Table 15 Experimental average values and theoretical results of observables for the input state \(\tfrac{1}{\sqrt{2}}(|{\overrightarrow{{\rm{e}}}}_{1})+|{\overrightarrow{{\rm{e}}}}_{2}\,))\). 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 |
|---|---|---|---|---|---|---|---|---|
\(\overline{{A^{\prime} }_{1}}\) | −0.355 (8) | −0.333 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{6}}\) | −0.342 (5) | −0.333 | \(\overline{{A^{\prime} }_{5}{A^{\prime} }_{6}}\) | −0.985 (0) | −1 |
\(\overline{{A^{\prime} }_{2}}\) | 0.871 (2) | 1 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{7}}\) | −0.822 (4) | −0.833 | \(\overline{{A^{\prime} }_{5}{A^{\prime} }_{11}}\) | −0.897 (5) | −1 |
\(\overline{{A^{\prime} }_{3}}\) | 0.891 (1) | 1 | \(\overline{{A^{\prime} }_{1}{A^{\prime} }_{9}}\) | −0.799 (3) | −0.833 | \(\overline{{A^{\prime} }_{6}{A^{\prime} }_{11}}\) | 0.882 (5) | 1 |
\(\overline{{A^{\prime} }_{4}}\) | −0.235 (8) | −0.333 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{5}}\) | −0.953 (1) | −1 | \(\overline{{A^{\prime} }_{7}{A^{\prime} }_{8}}\) | −0.028 (10) | 0 |
\(\overline{{A^{\prime} }_{5}}\) | −0.882 (5) | −1 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{8}}\) | 0.427 (19) | 0.5 | \(\overline{{A^{\prime} }_{7}{A^{\prime} }_{12}}\) | −0.494 (11) | −0.5 |
\(\overline{{A^{\prime} }_{6}}\) | 0.897 (5) | 1 | \(\overline{{A^{\prime} }_{2}{A^{\prime} }_{9}}\) | 0.408 (8) | 0.5 | \(\overline{{A^{\prime} }_{8}{A^{\prime} }_{12}}\) | −0.479 (0) | −0.5 |
\(\overline{{A^{\prime} }_{7}}\) | 0.479(0) | 0.5 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{5}}\) | −0.959 (0) | −1 | \(\overline{{A^{\prime} }_{9}{A^{\prime} }_{10}}\) | −0.017 (5) | 0 |
\(\overline{{A^{\prime} }_{8}}\) | 0.494 (11) | 0.5 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{7}}\) | 0.457 (3) | 0.5 | \(\overline{{A^{\prime} }_{9}{A^{\prime} }_{13}}\) | −0.504 (16) | −0.5 |
\(\overline{{A^{\prime} }_{9}}\) | 0.479 (18) | 0.5 | \(\overline{{A^{\prime} }_{3}{A^{\prime} }_{10}}\) | 0.434 (2) | 0.5 | \(\overline{{A^{\prime} }_{10}{A^{\prime} }_{13}}\) | −0.479 (18) | −0.5 |
\(\overline{{A^{\prime} }_{10}}\) | 0.504 (16) | 0.5 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{6}}\) | −0.339 (5) | −0.333 | \(\overline{{A^{\prime} }_{11}{A^{\prime} }_{12}}\) | −0.005 (6) | 0 |
\(\overline{{A^{\prime} }_{11}}\) | 0.996 (1) | 1 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{8}}\) | −0.816 (11) | −0.833 | \(\overline{{A^{\prime} }_{11}{A^{\prime} }_{13}}\) | 0 (7) | 0 |
\(\overline{{A^{\prime} }_{12}}\) | 0 (7) | 0 | \(\overline{{A^{\prime} }_{4}{A^{\prime} }_{10}}\) | −0.820 (5) | −0.833 | \(\overline{{A^{\prime} }_{12}{A^{\prime} }_{13}}\) | −0.996 (1) | −1 |
\(\overline{{A^{\prime} }_{13}}\) | 0.005 (6) | 0 | Â | Â | Â | Â | Â | Â |
Original Yu-Oh | \(\mathop{\sum }\limits_{i=1}^{13}\overline{{A^{\prime} }_{i}}-\frac{1}{4}\mathop{\sum }\limits_{i=1}^{13}\mathop{\sum }\limits_{j=1,j\ne i}^{13}{\Gamma }_{i,j}\overline{{A^{\prime} }_{i}{A^{\prime} }_{j}}=8.205\pm 82\) | |||||||
