Quantum Estimation of the Stokes Vector Rotation for a General Polarimetric Transformation

Classical polarimetry is a rich and well established discipline within classical optics with many applications in different branches of science. Ever-growing interest in utilizing quantum resources in order to make highly sensitive measurements, prompted the researchers to describe polarized light in a quantum mechanical framework and build a quantum theory of polarimetry within this framework. In this work, inspired by the polarimetric studies in biological tissues, we study the ultimate limit of rotation angle estimation with a known rotation axis in a quantum polarimetric process, which consists of three quantum channels. The rotation angle to be estimated is induced by the retarder channel on the Stokes vector of the probe state. However, the diattenuator and depolarizer channels act on the probe state, which effectively can be thought of as a noise process. Finally the quantum Fisher information (QFI) is calculated and the effect of these noise channels and their ordering is studied on the estimation error of the rotation angle.