SciPost Submission Page
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 submitted: | Sept. 18, 2025, 10:56 a.m. |
| Submitted by: | Carignano, Stefano |
| Submitted to: | SciPost Physics Codebases |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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:
Voting in preparation
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.
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%)
