Quantum Fundamentals 2021
A beam of spin-\(\frac{1}{2}\) particles is prepared in the state:
\[\left\vert \psi\right\rangle = \frac{2}{\sqrt{13}}\left\vert +\right\rangle+ i\frac{3}{\sqrt{13}} \left\vert -\right\rangle\]
What are the possible results of a measurement of the spin component \(S_z\), and with what probabilities would they occur? Check Beasts: Check that you have the right “beast.”
What are the possible results of a measurement of the spin component \(S_x\), and with what probabilities would they occur? Check Beasts: Check that you have the right “beast.”
Use Another Representation: Plot histograms of the predicted measurement results from parts \((a)\) and \((b)\). Your histogram should be a vertical bar chart with the value of the spin component on the horizontal axis and the probability on the vertical axis.