A Linear Operator that changes the spin of a Qubit.
Definition
The quantum operation is
1 & 1\\ 1 & -1\\ \end{array}\right]$$ Or, $u \ket{0} = \alpha$. # Properties - The quantum operation $U \in \mathcal{L}(V)$ is Norm preserving, and thereby [[Preserving Inner Products and Vector Isomorphism|Inner Product Preserving]] - Therefore, the quantum operation is a [[Unitary Operator|Unitary]] operation $U U^{*} = I$