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Published April 23, 2026 | Version v1

Supplement and Dataset for Bootstrapped Time-Integrated Spread Complexity

  • 1. ROR icon American Physical Society

Description

Supporting dataset and notebooks for:

* Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity, M. Suzen, arXiv, arXiv:2604.14224](2026)

This is the data generation and analysis notebooks. See requirements.txt. Primary package is Leymosun v0.4.14

Notebooks

`datagen-krylov.ipynb`: Generates the data. $N=6,7,8$ and range of $\gamma$, stores Lanczos and
integrated complexity and fidelity related data after applying Lanzos algorithm.
`analysis-spread-fidelity.ipynb`: Analysis of the dataset.

Dataset

`data_rp.dill`: List of namedtuples, see datagen for the definition of tuple.
This is distributed in the data release.

Results

* `Bootstrapped Integrated`:
* Bootstrapped Integrated spread complexity and integrated fidelity: N=6,7,8 and
gammas (2 plots with confidence interval).
* `Early-times: Scrambling of Entanglement`: Visualize C(t) and F(t) per N-gamma, 20 repeats and mean,
selective for N=8, 3-regimes (6 plots+2): N=8, gamma=0.1, 1,4, 5.0, early fine-grain.
* `Krylov scrambling`: Visualize b_n Krylov. N=8, 2-regimes.

Plots
 
Names are self explanatory.

* `plots/early-spread-0.1.pdf`
* `plots/early-spread-1.4.pdf`
* `plots/early-spread-5.0.pdf`
* `plots/integrated-fidelity-gamma.pdf`
* `plots/integrated-spread-gamma.pdf`
* `plots/lanczos-bn.pdf`

Files

analysis-spread-fidelity.ipynb

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Additional details

Related works

Is supplement to
Preprint: arXiv:2604.14224 (arXiv)

Software

Repository URL
https://github.com/msuzen/leymosun
Programming language
Python