Supplement and Dataset for Bootstrapped Time-Integrated Spread Complexity
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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`



