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The normalized linear polarization state is $|\theta ⟩=\cos \theta |H⟩+\sin \theta |V⟩$. A transmitted-photon count implements the projector $|\theta ⟩⟨\theta |$. The Born rule givesthe single-photon form of Malus's law, assuming ideal polarizers and detection.

The polarization of an electromagnetic wave describes the path traced by its transverse electric-field vector at a fixed point. A monochromatic wave may be linearly, circularly, or elliptically polarized; in vacuum it has two independent transverse polarization states.

This specializes polarization of waves to electric-field oscillations.