Hadamard gate
= Hadamard gate
{c}
The Hadamard gate maps
$$
|0\rangle\mapsto\frac{|0\rangle+|1\rangle}{\sqrt2},
\qquad
|1\rangle\mapsto\frac{|0\rangle-|1\rangle}{\sqrt2}.
$$
= Hadamard gate
{c}
The Hadamard gate maps
$$
|0\rangle\mapsto\frac{|0\rangle+|1\rangle}{\sqrt2},
\qquad
|1\rangle\mapsto\frac{|0\rangle-|1\rangle}{\sqrt2}.
$$