Dataset for: Control-centric quantum noise spectroscopy of time-ordered polyspectra

Numerical simulation data supporting all figures in the manuscript "Control-centric quantum noise spectroscopy of time-ordered polyspectra" by Steven, Coupe, Yu & Paz-Silva (PRX Quantum, under review 2026). A preprint is available at arXiv:2604.07682. The dataset contains CSV files organised into four subdirectories: fig2_gaussian_spectrum/ — Complex power spectrum reconstruction for a classical Gaussian bath (Fig. 2). Theory curves, comb reconstructions, and Kramers-Kronig-derived complements for the real and imaginary noise power spectrum. fig3_power_spectrum/ — Symmetric and causal components of the quantum power spectrum for a non-Gaussian quantum bath (Fig. 3). Theory and reconstruction for the (classical & quantum) real and imaginary time ordered spectrum fig4_bispectrum/ — Time-ordered bispectrum reconstruction for zzz and xzz filter functions (Fig. 4). Theory and reconstruction for real and imaginary components of the zzz and xzz projections of the time-ordered bispectrum control_sequences/ — Pulse parameters for all control sequences used in the bispectrum reconstructions, as tabulated in the manuscript appendix. A full README.md describing column formats, units, and figure correspondence is included in the archive.