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Free keywords:
QUASI-PROBABILITY DISTRIBUTIONS; WIGNER DISTRIBUTION;
MAXIMUM-LIKELIHOOD; DENSITY-MATRIX; OPTICAL-FIBER; EM ALGORITHM; STATES;
SPIN; REPRESENTATION; ENTANGLEMENTPhysics;
Abstract:
We reconstruct the polarization sector of a bright polarization squeezed beam starting from a complete set of Stokes measurements. Given the symmetry that underlies the polarization structure of quantum fields, we use the unique SU(2) Wigner distribution to represent states. In the limit of localized bright states, the Wigner function can be approximated by an inverse three-dimensional Radon transform. We compare this direct reconstruction with the results of a maximum likelihood estimation, thus finding excellent agreement.