  We demonstrate an implementation of unambiguous state discrimination of two
equally probable single-qubit states via a one-dimensional photonic quantum
walk experimentally. Furthermore we experimentally realize a quantum walk
algorithm for implementing a generalized measurement in terms of positive
operator value measurement on a single qubit. The measurement of the
single-photons' positions corresponds to a measurement of an element of the
positive operator value measurement on the polarizations of the single-photons.
