Schrödinger uncertainty relation, Wigner–Yanase–Dyson skew information and metric adjusted correlation measure

In this paper, we give Schrödinger-type uncertainty relation using the Wigner–Yanase–Dyson skew information. In addition, we give Schrödinger-type uncertainty relation by use of a two-parameter extended correlation measure. We finally show a further generalization of Schrödinger-type uncertainty relation by use of the metric adjusted correlation measure. These results generalize our previous result in [Phys. Rev. A 82 (2010) 034101].