This data repository contains the Supplemental Material, original figures, numerical (raw) data and plot scripts to reproduce the results from the publication "Entanglement across scales: Quantics tensor trains as a natural framework for renormalization" at Physical Review Research. The preprint is available on arXiv. The calculations were performed in Julia and Wolfram Mathematica. For the Julia (v1.10.10) plot scripts, the following non-standard libraries have been used: DelimitedFiles v1.9.1 CairoMakie v0.15.5 HDF5 v0.17.2 LaTeXStrings v1.4.0. CurveFit v0.6.1 QuadGK v2.11.2 DataFrames v1.8.1 The data was created among others using the publicly available tensor4all libraries and ITensors. Wolfram Mathematica version 14.1 was used. The structure of the repository is the following: In the folders "figure_x" the original figure ("figure_x.pdf"), the plot script for producing the figure ("plot_script_figure_x.jl") and the corresponding numerical raw data can be found. The data files are in ".h5" and ".txt" format. The Supplemental Material contains explicit derivations of the analytical results presented in the paper with explicitly referencing the corresponding equations of the paper. The folder "Supplemental_Material" consists of the following two Mathematica notebooks: Supplemental_Nearest_Neighbor.nb Supplemental_Next_Nearest_Neighbor.nb The CC-BY license applies to all the data and pdf files. All distributed code is under the MIT license.