Table 8 The setting angles of HWP5 and 6 for the observable measurements. The observables (vectors) in parentheses are the observables in Yu-Oh’s scenario, and the vectors in square brackets are the additional vectors in ref.¹⁵.

\({A^{\prime} }_{1}{A^{\prime} }_{9}\)

(\({a^{\prime} }_{9}\))

(\({a^{\prime} }_{1}\))

[\({A^{\prime} }_{1h}\)]

22.5°

17.6°

\({A^{\prime} }_{2}{A^{\prime} }_{9}\)

(\({a^{\prime} }_{9}\))

(\({a^{\prime} }_{2}\))

[\({A^{\prime} }_{2h}\)]

22.5°

−17.6°

\({A^{\prime} }_{3}{A^{\prime} }_{10}\)

(\({a^{\prime} }_{10}\))

(\({a^{\prime} }_{3}\))

[\({A^{\prime} }_{3h}\)]

67.5°

17.6°

\({A^{\prime} }_{4}{A^{\prime} }_{10}\)

(\({a^{\prime} }_{10}\))

(\({a^{\prime} }_{4}\))

[\({A^{\prime} }_{4h}\)]

−22.5°

17.6°

\({A^{\prime} }_{5}{A^{\prime} }_{6}\), \({A^{\prime} }_{5}{A^{\prime} }_{11}\), \({A^{\prime} }_{6}{A^{\prime} }_{11}\)

(\({a^{\prime} }_{11}\))

(\({a^{\prime} }_{5}\))

(\({a^{\prime} }_{6}\))

0°

22.5°

\({A^{\prime} }_{7}{A^{\prime} }_{8}\), \({A^{\prime} }_{7}{A^{\prime} }_{12}\), \({A^{\prime} }_{8}{A^{\prime} }_{12}\)

(\({a^{\prime} }_{12}\))

(\({a^{\prime} }_{8}\))

(\({a^{\prime} }_{7}\))

45°

22.5°

\({A^{\prime} }_{9}{A^{\prime} }_{10}\), \({A^{\prime} }_{9}{A^{\prime} }_{13}\), \({A^{\prime} }_{10}{A^{\prime} }_{13}\)

(\({a^{\prime} }_{9}\))

(\({a^{\prime} }_{10}\))

(\({a^{\prime} }_{13}\))

22.5°

0°

\({A^{\prime} }_{11}{A^{\prime} }_{12}\), \({A^{\prime} }_{11}{A^{\prime} }_{13}\), \({A^{\prime} }_{12}{A^{\prime} }_{13}\)

(\({a^{\prime} }_{11}\))

(\({a^{\prime} }_{12}\))

(\({a^{\prime} }_{13}\))

0°

0°