Many-body Quantum Score: a scalable benchmark for digital and analog quantum processors and first test on a commercial neutral atom device

Data accompanying the paper [arXiv:2601.03461](https://arxiv.org/abs/2601.03461).The simulations and the hardware runs were produced with code built on the [`mbqs`](https://github.com/HaroldErbin/mbqs) package. The dataset contains quench dynamics of one-dimensional chains of neutral atoms in the Rydberg regime, compared to the transverse-field Ising model they emulate: - exact simulations of the Ising model;- noiseless and noisy emulations of the Rydberg chain with Pulser;- runs on a Pasqal QPU (Ruby), and exact emulations of the same sequences on the Qaptiva/QLM platform;- the cross-run analysis (peak times, propagation velocities, errors with respect to reference models).