Dataset for "Impact of Clifford operations on non-stabilizing power and quantum chaos"

The uploaded folder contains multiple subfolders, each corresponding to a figure in the manuscript “Impact of Clifford operations on non-stabilizing power and quantum chaos” (arXiv:2505.14793). This work has been accepted for publication in Quantum. Each data subfolder is labeled Fig$k$, and, as the name indicates, contains the numerical data associated with Fig. $k$ of the manuscript. For example, the data in Fig2 correspond to Fig. 2 of the paper. Figs. 1 and 5 contain schematic illustrations; therefore, no numerical data are associated with these figures. Fig2 and Fig3 Thermalization of non-stabilizing power versus time steps Data format: single-column NumPy arrays. nonstab_N=2_k1(blue).npy: Non-stabilizing power for the system size (N=2), obtained from repeated applications of a single non-Clifford gate interspersed with random Clifford gates (blue markers in the figure). SD_N=2_k1(blue).npy: Corresponding standard deviation for N=2 under the same protocol. Fig4 Operator-space non-stabilizing power for Ising models Data format: single-column NumPy arrays. Example: OSNP_N=8_chaotic_ising.npy denotes the operator-space non-stabilizing power (OSNP) for N=8 in the chaotic Ising chain. The Hamiltonian parameters are specified in the manuscript. Fig6 and Fig7 Average level-spacing ratio of Floquet circuits These folders contain the numerical data corresponding to the average level-spacing ratio for two-qubit interactions along the edges of the tetrahedron geometry, for various system sizes. Data format: two-column NumPy arrays. Column 1: interaction parameter being varied. Column 2: mean level-spacing ratio. File names explicitly include: The edge name (e.g., ID_CNOT) The system size (e.g., N=12) For instance: ID_SWAP_N12.npy indicates the mean-level sapcing ratio along the edge ID --- SWAP for the system size N=12. Fig8 Verification of analytical expressions for non-stabilizing power This subfolder contains numerical data validating the analytical expressions for the non-stabilizing power of two-qubit gates along various tetrahedral edges. Data format: two-column NumPy arrays: Column 1: parameter being varied, and Column 2: corresponding non-stabilizing power. Fig9 The data corresponds to the scatter plot, illustrating the entangling power and the non-stabilizing powers of the random two-qubit gates. The data file is a two-column array. The first column corresponds to the entangling power, and the second column corresponds to the non-stabilizing power. Fig10 Non-stabilizing power of two-qubit gates embedded in a four-qubit Hilbert space Data format: identical to Fig8. Column 1: varied parameter, and Column 2: corresponding non-stabilizing power.