tribhu

Suppose we have a qubit in the state |ψ⟩=12|0⟩+3√2|1⟩. If we measure this qubit in |u⟩=3√2|0⟩+12|1⟩,|u⊥⟩=−12|0⟩+3√2|1⟩ basis, what is the probability that the outcome is u

a) A vertically polarized photon goes through two polarizing filters, the first of which is vertically aligned and the second at 45 degrees. What is the probability that the photon is transmitted through both filters?