Breidbart basis
= Breidbart basis
{c}
The Breidbart basis bisects the computational and diagonal qubit bases. For equiprobable $|0\rangle$ and $|-\rangle$, whose overlap magnitude is $1/\sqrt2$, it realizes the Helstrom measurement and succeeds with probability
$$
\frac12\left(1+\frac1{\sqrt2}\right)=\cos^2\frac\pi8.
$$
This intermediate basis occurs in attacks and discrimination calculations involving <BB84>.