Imagine That an Electron with an Initial Spin State $$|\psi\rangle=\left[\begin{array}{l}\sqrt{1 / 2} \\\sqrt{1 / 2}\end{array}\right]$$

Multiple Choice

Imagine that an electron with an initial spin state
$$|\psi\rangle=\left[\begin{array}{l}\sqrt{1 / 2} \\\sqrt{1 / 2}\end{array}\right]$$
Goes into an SGz device and comes out the - channel of that device. The electron's spin state is now

A) $\left[\begin{array}{l}\sqrt{1 / 2} \\ \sqrt{1 / 2}\end{array}\right]$
B) $\left[\begin{array}{l}-\sqrt{1 / 2} \\ -\sqrt{1 / 2}\end{array}\right]$
C) $\left[\begin{array}{l}\sqrt{1 / 2} \\ -\sqrt{1 / 2}\end{array}\right]$
D) $\left[\begin{array}{l}1 \\ 0\end{array}\right]$
E) $\left[\begin{array}{l}0 \\ 1\end{array}\right]$