Symmetrized IP of the output states versus the purity of the initial states

This dataset contains the raw numerical simulation data for Figure 3 of the paper *Interferometric Power of Quantum Evolutions*. It includes the correspondence between the symmetrized interferometric power (IP) of output quantum states and the purity of input Classical-Classical (CC) states under the action of two-qubit unitary gates of different Cartan decomposition types. The dataset covers single-axis, dual-axis, and three-axis isotropic coupling gates, with input states classified into rank-2, rank-3, and rank-4 categories, and is used to quantify the IP-generation capability of two-qubit unitary gates.Supplementary File Naming Conventions1. The file named `probability` corresponds to the probability sets $p_{r,s}$.2. Files with the naming format `XXXXXXXX_100` contain the symmetrized interferometric power generated by the unitary gate with Cartan parameters $(\pi/10, 0, 0)$.3. Files with the naming format `XXXXXXXX_400` contain the symmetrized interferometric power generated by the unitary gate with Cartan parameters $(\pi/4, 0, 0)$.