Quiz: Complexifying Quantum States

Test your knowledge on complexifying quantum states.

1

∣ψ⟩⇒(a0a1)⟨ψ∣⇒(a0∗a1∗).|ψ⟩ ⇒ \begin{pmatrix} a_0 \\ a_1 \end{pmatrix} \hspace{0.3cm} ⟨ψ| ⇒ (a^∗_0 \hspace{0.3cm} a^∗_1).

What is the value of ⟨ψ∣ψ⟩⟨ψ|ψ⟩?

A)

∣a0∣2+∣a1∣2|a_0|^2 + |a_1|^2

B)

∣a0∣2−∣a1∣2|a_0|^2 - |a_1|^2

C)

−∣a0∣2+∣a1∣2-|a_0|^2 + |a_1|^2

D)

−∣a0∣2−∣a1∣2-|a_0|^2 - |a_1|^2

Question 1 of 50 attempted

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