We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi. As the monotone pair skew information generalizes the Wigner-Yanase-Dyson skew information as well as some other skew information, our result also extends a few known results on the uncertainty relations. Particularly it reduces to that of Luo, Yanagi, and Furuichi et al. in the special cases.
Bibliographical noteFunding Information:
We thank the anonymous referee for valuable comments and a simplified proof of Lemma 3.1 which improved the first version of the paper. C.K. Ko was supported by WCU (World Class University) program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology R31-2008-000-10049-0. H.J. Yoo was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-313-C00085).
All Science Journal Classification (ASJC) codes
- Applied Mathematics