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

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

2010-10-03

arxiv.org/abs/1010.0392v4

Journal of Mathematical Analysis and Applications, Vol.388(2012), pp.1147--1156

Physics

Quantum Physics

Section 3 was revised

Scientific paper

10.1016/j.jmaa.2011.10.061

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

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