Student handout: Multiple Representations of a Quantum State

Quantum Fundamentals 2021
Students re-represent a state given in Dirac notation in matrix notation

Represent the state:

\[\left|{\psi}\right\rangle = \frac{1}{3}\left|{+}\right\rangle + \frac{\sqrt{8}}{3}e^{i\pi/4}\left|{-}\right\rangle \]

  1. in matrix notation (using the \(S_z\) basis)


  2. with a graph of the coefficients (probability amplitudes)


  3. with the arms representation


  4. with a probability histogram


Keywords
Quantum Mechanics Quantum State Arms Histogram Multiple Representations
Learning Outcomes