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.
@article{arxiv.1412.2355,
title = {Experimental realization of a single qubit SIC POVM on via a one-dimensional photonic quantum walk},
author = {Zhihao Bian and Jian Li and Hao Qin and Xiang Zhan and Peng Xue},
journal= {arXiv preprint arXiv:1412.2355},
year = {2014}
}