The normalized linear polarization state is ∣θ⟩=cosθ∣H⟩+sinθ∣V⟩. A transmitted-photon count implements the projector ∣θ⟩⟨θ∣. The Born rule givesthe single-photon form of Malus's law, assuming ideal polarizers and detection.
p(θ)=∣⟨θ∣H⟩∣2=cos2θ,
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