field Quantum Monte Carlo Program with Flexibility and Efficiency on CPUs and GPUs
  J. Chem. Theory Comput. 19, 109 (2023) [Crossref]
• Zhang et al., Extracting Quantum Many-Body Scarred Eigenstates with Matrix Product States
  Phys. Rev. Lett. 131, 020402 (2023) [Crossref]
• Wang, Quantum z=2 Lifshitz criticality in one-dimensional interacting fermion systems
  Phys. Rev. B 108, L081112 (2023) [Crossref]
• Lee et al., Triangular lattice Hubbard model physics at intermediate temperatures
  Phys. Rev. B 107, 235105 (2023) [Crossref]
• Viteritti et al., Transformer Variational Wave Functions for Frustrated Quantum Spin Systems
  Phys. Rev. Lett. 130, 236401 (2023) [Crossref]
• Brehmer et al., Reduced basis surrogates for quantum spin systems based on tensor networks
  Phys. Rev. E 108, 025306 (2023) [Crossref]
• Perciavalle et al., Controlled flow of excitations in a ring-shaped network of Rydberg atoms
  Phys. Rev. A 108, 023305 (2023) [Crossref]
• Potapova et al., Dimensional crossover on multileg attractive- U Hubbard ladders
  Phys. Rev. A 107, 053301 (2023) [Crossref]
• Jin et al., Bond-dependent slave-particle cluster theory based on density matrix expansion
  Phys. Rev. B 107, 115153 (2023) [Crossref]
• Baran et al., Reduced basis emulation of pairing in finite systems
  Phys. Rev. B 107, 144503 (2023) [Crossref]
• Shinaoka et al., Multiscale Space-Time Ansatz for Correlation Functions of Quantum Systems Based on Quantics Tensor Trains
  Phys. Rev. X 13, 021015 (2023) [Crossref]
• Zhang et al., Pseudogap metal and magnetization plateau from doping moiré Mott insulator
  SciPost Phys. Core 6, 038 (2023) [Crossref]
• Udono et al., Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
  Phys. Rev. B 108, L081304 (2023) [Crossref]
• Halati et al., Bose-Hubbard triangular ladder in an artificial gauge field
  Phys. Rev. Research 5, 013126 (2023) [Crossref]
• Chen et al., Committor functions via tensor networks
  Journal of Computational Physics 472, 111646 111646 (2023) [Crossref]
• Jiang et al., Pairing properties of the t−t′−t″−J model
  Phys. Rev. B 106, 174507 (2022) [Crossref]
• Di Liberto et al., Chiral orbital order of interacting bosons without higher bands
  Phys. Rev. Research 5, 023064 (2023) [Crossref]
• Pasnoori et al., Boundary quantum phase transitions in the spin- 12 Heisenberg chain with boundary magnetic fields
  Phys. Rev. B 107, 224412 (2023) [Crossref]
• Lau et al., Atomtronic multiterminal Aharonov-Bohm interferometer
  Phys. Rev. A 107, L051303 (2023) [Crossref]
• Yu et al., Quantum criticality of a Z3 -symmetric spin chain with long-range interactions
  Phys. Rev. E 107, 054122 (2023) [Crossref]
• Van Vu et al., Topological Speed Limit
  Phys. Rev. Lett. 130, 010402 (2023) [Crossref]
• Wei et al., Efficient adiabatic preparation of tensor network states
  Phys. Rev. Research 5, L022037 (2023) [Crossref]
• Li et al., Exploring dynamical quantum phase transitions in a spin model with deconfined critical point via the quantum steering ellipsoid
  Phys. Rev. B 107, 085130 (2023) [Crossref]
• Köhler et al., Exploring disordered quantum spin models with a multilayer multiconfigurational approach
  Phys. Rev. Research 5, 023135 (2023) [Crossref]
• Zhao et al., Maximum-likelihood-estimate Hamiltonian learning via efficient and robust quantum likelihood gradient
  Phys. Rev. Research 5, 023136 (2023) [Crossref]
• Korbmacher et al., Lattice control of nonergodicity in a polar lattice gas
  Phys. Rev. A 107, 013301 (2023) [Crossref]
• Riedel et al., WaveTrain: A Python package for numerical quantum mechanics of chain-like systems based on tensor trains
  158, 164801 (2023) [Crossref]
• Wang et al., Validity of SLAC fermions for the (1+1) -dimensional helical Luttinger liquid
  Phys. Rev. B 108, 045105 (2023) [Crossref]
• Wu et al., From tensor-network quantum states to tensorial recurrent neural networks
  Phys. Rev. Research 5, L032001 (2023) [Crossref]
• Shen et al., Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
  Phys. Rev. Lett. 131, 080403 (2023) [Crossref]
• Ravindranath et al., Entanglement steering in adaptive circuits with feedback
  Phys. Rev. B 108, L041103 (2023) [Crossref]
• Azses et al., Symmetry-resolved entanglement of two-dimensional symmetry-protected topological states
  Phys. Rev. B 107, 115113 (2023) [Crossref]
• del Pozo et al., Fractional topology in interacting one-dimensional superconductors
  Phys. Rev. B 107, 155134 (2023) [Crossref]
• Franchi et al., Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
  Phys. Rev. E 107, 014113 (2023) [Crossref]
• Serwatka et al., Optimized basis sets for DMRG calculations of quantum chains of rotating water molecules
  158, 214103 (2023) [Crossref]
• Fishman et al., Codebase release 0.3 for ITensor
  SciPost Phys. Codebases, 4-r0.3 (2022) [Crossref]
• Sun et al., Multipartite nonlocality and symmetry breaking in one-dimensional quantum chains
  Phys. Rev. A 107, 052216 (2023) [Crossref]
• Gao et al., Automatic transformation of irreducible representations for efficient contraction of tensors with cyclic group symmetry
  SciPost Phys. Codebases, 10 (2023) [Crossref]
• Sherman et al., Spectral function of the J1−J2 Heisenberg model on the triangular lattice
  Phys. Rev. B 107, 165146 (2023) [Crossref]
• Osterloh et al., Exact one-particle density matrix for SU(N) fermionic matter-waves in the strong repulsive limit
  SciPost Phys. 15, 006 (2023) [Crossref]
• Catarina et al., Density-matrix renormalization group: a pedagogical introduction
  Eur. Phys. J. B 96, 111 (2023) [Crossref]
• Brighi et al., Many-body localization proximity effect in a two-species bosonic Hubbard model
  Phys. Rev. B 108, 054201 (2023) [Crossref]
• Bose, QuantumDynamics.jl: A modular approach to simulations of dynamics of open quantum systems
  158, 204113 (2023) [Crossref]
• Lee et al., Rydberg-dressed spin-1/2 Fermi gases in one dimension
  Phys. Rev. A 107, 053307 (2023) [Crossref]
• Peacock et al., Many-body delocalization from embedded thermal inclusion
  Phys. Rev. B 108, L020201 (2023) [Crossref]
• Rut et al., Mott Transition in the Hubbard Model on Anisotropic Honeycomb Lattice with Implications for Strained Graphene: Gutzwiller Variational Study
  IJMS 24, 1509 (2023) [Crossref]
• Ke, Tree tensor network state approach for solving hierarchical equations of motion
  158, 211102 (2023) [Crossref]
• Drost et al., Real-Space Imaging of Triplon Excitations in Engineered Quantum Magnets
  Phys. Rev. Lett. 131, 086701 (2023) [Crossref]
• Miyamoto et al., Extracting a function encoded in amplitudes of a quantum state by tensor network and orthogonal function expansion
  Quantum Inf Process 22, 239 (2023) [Crossref]
• Feng et al., Bose-Einstein condensation in honeycomb dimer magnets and Yb2Si2O7
  Phys. Rev. B 107, 205150 (2023) [Crossref]
• Preisser et al., Comparing bipartite entropy growth in open-system matrix-product simulation methods
  Phys. Rev. A 108, 012616 (2023) [Crossref]
• Kundu et al., PathSum: A C++ and Fortran suite of fully quantum mechanical real-time path integral methods for (multi-)system + bath dynamics
  158, 224801 (2023) [Crossref]
• Tarabunga et al., Classification and emergence of quantum spin liquids in chiral Rydberg models
  Phys. Rev. B 108, 075118 (2023) [Crossref]
• Çeven et al., Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
  Phys. Rev. A 106, 063320 (2022) [Crossref]
• Serwatka et al., Ferroelectric water chains in carbon nanotubes: Creation and manipulation of ordered quantum phases
  157, 234301 (2022) [Crossref]
• Ravindranath et al., Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
  Phys. Rev. Lett. 130, 230402 (2023) [Crossref]
• Papastathopoulos-Katsaros et al., Symmetry-projected cluster mean-field theory applied to spin systems
  159, 084107 (2023) [Crossref]
• De Filippis et al., Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
  Phys. Rev. Lett. 130, 210404 (2023) [Crossref]
• Jansen et al., Thermal and optical conductivity in the Holstein model at half filling and finite temperature in the Luttinger-liquid and charge-density-wave regime
  Phys. Rev. B 108, L081114 (2023) [Crossref]
• Hu et al., Hopping-induced quantum phase transition in the Ising-Rabi lattice model
  Phys. Rev. A 108, 023723 (2023) [Crossref]
• Kohn et al., Kondo nanomechanical dissipation in the driven Anderson impurity model
  Phys. Rev. B 107, 035415 (2023) [Crossref]
• Jiang et al., Where is the Quantum Spin Nematic?
  Phys. Rev. Lett. 130, 116701 (2023) [Crossref]
• Beradze et al., Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
  Phys. Rev. B 108, 075146 (2023) [Crossref]
• Dağ et al., Detecting quantum phase transitions in the quasistationary regime of Ising chains
  Phys. Rev. B 107, 094432 (2023) [Crossref]
• Lake et al., Non-Fermi Liquids from Kinetic Constraints in Tilted Optical Lattices
  Phys. Rev. Lett. 131, 043403 (2023) [Crossref]
• Yu et al., Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
  Phys. Rev. B 106, 165124 (2022) [Crossref]
• Diniz et al., Majorana correlations in quantum impurities coupled to a topological wire
  Phys. Rev. B 107, 045121 (2023) [Crossref]
• Serwatka et al., Quantum Criticality and Universal Behavior in Molecular Dipolar Lattices of Endofullerenes
  J. Phys. Chem. Lett. 14, 5586 (2023) [Crossref]
• Chetcuti et al., Probe for bound states of SU(3) fermions and colour deconfinement
  Commun Phys 6, 128 (2023) [Crossref]
• Sørensen et al., Islands of chiral solitons in integer-spin Kitaev chains
  Phys. Rev. Research 5, 013210 (2023) [Crossref]
• Song et al., Doping asymmetry in the three-band Hamiltonian for cuprate ladders: Failure of the standard model of superconductivity in cuprates
  Phys. Rev. B 107, L241108 (2023) [Crossref]
• Amsler et al., Classical and quantum trial wave functions in auxiliary-field quantum Monte Carlo applied to oxygen allotropes and a CuBr2 model system
  159, 044119 (2023) [Crossref]
• Araz et al., Toward a quantum simulation of nonlinear sigma models with a topological term
  Phys. Rev. A 107, 032619 (2023) [Crossref]