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Statistical ensemble formalism of Kim, Mandel and Wolf (J. Opt. Soc. Am. A 4,433 (1987)) offers a realistic model for characterizing the effect ofstochastic non-image forming optical media on the state of polarization oftransmittedlight. With suitable choice of the Jones ensemble, various Muellertransformations - some of which have been unknown so far - are deduced. It isobserved that the ensemble approach is formally identical to the positiveoperator valued measures (POVM) on the quantum density matrix. Thisobservation, in combination with the recent suggestion by Ahnert and Payne(Phys. Rev. A 71, 012330, (2005)) - in the context of generalized quantummeasurement on single photon polarization states - that linear optics elementscan be employed in setting up all possible POVMs, enables us to propose a wayof realizing different types of Mueller devices.

A POVM view of the ensemble approach to polarization optics