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

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