Table 14 Experimental average values and theoretical results of observables for the input state \(\tfrac{1}{\sqrt{2}}(|{\overrightarrow{{\rm{e}}}}_{0})+|{\overrightarrow{{\rm{e}}}}_{2}))\). The dates behind the experimental average values in the parentheses are standard deviations.
Terms | Experimental value | Theoretical prediction | Terms | Experimental value | Theoretical prediction | Terms | Experimental value | Theoretical prediction |
|---|---|---|---|---|---|---|---|---|
\(\overline{{A^{\prime} }_{1}}\) | 0.939 (1) | 1 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{6}}\) | 0.475 (7) | 0.5 | \(\overline{{A^{\prime} }_{5}{A^{\prime} }_{6}}\) | −0.008 (3) | 0 |
\(\overline{{A^{\prime} }_{2}}\) | −0.343 (14) | −0.333 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{7}}\) | −0.953 (1) | −1 | \(\overline{{A^{\prime} }_{5}{A^{\prime} }_{11}}\) | −0.498 (1) | −0.5 |
\(\overline{{A^{\prime} }_{3}}\) | 0.951 (6) | 1 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{9}}\) | 0.483 (11) | 0.5 | \(\overline{{A^{\prime} }_{6}{A^{\prime} }_{11}}\) | −0.495 (5) | −0.5 |
\(\overline{{A^{\prime} }_{4}}\) | −0.330 (24) | −0.333 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{5}}\) | −0.823 (4) | −0.833 | \(\overline{{A^{\prime} }_{7}{A^{\prime} }_{8}}\) | −0.997 (0) | −1 |
\(\overline{{A^{\prime} }_{5}}\) | 0.495 (5) | 0.5 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{8}}\) | −0.339 (5) | −0.333 | \(\overline{{A^{\prime} }_{7}{A^{\prime} }_{12}}\) | −0.892 (4) | −1 |
\(\overline{{A^{\prime} }_{6}}\) | 0.498 (1) | 0.5 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{9}}\) | −0.826 (5) | −0.833 | \(\overline{{A^{\prime} }_{8}{A^{\prime} }_{12}}\) | 0.889 (4) | 1 |
\(\overline{{A^{\prime} }_{7}}\) | −0.889 (4) | −1 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{5}}\) | 0.499 (19) | 0.5 | \(\overline{{A^{\prime} }_{9}{A^{\prime} }_{10}}\) | −0.004 (2) | 0 |
\(\overline{{A^{\prime} }_{8}}\) | 0.892 (4) | 1 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{7}}\) | −0.948 (5) | −1 | \(\overline{{A^{\prime} }_{9}{A^{\prime} }_{13}}\) | −0.490 (3) | −0.5 |
\(\overline{{A^{\prime} }_{9}}\) | 0.505 (3) | 0.5 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{10}}\) | 0.453 (6) | 0.5 | \(\overline{{A^{\prime} }_{10}{A^{\prime} }_{13}}\) | −0.505 (3) | −0.5 |
\(\overline{{A^{\prime} }_{10}}\) | 0.490 (3) | 0.5 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{6}}\) | −0.822 (6) | −0.833 | \(\overline{{A^{\prime} }_{11}{A^{\prime} }_{12}}\) | −0.038 (3) | 0 |
\(\overline{{A^{\prime} }_{11}}\) | 0.017 (4) | 0 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{8}}\) | −0.334 (1) | −0.333 | \(\overline{{A^{\prime} }_{11}{A^{\prime} }_{13}}\) | −0.945 (0) | −1 |
\(\overline{{A^{\prime} }_{12}}\) | 0.945 (0) | 1 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{10}}\) | −0.827 (8) | −0.833 | \(\overline{{A^{\prime} }_{12}{A^{\prime} }_{13}}\) | −0.017 (4) | 0 |
\(\overline{{A^{\prime} }_{13}}\) | 0.038 (3) | 0 | Â | Â | Â | Â | Â | Â |
Original Yu-Oh | \(\mathop{\sum }\limits_{i=1}^{13}\overline{{A^{\prime} }_{i}}-\frac{1}{4}\mathop{\sum }\limits_{i=1}^{13}\mathop{\sum }\limits_{j=1,j\ne i}^{13}{\Gamma }_{i,j}\overline{{A^{\prime} }_{i}{A^{\prime} }_{j}}=8.189\pm 68\) | |||||||
