Quantum polarization tomography of bright squeezed light

TL;DR

This paper presents a method for reconstructing the polarization state of bright squeezed light using Stokes measurements and Wigner distribution techniques, demonstrating accurate results through comparison of two reconstruction methods.

Contribution

It introduces a novel approach combining SU(2) Wigner distribution and Radon transform for quantum polarization tomography of bright squeezed states.

Findings

Excellent agreement between Radon transform and maximum likelihood reconstructions

Effective representation of quantum polarization states with SU(2) Wigner distribution

Validated method for quantum polarization tomography of bright squeezed light

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 and 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, finding an excellent agreement.