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The ITransverse.jl library for transverse tensor network contractions

by Stefano Carignano

Submission summary

Authors (as registered SciPost users): Stefano Carignano
Submission information
Preprint Link: https://arxiv.org/abs/2509.03699v1  (pdf)
Code repository: https://github.com/starsfordummies/ITransverse.jl
Code version: 0.24.1
Code license: APACHE 2.0
Date accepted: Dec. 2, 2025
Date submitted: Sept. 18, 2025, 10:56 a.m.
Submitted by: Stefano Carignano
Submitted to: SciPost Physics Codebases
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Computational
  • Quantum Physics
Approach: Computational

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.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Codebases: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #1 by Atsushi Ueda (Referee 1) on 2025-11-13 (Invited Report)

Strengths

Very high quality paper. It provides a wide range of examples for applications. This package also provides a great step to the author's more recent paper on time-evolution with sampling. Definately one of the most state-of-art package for time-evolution in the community.

Weaknesses

NA

Report

This paper introduces a user-friendly Julia package for simulating time-evolution of one-dimensional quantum systems. Conventionally, time-evolution of quantum states are performed through applying a time-evolution operator on a state, TEBD and TDVP, for instance. These schemes are known to suffer from so-called "entanglement barrier," which refers to the exponential growth of entanglement with time. As the maximum entanglement in the simulation is fundamentally restricted by the bond dimension of MPSs, the entanglement barrier was inevitable limitation to simulate long-time dynamics.

This paper instead represents a time-evolution of the states by evaluating a 2d space-time tensor network. The main advantage of this view is that contracting the tensors in the space direction often can circumvent the entanglement barrier. This allows us to access the quantum dynamics way beyond the traditionally achievable time range. The package provides a several intuitive way for simulating this state-of-art technique, opening up the new avenue for simulating quantum quenches and such.

The paper provides extensive explanation of both theoretical background and hands on benchmarking codes(also lots thereof in the github repo). I believe this paper matches all the criteria for this journal.

Requested changes

I am very happy with the current manuscript.

Recommendation

Publish (surpasses expectations and criteria for this Journal; among top 10%)

  • validity: top
  • significance: top
  • originality: high
  • clarity: top
  • formatting: perfect
  • grammar: perfect

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