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

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 $(\pi/4, 0, 0)$.