(a) Show that ρ=|a⟩⟨a| is a density operator.
(b) Find the expected value of σ_y in this state.
(c) Determine whether it represents a pure state or a mixed state.
PLEASE WRITE THE STEP BY STEP WITH ALL THE ALGEBRA AND ANSWER ALL THE PARAGRAPHS OR I'M GOING TO DOWNVOTE.
a) = e-iosin(0) (0) + cos(0) 1).
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