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.
Cite
@article{arxiv.2509.03699,
title = {The ITransverse.jl library for transverse tensor network contractions},
author = {Stefano Carignano},
journal= {arXiv preprint arXiv:2509.03699},
year = {2026}
}