A Generalized Uncertainty Relation

作者:Chen, Zhengli*; Liang, Lili; Li, Haojing; Wang, Wenhua
来源:International Journal of Theoretical Physics, 2015, 54(8): 2644-2651.
DOI:10.1007/s10773-014-2496-8

摘要

By using a generalization of the Wigner-Yanase-Dyson skew information, a quantity is vertical bar U-rho(alpha)vertical bar introduced in this paper for every Hilbert-Schmidt operator A on a Hilbert space H and a related uncertainty relation was established. The obtained inequality generalizes a known uncertainty relation. Moreover, a negative answer to a conjecture induced in Dou and Du (Int. J. Theor. Phys. 53, 952-958, 2014) was given by a counterexample.