Fig. 6: Reconstruction of target matrix elements and rotation angles.

Theoretical and simulated values of the projection probabilities a1 \({P}_{1,1}^{8}\), a2 \({P}_{1,1}^{12}\), a3 \({P}_{1,1}^{16}\), and a4 \({P}_{1,1}^{20}\). b Real and imaginary components of the characterized process matrix element \({\chi }_{10,11}^{10,10}\). c Comparative analysis of rotation angle extraction. In Figures (a1)–(a4), the blue solid lines represent the theoretical values of probabilities, while the red data points denote the simulated values. In Figure (b), the blue solid line and the red solid line respectively represent the theoretical values of the real and imaginary parts of the target process matrix elements. The yellow hexagrams and purple hexagrams respectively denote the simulated values of the real and imaginary parts of the target process matrix elements. In Figure (c), the blue solid line represents the theoretical values of the target rotation angles, while the red hexagrams denote the simulated values of the target rotation angles.