Experimental realization of a single qubit SIC POVM on via a   one-dimensional photonic quantum walk
  Symmetric informationally complete positive operator-valued measurement (SIC-POVM) is one important class of quantum measurement which is crucial for various quantum information processing tasks. SIC-POVMs have the advantage of providing an unbiased estimator for quantum states with the minimal number of outcomes needed for full tomography. We present an experimental approach on a photonic quantum walk which can be used to implement SIC-POVMs on a single-qbubit. The projection measurements of single-photons' positions correspond to elements of SIC-POVM on the polarization of single-photons. 
Zhihao Bian, Jian Li, Hao Qin, Xiang Zhan, and Peng Xue
quant-ph