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