The ITensor Software Library for Tensor Network Calculations
arXiv:2007.14822 · doi:10.21468/SciPostPhysCodeb.4
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.
Submitted to SciPost Physics Codebases. Version 2 contains benchmarks of ITensor C++ and Julia versions, and link to external benchmarks including TeNPy software
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- Coherent exchange-coupled nonlocal Kondo impurities
- Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
- Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
- Dominant Kitaev interaction and field-induced quantum phase transitions in triangular-lattice KCeSe2
- Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- Quantum Coherence of Topologically Frustrated Spin Chains
- Role of Matter Interactions in Superradiant Phenomena
- Fully numerical Hartree-Fock calculations for atoms and small molecules with quantics tensor trains
- Deconfined criticality as intrinsically gapless topological state in one dimension
- Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
- Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
- Two Channel Kondo behavior in the quantum XX chain with a boundary defect
- Spectral properties of fractionalized Shiba states
- Learning interactions between Rydberg atoms
- Hamiltonian-learning quantum magnets with non-local impurity tomography
- Entangled states from sparsely coupled spins for metrology with neutral atoms
- Pair Approximating the Action For Molecular Rotations in Path Integral Monte Carlo
- Exploiting the Hermitian symmetry in tensor network algorithms
- Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
- Compact Multi-Threshold Quantum Information Driven Ansatz For Strongly Interactive Lattice Spin Models
- Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model
- Density-Dependent Gauge Field with Raman Lattices
- Edge Spin fractionalization in one-dimensional spin- quantum antiferromagnets
- Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method
- Protecting Quantum Information via Many-Body Dynamical Localization
- One-dimensional extended Hubbard model coupled with an optical cavity
- Quantum Simulation with Gauge Fixing: from Ising Lattice Gauge Theory to Dynamical Flux Model
- DanceQ: High-performance library for number-conserving bases
- Refined Phase Diagram for a Spin-1 System Exhibiting a Haldane Phase
- Hamiltonian Learning of Triplon Excitations in an Artificial Nanoscale Molecular Quantum Magnet
- Tensor network simulations for nonorientable surfaces
- Quantum phase transition driven by competing intralayer and interlayer hopping in bilayer nickelates
- Kibble-Zurek mechanism and errors of gapped quantum phases
- Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
- Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
- Optimal encoding of two dissipative interacting qubits
- Competing order in two-band Bose-Hubbard chains with extended-range interactions
- Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
- Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
- A solvable model for graph state decoherence dynamics
- Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
- Quantum order by disorder in Frustrated Spin Nanotubes
- Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
- Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
- The one-dimensional Holstein model revisited
- Emergent Spin Supersolids in Frustrated Quantum Materials
- Simulating spin dynamics with quantum computers
- Mixed-spin Heisenberg ladders in a magnetic field
- Efficient quantum information probes of non-equilibrium quantum criticality
- Efficient optimization and conceptual barriers in variational finite Projected Entangled-Pair States
- The landscape of software for tensor computations
- Nonstabilizerness generation in a multiparticle quantum walk
- Simulating Quantum Turbulence with Matrix Product States
- Quantum Strong-to-Weak Spontaneous Symmetry Breaking in Decohered One Dimensional Critical States
- Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
- A Quantum-Inspired Algorithm for Wave Simulation Using Tensor Networks
- Identification of gapless phases by a twisting operator
- Chiral Gravitons on the Lattice
- The Cytnx Library for Tensor Networks
- Mott Transition and Volume Law Entanglement with Neural Quantum States
- Counterflow of lattice polarons in harmonically confined optical lattices
- Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional - model
- Random displacements in critical Rydberg atom arrays
- String breaking dynamics in Ising chain with local vibrations
- Thermal nature of confining strings
- Quantum fluctuating theory for one-dimensional shock waves
- Redundant string symmetry-based error correction: Demonstrations on quantum devices
- Position-space sampling for local multiquark operators in lattice QCD using distillation and the importance of tetraquark operators for
- Spectroscopic Feature of Quantum Many-Body Scar States
- Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
- Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers
- Chemical master equation parameter exploration using DMRG
- Unveiling Stripe-shaped Charge Density Modulations in Doped Mott Insulators
- Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm
- Eleven Competing Phases in the Heisenberg-Gamma (J) Ladder
- Dynamics of spin helices in the diluted one-dimensional model
- Thermal Drude weight in an integrable chiral clock model
- Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
- WaveTrain: A Python Package for Numerical Quantum Mechanics of Chain-Like Systems Based on Tensor Trains
- Quantum Lifshitz criticality in one-dimensional interacting fermions
- A scalable 2-local architecture for quantum annealing of Ising models with arbitrary dimensions
- Clifford-Dressed Variational Principles for Precise Loschmidt Echoes
- Self-consistent tensor network method for correlated super-moiré matter beyond one billion sites
- Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
- Efficient optical cat state generation using squeezed few-photon superposition states
- Pseudocriticality in antiferromagnetic spin chains
- Phase diagram of Rydberg atoms in a two-leg rectangular ladder
- Counter-intuitive yet efficient regimes for measurement based quantum computation on symmetry protected spin chains
- Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain
- A Practical Introduction to Tensor Network Renormalization with TNRKit.jl
- Preparation Circuits for Matrix Product States by Classical Variational Disentanglement
- Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
- Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
- Structural transition, spontaneous formation of strong singlet dimers and metamagnetism in magnetoelastic spin chains
- Dynamic scaling and Family-Vicsek universality in quantum spin chains
- Ground-State Properties of the - Model for the CuO Double-Chain Structure
- Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
- Ring-exchange physics in a chain of three-level ions
- Unsupervised Detection of Topological Phase Transitions with a Quantum Reservoir
- Diagnosing quantum transport from wave function snapshots
- Local dynamics and detection of topology in spin-1 chains
- Quantum Fisher information as a witness of non-Markovianity and criticality in the spin-boson model
- Adaptive sampling-based optimization of quantics tensor trains for noisy functions: applications to quantum simulations
- Probing Hilbert space fragmentation using controlled dephasing
- Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
- Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
- Spectroscopy and complex-time correlations using minimally entangled typical thermal states
- Searching for superconductivity in doped triangular lattice Kitaev magnets
- Underscreened Kondo Compensation in a Superconductor
- Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI
- Quantum Entanglement Phase Transitions and Computational Complexity: Insights from Ising Models
- A simple electronic ladder model harboring parafermions
- Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
- Quantifying the Phase Diagram and Hamiltonian of Kagome Antiferromagnets: Bridging Theory and Experiment
- Kondo Screening Cloud Scaling: Impurity Entanglement and Magnetization
- Measurement-Induced Entanglement in Conformal Field Theory
- Universal Freezing Transitions of Dipole-Conserving Chains
- Stabilizer Rényi Entropy for Translation-Invariant Matrix Product States
- Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
- Density Matrix Renormalization Group study of superconducting pairing near the quarter-filled Wigner crystal
- Ground State Phase Diagram of - Chain
- Learning out-of-time-ordered correlators with classical kernel methods
- Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture
- Quick design of feasible tensor networks for constrained combinatorial optimization
- Spin Seebeck effect of interacting spinons
- Transmigration of Edge States with Interaction in Su-Schrieffer-Heeger Chain
- Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas
- Scaling up the transcorrelated density matrix renormalization group
- Frequency-selective amplification of nonlinear response in strongly correlated bosons
- Space-time first-order correlations of an open Bose-Hubbard model with incoherent pump and loss
- Influence of oxygen orbitals and boundary conditions on the pairing behavior in the Emery model for doped ladders
- Spatiotemporal Quenches in Long-Range Hamiltonians
- Tensor network method for real-space topology in quasicrystal Chern mosaics
- Instability of steady-state mixed-state symmetry-protected topological order to strong-to-weak spontaneous symmetry breaking
- Real space thermalization of locally driven quantum magnets
- Quantum Magnetic Skyrmions on Kondo-type Lattices
- Nonperturbative decay of bipartite discrete time crystals
- Self-congruent point in critical matrix product states: An effective field theory for finite-entanglement scaling
- Charge-order melting in the one-dimensional Edwards model
- Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics
- Gauge-Fixing Quantum Density Operators At Scale
- Modularized and Scalable Compilation for Double Quantum Dot Quatum Computing
- Non-onsite symmetry breaking: topological phase coexistence and criticality
- Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with spectrum
- Robustness of near-thermal dynamics on digital quantum computers
- Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
- Using magnetic dynamics to measure the spin gap in a candidate Kitaev material
- Emergent dynamical quantum phase transition in a symmetric chiral clock model
- Fractionalized Kohn-Sham Scheme for Strongly Correlated Electrons
- Computational Characterization of Symmetry-Protected Topological Phases in Open Quantum Systems
- A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains
- Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
- Charge creation via quantum tunneling in one-dimensional Mott insulators: A numerical study of the extended Hubbard model
- Anomalous enhancement of Neel order in the square lattice Heisenberg model under fictitious magnetic field
- Sample complexity of matrix product states at finite temperature
- Robust preparation of ground state phases under noisy imaginary time evolution
- Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
- Rydberg dressed spin-1/2 Fermi gases in one dimension
- Emergence of topological states in relaxation dynamics of interacting bosons
- Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
- Stability of thermal equilibrium in long-range quantum systems
- Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
- Bond-dependent slave-particle cluster theory based on density matrix expansion
- Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
- Superdiffusive transport in chaotic quantum systems with nodal interactions
- Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method
- Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States
- Seeding neural network quantum states with tensor network states
- The ITransverse.jl library for transverse tensor network contractions
- Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
- Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories
- Probing the many-body localized spin-glass phase through quench dynamics
- Kondo nanomechanical dissipation in the driven Anderson impurity model
- Realization of Two-dimensional Discrete Time Crystals with Anisotropic Heisenberg Coupling
- Emergent Dispersive Multipolar Excitations in NaErSe
- Anticoncentration in Clifford Circuits and Beyond: From Random Tensor Networks to Pseudo-Magic States
- Tunable Magnetic Order in Chiral Coupled Spin Chains
- Trimers in the Extended Hubbard Model
- Instability of the Haldane Phase: Roles of Charge Fluctuations and Hund's Coupling
- Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
- High-temperature partition functions and classical simulatability of long-range quantum systems
- Quantum Fisher information from tensor network integration of Lyapunov equation
- Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
- Growth of a renormalized operator as a probe of chaos
- Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
- Frustrated Bose ladder with extended range density-density interaction
- Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
- Superdiffusion resilience in Heisenberg Chains with 2D interactions on a quantum processor
- Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
- Mixed-state learnability transitions in monitored noisy quantum dynamics
- Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective
- Overcoming disorder in superconducting globally driven quantum computing
- Engineering a Josephson junction chain for the simulation of the clock model
- Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver
- The Software Landscape for the Density Matrix Renormalization Group
- Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
- Density-Matrix Mean-Field Theory
- Einstein relation for subdiffusive relaxation in Stark chains
- DC electric field driven discretization of single-particle excitation spectra in a Mott insulator
- Learning mixed quantum states in large-scale experiments
- Anisotropy-induced spin parity effects
- Emergent Symmetry and Phase Transitions on the Domain Wall of Topological Orders
- Qubit encodings for lattices of dipolar planar rotors
- Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
- Geometrically Taming Dynamical Entanglement Growth in Purified Quantum States
- Learning Variational Quantum Circuit Parameters with Classical Artificial Intelligence for Quantum Phase Transition Detection
- A quantum eigenvalue solver based on tensor networks
- Imaginary Time Spectral Transforms for Excited State Preparation
- Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
- Edge Reconstruction in a Quantum Spin Hall Insulator
- Universal scaling of higher-order cumulants in quantum isotropic spin chains
- A Unsupervised Framework for Identifying Diverse Quantum Phase Transitions Using Classical Shadow Tomography
- Magnetic response and antiferromagnetic correlations in strained kagome ribbons
- Skyrmionic Schrödinger cat states in monoaxial chiral magnets
- Protecting Hilbert space fragmentation through quantum Zeno dynamics
- Transverse Field -Matrix Spin Chains
- Confinement, deconfinement, and bound states in the spin- and spin- generalizations of the Majumdar--Ghosh chain
- Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function
- Trade-off between diagonal and off-diagonal elements in the eigenstate thermalization hypothesis
- Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
- Emergent dipole field theory in atomic ladders
- Anomalous Quantum Relaxation in the Infinite Temperature Hubbard Chain
- Quantum Supercritical Crossover with Dynamical Singularity
- Anderson localization: a density matrix approach
- Two-dimensional - clock model: Enhanced symmetries, emergent orders, and Landau-incompatible transitions
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
- Quantum Hall correlations in tilted extended Bose-Hubbard chains
- Operator dependence and robustness of spacetime-localized response in a quantum critical spin chain
- Temporal Entanglement Transitions in the Periodically Driven Ising Chain
- Utility-Scale Quantum State Preparation: Classical Training using Pauli Path Simulation
- Entanglement-enhanced correlation propagation in the one-dimensional SU() Fermi-Hubbard model
- Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays
- Order by projection in single-band Hubbard model: a DMRG study
- Two topological phases in exchange alternating spin-1 nanographene chains
- Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
- Universal Relations in Long-range Quantum Spin Chains
- Photoinduced pairing in Mott insulators
- Laser-Induced Commensurate-Incommensurate Transition of Charge Order in a Hubbard Superlattice
- Radiative Higgs mode in photoinduced pairs
- Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall - Superconductor Heterostructures
- SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities
- Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy
- Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
- Itinerant magnetism in Hubbard models with long-range interactions
- Insulating charge transfer ferromagnetism
- Excited states from local effective Hamiltonians of matrix product states and their entanglement spectrum transition
- Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
- Majorana string simulation of nonequilibrium dynamics in two-dimensional lattice fermion systems
- Dynamics of Quantum Chiral Solitons
- Identification and optimization of accurate spin models for Fermi-Hubbard ladders using matrix product states
- Variational matrix product states for combinatorial optimization
- Boundary Criticality at the Nishimori Multicritical Point
- Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
- Exponential Symmetry-Breaking Phase as a Disorder-Free Quantum Glass
- Anomalous Dynamical Scaling at Topological Quantum Criticality
- Simplex Crystal Ground State and Magnetization Plateaus in the Spin- Heisenberg Model on the Ruby Lattice
- Linear Foundation Model for Quantum Embedding: Data-Driven Compression of the Ghost Gutzwiller Variational Space
- Finding periodic orbits in projected quantum many-body dynamics
- Tensor-based phase difference estimation on time series analysis
- Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains
- Adiabatic preparation of a number-conserving atomic Majorana phase
- Diffusion in quantum state preparation: From passive cooling to system-bath engineering
- Entanglement entropy scaling laws from fluctuations of non-conserved quantities
- Spiral Phase and Phase Diagram of the =1/2 XXZ Model on the Shastry-Sutherland Lattice
- Who can compete with quantum computers? Lecture notes on quantum inspired tensor networks computational techniques
- Orthogonally Constrained CASSCF Framework: Newton-Raphson Orbital Optimization and Nuclear Gradients
- Transfer learning of many-body electronic correlation entropy from local measurements
- Scaling and Luescher Term in a non-Abelian (2+1)d SU Quantum Link Model
- Ground-State-Based Model Reduction with Unitary Circuits
- Competing states in the triangular-lattice - Heisenberg model: a dynamical density-matrix renormalization group study
- Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices
- Photoemission Signatures of Photoinduced Carriers and Excitons in One-Dimensional Mott Insulators
- Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
- Quantum criticality and factorization in a constrained Rydberg spin chain
- Spiral spin liquid resilient to quantization in the frustrated honeycomb antiferromagnet GdZnPO
- Micromagnons and long-range entanglement in ferrimagnetic ground states
- Formal Verification of Quantum Ancilla Safety
- Transport in a System with a Tower of Quantum Many-Body Scars
- Implementation of Tensor Network Simulation TN-Sim under NWQ-Sim
- Dynamical cluster-based strategy for improving tensor network algorithms in quantum circuit simulations
- Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
- Structural Dynamics and Strong Correlations in Dynamical Quantum Optical Lattices
- Yu-Shiba-Rusinov states in color superconducting quark matter
- Energy transport in Z3 chiral clock model
- Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
- Dynamical quantum phase transitions on random networks
- Symmetry resolved out-of-time-order correlators of Heisenberg spin chains using projected matrix product operators
- Nonunitary gates using measurements only
- Boundary-driven magnetization transport in the spin- XXZ chain: Role of the system-bath coupling strength and timescales
- Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension
- Exact surface energy of the Hubbard model with nonparallel boundary magnetic fields
- Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
- Beyond Ground States: Physics-Inspired Optimization of Excited States of Classical Hamiltonians
- Moiré-resonant surface state in ultrathin RuO
- k-Contextuality as a Heuristic for Memory Separations in Learning
- Fractal Path Strategies for Efficient 2D DMRG Simulations
- Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band