Generalized polarization measurement and its connection with information energy

Abstract

We generalize the polarization measurement to the projective measurements of mutually unbiased bases (MUBs). Based on this result, we reveal a direct connection between polarization measurement and information energy function. We also express the polarization measurement by means of symmetric informationally complete positive operator-valued measures (SIC-POVMs). We present an argument suggesting that polarization measurement by means of SIC-POVMs requires fewer resources than the projective measurements of MUBs.