Manuscript Em03-F@1 · Em03-F-v1.tex · section · 0d4d148b

Phase-sensitive witnesses and what number counts miss

Phase-sensitive witnesses and what number counts miss · lines 1097–1111

For a weighted coefficient $l$ , define

E_{s i n, l} = \frac{1}{2} (I + Im W (l)), E_{c o s, l} = \frac{1}{2} (I + Re W (l)),

where

Im W (l) = \frac{W ( l ) - W ( l ) ^{†}}{2 i} .

Both are effects because the real and imaginary parts of a unitary are self-adjoint contractions.

Displayed formulas in this passage

unlabeled · line 1101
$E_{s i n, l} = \frac{1}{2} (I + Im W (l)), E_{c o s, l} = \frac{1}{2} (I + Re W (l)),$
unlabeled · line 1106
$Im W (l) = \frac{W ( l ) - W ( l ) ^{†}}{2 i} .$