Maximally polarized states for quantum light fields

Physics – Quantum Physics

Scientific paper

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4 pages, 3 eps-color figures

Scientific paper

10.1103/PhysRevA.76.043820

The degree of polarization of a quantum state can be defined as its Hilbert-Schmidt distance to the set of unpolarized states. We demonstrate that the states optimizing this degree for a fixed average number of photons $\bar{N}$ present a fairly symmetric, parabolic photon statistics, with a variance scaling as $\bar{N}^2$. Although no standard optical process yields such a statistics, we show that, to an excellent approximation, a highly squeezed vacuum can be considered as maximally polarized.

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