The ITransverse.jl library for transverse tensor network contractions
arXiv:2509.03699 · doi:10.21468/SciPostPhysCodeb.63
Abstract
Transverse contraction methods are extremely promising tools for the efficient contraction of tensor networks associated with the time evolution of quantum many-body systems, allowing in some cases to circumvent the entanglement barrier that would normally prevent the study of quantum dynamics with classical resources. We present here the ITransverse.jl package, written in Julia and based on ITensors.jl, containing several of these high-level algorithms, including novel prescriptions for efficient truncations of temporal matrix product states.
30 pages, 15 figures
References in corpus (51)
- The density-matrix renormalization group in the age of matrix product states
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Many body localization and thermalization in quantum statistical mechanics
- Efficient simulation of one-dimensional quantum many-body systems
- Real time evolution using the density matrix renormalization group
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- The ITensor Software Library for Tensor Network Calculations
- Time-dependent variational principle for quantum lattices
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Quantum entanglement in condensed matter systems
- Time-evolution methods for matrix-product states
- Dynamical quantum phase transitions: a review
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Matrix product operator representations
- Time-evolving a matrix product state with long-ranged interactions
- Operator space entanglement entropy in transverse Ising chain
- Matrix Product States for dynamical simulation of infinite chains
- Lecture Notes of Tensor Network Contractions
- Generic Construction of Efficient Matrix Product Operators
- Is efficiency of classical simulations of quantum dynamics related to integrability?
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
- Tensor Network Algorithms: a Route Map
- Many-Body Localization in the Age of Classical Computing
- Holographic Pseudo Entropy
- Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits
- Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
- Timelike entanglement entropy
- Influence matrix approach to many-body Floquet dynamics
- Tensor network techniques for the computation of dynamical observables in 1D quantum spin systems
- Temporal entanglement, quasiparticles and the role of interactions
- Pseudo Entropy in Free Quantum Field Theories
- Connecting Entanglement in Time and Space: Improving the Folding Algorithm
- Lightcone renormalization and quantum quenches in one-dimensional Hubbard models
- Light Cone Matrix Product
- Temporal Entanglement in Chaotic Quantum Circuits
- Scaling of temporal entanglement in proximity to integrability
- Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
- Light cone tensor network and time evolution
- SVD Entanglement Entropy
- Geometric Interpretation of Timelike Entanglement Entropy
- On temporal entropy and the complexity of computing the expectation value of local operators after a quench
- Matrix product state fixed points of non-Hermitian transfer matrices
- Simulating quantum dynamics in two-dimensional lattices with tensor network influence functional belief propagation
- Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
- Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
- Real-time dynamics of a critical Resonating Valence Bond spin liquid
- Musings on SVD and pseudo entanglement entropies
- Overcoming the entanglement barrier with sampled tensor networks
- Measuring temporal entropies in experiments