Solution (source code)

= Solution
{c}

A resonant <Rabi pi pulse> gives
$$
\boxed{\delta=0,\qquad \tau=\frac{\pi}{V},\qquad U(\tau)=-i\sigma_x.}
$$
It swaps $|0\rangle$ and $|1\rangle$ with a common <global phase>, implementing the <Pauli gate> $X$, or NOT. Its <Bloch sphere> action is a half-turn about the $x$-axis.