Normal ∣ψ⟩\left\lvert \psi \right\rangle∣ψ⟩ is normal if it has Magnitude 1 ∣∣∣ψ⟩∣∣=1\begin{gather*} ||\left\lvert \psi \right\rangle||=1 \end{gather*}∣∣∣ψ⟩∣∣=1 To normalize a state we do 1=⟨ψspin∣ψspin⟩=∑n=0d−1∣ψn∣21=\braket{\psi_{spin}|\psi_{spin}}=\sum_{n=0}^{d-1}|\psi_n|^21=⟨ψspin∣ψspin⟩=n=0∑d−1∣ψn∣2Operator