Sum uncertainty relations based on Wigner-Yanase skew information

Bin Chen, Shao-Ming Fei, and Gui-Lu Long

Contact the author: Please use for correspondence this email.
Submission date: 07. Jul. 2016
Pages: 14
published in: Quantum information processing, 15 (2016) 6, p. 2639-2648 
DOI number (of the published article): 10.1007/s11128-016-1274-3
Bibtex
Download full preprint: PDF (113 kB)

Abstract:
We study sum uncertainty relations for arbitrary finite N quantum mechanical observables. Some uncertainty inequalities are presented by using skew information introduced by Wigner and Yanase. These uncertainty inequalities are nontrivial as long as the observables are mutually noncommutative. The relations among these new and existing uncertainty inequalities have been investigated. Detailed examples are presented.