Knowledge base
The Pauli-X gate is a single-qubit rotation through π\piπ radians around the x-axis.
X=σx=σ1=(0110)\ X = \sigma_x = \sigma_1 = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} X=σx=σ1=(0110)
Examples: