English

Schr\"odinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure

Quantum Physics 2012-01-17 v4

Abstract

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].

Keywords

Cite

@article{arxiv.1010.0392,
  title  = {Schr\"odinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure},
  author = {Shigeru Furuichi and Kenjiro Yanagi},
  journal= {arXiv preprint arXiv:1010.0392},
  year   = {2012}
}

Comments

Section 3 was revised